edo.js

<!DOCTYPE html> <html lang="en"> <head> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>count</title>  <link type="text/css" rel="stylesheet" href="styles/third-party/ionicons.min.css"> <link type="text/css" rel="stylesheet" href="styles/third-party/prettify-tomorrow.css"> <link type="text/css" rel="stylesheet" href="styles/jsdoc-default.css"> <link type="text/css" rel="stylesheet" href="styles/clean-jsdoc-theme-base.css"> <link type="text/css" rel="stylesheet" href="styles/clean-jsdoc-theme-light.css"> <svg aria-hidden="true" version="1.1" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" style="display:none"> <defs> <symbol id="copy-icon" viewbox="0 0 488.3 488.3"> <g> <path d="M314.25,85.4h-227c-21.3,0-38.6,17.3-38.6,38.6v325.7c0,21.3,17.3,38.6,38.6,38.6h227c21.3,0,38.6-17.3,38.6-38.6V124 C352.75,102.7,335.45,85.4,314.25,85.4z M325.75,449.6c0,6.4-5.2,11.6-11.6,11.6h-227c-6.4,0-11.6-5.2-11.6-11.6V124 c0-6.4,5.2-11.6,11.6-11.6h227c6.4,0,11.6,5.2,11.6,11.6V449.6z"/> <path d="M401.05,0h-227c-21.3,0-38.6,17.3-38.6,38.6c0,7.5,6,13.5,13.5,13.5s13.5-6,13.5-13.5c0-6.4,5.2-11.6,11.6-11.6h227 c6.4,0,11.6,5.2,11.6,11.6v325.7c0,6.4-5.2,11.6-11.6,11.6c-7.5,0-13.5,6-13.5,13.5s6,13.5,13.5,13.5c21.3,0,38.6-17.3,38.6-38.6 V38.6C439.65,17.3,422.35,0,401.05,0z"/> </g> </symbol> </defs> </svg> </head> <body> <input type="checkbox" id="nav-trigger" class="nav-trigger" /> <label for="nav-trigger" class="navicon-button x"> <div class="navicon"></div> </label> <label for="nav-trigger" class="overlay"></label> <nav> <h2><a href="index.html"><div class="text">Home</div></a></h2><div class="search-box"><input type="text" placeholder="Search..." id="search-box" /><div class="search-item-container" id="search-item-container"><ul class="search-item-ul" id="search-item-ul"></ul></div></div><div class="sidebar-list-div"><h3>Classes</h3><ul><li><a href="EDO.html">EDO</a><ul class='methods'><li data-type='method'><a href="EDO.html#scale">scale</a></li></ul></li><li><a href="Scale.html">Scale</a><ul class='methods'><li data-type='method'><a href="Scale.html#complement">complement</a></li><li data-type='method'><a href="Scale.html#invert">invert</a></li><li data-type='method'><a href="Scale.html#mode">mode</a></li><li data-type='method'><a href="Scale.html#normal">normal</a></li><li data-type='method'><a href="Scale.html#prime">prime</a></li></ul></li><li><a href="Time.html">Time</a></li></ul><h3>Namespaces</h3><ul><li><a href="EDO_convert.html">convert</a><ul class='methods'><li data-type='method'><a href="EDO_convert.html#.cents_to_interval">cents_to_interval</a></li><li data-type='method'><a href="EDO_convert.html#.cents_to_ratio">cents_to_ratio</a></li><li data-type='method'><a href="EDO_convert.html#.freq_to_midi">freq_to_midi</a></li><li data-type='method'><a href="EDO_convert.html#.interval_to_cents">interval_to_cents</a></li><li data-type='method'><a href="EDO_convert.html#.interval_to_ratio">interval_to_ratio</a></li><li data-type='method'><a href="EDO_convert.html#.intervals_to_pitches">intervals_to_pitches</a></li><li data-type='method'><a href="EDO_convert.html#.intervals_to_scale">intervals_to_scale</a></li><li data-type='method'><a href="EDO_convert.html#.midi_to_freq">midi_to_freq</a></li><li data-type='method'><a href="EDO_convert.html#.midi_to_intervals">midi_to_intervals</a></li><li data-type='method'><a href="EDO_convert.html#.midi_to_name">midi_to_name</a></li><li data-type='method'><a href="EDO_convert.html#.name_to_scale">name_to_scale</a></li><li data-type='method'><a href="EDO_convert.html#.pc_to_name">pc_to_name</a></li><li data-type='method'><a href="EDO_convert.html#.pitches_to_freq">pitches_to_freq</a></li><li data-type='method'><a href="EDO_convert.html#.pitches_to_PCs">pitches_to_PCs</a></li><li data-type='method'><a href="EDO_convert.html#.ratio_to_cents">ratio_to_cents</a></li><li data-type='method'><a href="EDO_convert.html#.ratio_to_interval">ratio_to_interval</a></li><li data-type='method'><a href="EDO_convert.html#.to_steps">to_steps</a></li></ul></li><li><a href="EDO_count.html">count</a><ul class='methods'><li data-type='method'><a href="EDO_count.html#.common_tones">common_tones</a></li><li data-type='method'><a href="EDO_count.html#.differences">differences</a></li><li data-type='method'><a href="EDO_count.html#.pitches">pitches</a></li></ul></li><li><a href="EDO_export.html">export</a><ul class='methods'><li data-type='method'><a href="EDO_export.html#.png">png</a></li><li data-type='method'><a href="EDO_export.html#.svg">svg</a></li></ul></li><li><a href="EDO_get.html">get</a><ul class='methods'><li data-type='method'><a href="EDO_get.html#.angle">angle</a></li><li data-type='method'><a href="EDO_get.html#.best_edo_from_cents">best_edo_from_cents</a></li><li data-type='method'><a href="EDO_get.html#.combinations">combinations</a></li><li data-type='method'><a href="EDO_get.html#.complementary_interval">complementary_interval</a></li><li data-type='method'><a href="EDO_get.html#.complementary_set">complementary_set</a></li><li data-type='method'><a href="EDO_get.html#.contour">contour</a></li><li data-type='method'><a href="EDO_get.html#.contour_motives">contour_motives</a></li><li data-type='method'><a href="EDO_get.html#.coordinates">coordinates</a></li><li data-type='method'><a href="EDO_get.html#.evenly_split">evenly_split</a></li><li data-type='method'><a href="EDO_get.html#.fill_partial_harp_pedaling">fill_partial_harp_pedaling</a></li><li data-type='method'><a href="EDO_get.html#.generated_scale">generated_scale</a></li><li data-type='method'><a href="EDO_get.html#.generators">generators</a></li><li data-type='method'><a href="EDO_get.html#.harmonic_progression">harmonic_progression</a></li><li data-type='method'><a href="EDO_get.html#.harmonized_melody">harmonized_melody</a></li><li data-type='method'><a href="EDO_get.html#.harp_pedals_to_pitches">harp_pedals_to_pitches</a></li><li data-type='method'><a href="EDO_get.html#.harp_position_of_quality">harp_position_of_quality</a></li><li data-type='method'><a href="EDO_get.html#.intersection">intersection</a></li><li data-type='method'><a href="EDO_get.html#.interval_stack">interval_stack</a></li><li data-type='method'><a href="EDO_get.html#.interval_traversed">interval_traversed</a></li><li data-type='method'><a href="EDO_get.html#.inversion">inversion</a></li><li data-type='method'><a href="EDO_get.html#.lattice">lattice</a></li><li data-type='method'><a href="EDO_get.html#.levenshtein">levenshtein</a></li><li data-type='method'><a href="EDO_get.html#.maximal_carey_coherence_failures">maximal_carey_coherence_failures</a></li><li data-type='method'><a href="EDO_get.html#.maximal_rahn_difference">maximal_rahn_difference</a></li><li data-type='method'><a href="EDO_get.html#.minimal_voice_leading">minimal_voice_leading</a></li><li data-type='method'><a href="EDO_get.html#.mixture_in_cardinality">mixture_in_cardinality</a></li><li data-type='method'><a href="EDO_get.html#.modes">modes</a></li><li data-type='method'><a href="EDO_get.html#.motives">motives</a></li><li data-type='method'><a href="EDO_get.html#.n_choose_k">n_choose_k</a></li><li data-type='method'><a href="EDO_get.html#.necklace">necklace</a></li><li data-type='method'><a href="EDO_get.html#.new_pitches">new_pitches</a></li><li data-type='method'><a href="EDO_get.html#.ngrams">ngrams</a></li><li data-type='method'><a href="EDO_get.html#.normal_order">normal_order</a></li><li data-type='method'><a href="EDO_get.html#.notes_from_cents">notes_from_cents</a></li><li data-type='method'><a href="EDO_get.html#.partitioned_subsets">partitioned_subsets</a></li><li data-type='method'><a href="EDO_get.html#.path_n_steps">path_n_steps</a></li><li data-type='method'><a href="EDO_get.html#.path_on_tree">path_on_tree</a></li><li data-type='method'><a href="EDO_get.html#.permutations">permutations</a></li><li data-type='method'><a href="EDO_get.html#.pitch_distribution">pitch_distribution</a></li><li data-type='method'><a href="EDO_get.html#.pitch_fields">pitch_fields</a></li><li data-type='method'><a href="EDO_get.html#.random_melody">random_melody</a></li><li data-type='method'><a href="EDO_get.html#.random_melody_from_contour">random_melody_from_contour</a></li><li data-type='method'><a href="EDO_get.html#.random_melody_from_distribution">random_melody_from_distribution</a></li><li data-type='method'><a href="EDO_get.html#.random_melody_from_ngram">random_melody_from_ngram</a></li><li data-type='method'><a href="EDO_get.html#.ratio_approximation">ratio_approximation</a></li><li data-type='method'><a href="EDO_get.html#.retrograde">retrograde</a></li><li data-type='method'><a href="EDO_get.html#.rotated">rotated</a></li><li data-type='method'><a href="EDO_get.html#.rotations">rotations</a></li><li data-type='method'><a href="EDO_get.html#.scalar_melodies">scalar_melodies</a></li><li data-type='method'><a href="EDO_get.html#.scale_fragments">scale_fragments</a></li><li data-type='method'><a href="EDO_get.html#.scales">scales</a></li><li data-type='method'><a href="EDO_get.html#.sets_from_mixture">sets_from_mixture</a></li><li data-type='method'><a href="EDO_get.html#.shortest_path">shortest_path</a></li><li data-type='method'><a href="EDO_get.html#.simple_ratios">simple_ratios</a></li><li data-type='method'><a href="EDO_get.html#.stacked">stacked</a></li><li data-type='method'><a href="EDO_get.html#.starting_at">starting_at</a></li><li data-type='method'><a href="EDO_get.html#.step_maximal_mean_error_in_cardinality">step_maximal_mean_error_in_cardinality</a></li><li data-type='method'><a href="EDO_get.html#.step_min_max_error_in_EDO">step_min_max_error_in_EDO</a></li><li data-type='method'><a href="EDO_get.html#.step_min_max_mean_error_in_cardinality">step_min_max_mean_error_in_cardinality</a></li><li data-type='method'><a href="EDO_get.html#.step_minimal_mean_error_in_cardinality">step_minimal_mean_error_in_cardinality</a></li><li data-type='method'><a href="EDO_get.html#.subset_indices">subset_indices</a></li><li data-type='method'><a href="EDO_get.html#.subsets">subsets</a></li><li data-type='method'><a href="EDO_get.html#.transposition">transposition</a></li><li data-type='method'><a href="EDO_get.html#.union">union</a></li><li data-type='method'><a href="EDO_get.html#.unique_elements">unique_elements</a></li><li data-type='method'><a href="EDO_get.html#.well_formed_scale">well_formed_scale</a></li><li data-type='method'><a href="EDO_get.html#.without">without</a></li><li data-type='method'><a href="EDO_get.html#.without_chromatic_notes">without_chromatic_notes</a></li></ul></li><li><a href="EDO_is.html">is</a><ul class='methods'><li data-type='method'><a href="EDO_is.html#.element_of">element_of</a></li><li data-type='method'><a href="EDO_is.html#.rotation">rotation</a></li><li data-type='method'><a href="EDO_is.html#.same">same</a></li><li data-type='method'><a href="EDO_is.html#.subset">subset</a></li><li data-type='method'><a href="EDO_is.html#.transposition">transposition</a></li></ul></li><li><a href="EDO_midi.html">midi</a><ul class='methods'><li data-type='method'><a href="EDO_midi.html#.chordify">chordify</a></li><li data-type='method'><a href="EDO_midi.html#.import">import</a></li><li data-type='method'><a href="EDO_midi.html#.strip">strip</a></li></ul></li><li><a href="EDO_show.html">show</a><ul class='methods'><li data-type='method'><a href="EDO_show.html#.contour">contour</a></li><li data-type='method'><a href="EDO_show.html#.interval_fractal_tree">interval_fractal_tree</a></li><li data-type='method'><a href="EDO_show.html#.necklace">necklace</a></li><li data-type='method'><a href="EDO_show.html#.necklace_fractal">necklace_fractal</a></li><li data-type='method'><a href="EDO_show.html#.nested_necklaces">nested_necklaces</a></li></ul></li><li><a href="EDO_xml.html">xml</a></li><li><a href="Scale_count.html">count</a><ul class='methods'><li data-type='method'><a href="Scale_count.html#.chord_quality">chord_quality</a></li><li data-type='method'><a href="Scale_count.html#.consecutive_steps">consecutive_steps</a></li><li data-type='method'><a href="Scale_count.html#.imperfections">imperfections</a></li><li data-type='method'><a href="Scale_count.html#.interval">interval</a></li><li data-type='method'><a href="Scale_count.html#.M3s">M3s</a></li><li data-type='method'><a href="Scale_count.html#.m3s">m3s</a></li><li data-type='method'><a href="Scale_count.html#.major_minor_triads">major_minor_triads</a></li><li data-type='method'><a href="Scale_count.html#.min_max_n_chords_in_necklace">min_max_n_chords_in_necklace</a></li><li data-type='method'><a href="Scale_count.html#.modes">modes</a></li><li data-type='method'><a href="Scale_count.html#.n_chords">n_chords</a></li><li data-type='method'><a href="Scale_count.html#.n_chords_diatonic">n_chords_diatonic</a></li><li data-type='method'><a href="Scale_count.html#.P5s">P5s</a></li><li data-type='method'><a href="Scale_count.html#.pitches">pitches</a></li><li data-type='method'><a href="Scale_count.html#.rahn_ambiguities">rahn_ambiguities</a></li><li data-type='method'><a href="Scale_count.html#.rahn_contradictions">rahn_contradictions</a></li><li data-type='method'><a href="Scale_count.html#.rahn_differences">rahn_differences</a></li><li data-type='method'><a href="Scale_count.html#.ratio">ratio</a></li><li data-type='method'><a href="Scale_count.html#.rotational_symmetries">rotational_symmetries</a></li><li data-type='method'><a href="Scale_count.html#.simple_ratios">simple_ratios</a></li><li data-type='method'><a href="Scale_count.html#.tetrachords">tetrachords</a></li><li data-type='method'><a href="Scale_count.html#.thirds">thirds</a></li><li data-type='method'><a href="Scale_count.html#.transpositions">transpositions</a></li><li data-type='method'><a href="Scale_count.html#.trichords">trichords</a></li><li data-type='method'><a href="Scale_count.html#.unique_elements">unique_elements</a></li></ul></li><li><a href="Scale_export.html">export</a><ul class='methods'><li data-type='method'><a href="Scale_export.html#.scala">scala</a></li></ul></li><li><a href="Scale_get.html">get</a><ul class='methods'><li data-type='method'><a href="Scale_get.html#.area">area</a></li><li data-type='method'><a href="Scale_get.html#.binary_unevenness">binary_unevenness</a></li><li data-type='method'><a href="Scale_get.html#.cardinality_variety_ratio">cardinality_variety_ratio</a></li><li data-type='method'><a href="Scale_get.html#.chord_quality_from_shape">chord_quality_from_shape</a></li><li data-type='method'><a href="Scale_get.html#.coherence_quotient">coherence_quotient</a></li><li data-type='method'><a href="Scale_get.html#.common_tone_transpositions">common_tone_transpositions</a></li><li data-type='method'><a href="Scale_get.html#.complement">complement</a></li><li data-type='method'><a href="Scale_get.html#.constituent_similarity">constituent_similarity</a></li><li data-type='method'><a href="Scale_get.html#.coordinates">coordinates</a></li><li data-type='method'><a href="Scale_get.html#.diagnostic_combinations">diagnostic_combinations</a></li><li data-type='method'><a href="Scale_get.html#.diagnostic_intervals">diagnostic_intervals</a></li><li data-type='method'><a href="Scale_get.html#.edo">edo</a></li><li data-type='method'><a href="Scale_get.html#.entropy">entropy</a></li><li data-type='method'><a href="Scale_get.html#.evenness_of_spread">evenness_of_spread</a></li><li data-type='method'><a href="Scale_get.html#.generic_intervals">generic_intervals</a></li><li data-type='method'><a href="Scale_get.html#.identity_fragment">identity_fragment</a></li><li data-type='method'><a href="Scale_get.html#.information">information</a></li><li data-type='method'><a href="Scale_get.html#.interval_class">interval_class</a></li><li data-type='method'><a href="Scale_get.html#.interval_vector">interval_vector</a></li><li data-type='method'><a href="Scale_get.html#.inversion">inversion</a></li><li data-type='method'><a href="Scale_get.html#.least_step_multiplier">least_step_multiplier</a></li><li data-type='method'><a href="Scale_get.html#.lerdahl_attraction">lerdahl_attraction</a></li><li data-type='method'><a href="Scale_get.html#.lerdahl_attraction_vector">lerdahl_attraction_vector</a></li><li data-type='method'><a href="Scale_get.html#.levenshtein">levenshtein</a></li><li data-type='method'><a href="Scale_get.html#.mean">mean</a></li><li data-type='method'><a href="Scale_get.html#.melody_from_intervals">melody_from_intervals</a></li><li data-type='method'><a href="Scale_get.html#.minimal_diagnostic_combination">minimal_diagnostic_combination</a></li><li data-type='method'><a href="Scale_get.html#.mixture">mixture</a></li><li data-type='method'><a href="Scale_get.html#.mode_variance">mode_variance</a></li><li data-type='method'><a href="Scale_get.html#.modes">modes</a></li><li data-type='method'><a href="Scale_get.html#.modes_with_notes">modes_with_notes</a></li><li data-type='method'><a href="Scale_get.html#.motives_diatonic">motives_diatonic</a></li><li data-type='method'><a href="Scale_get.html#.n_chords">n_chords</a></li><li data-type='method'><a href="Scale_get.html#.n_chords_diatonic">n_chords_diatonic</a></li><li data-type='method'><a href="Scale_get.html#.name">name</a></li><li data-type='method'><a href="Scale_get.html#.necklace_family">necklace_family</a></li><li data-type='method'><a href="Scale_get.html#.necklace_family_members">necklace_family_members</a></li><li data-type='method'><a href="Scale_get.html#.neighborhood">neighborhood</a></li><li data-type='method'><a href="Scale_get.html#.normal_order">normal_order</a></li><li data-type='method'><a href="Scale_get.html#.pairwise_generic_specific_intervals">pairwise_generic_specific_intervals</a></li><li data-type='method'><a href="Scale_get.html#.per_note_set_difference">per_note_set_difference</a></li><li data-type='method'><a href="Scale_get.html#.permutations">permutations</a></li><li data-type='method'><a href="Scale_get.html#.pitches">pitches</a></li><li data-type='method'><a href="Scale_get.html#.position_of_quality">position_of_quality</a></li><li data-type='method'><a href="Scale_get.html#.prime_form">prime_form</a></li><li data-type='method'><a href="Scale_get.html#.product">product</a></li><li data-type='method'><a href="Scale_get.html#.quality_with_intervals">quality_with_intervals</a></li><li data-type='method'><a href="Scale_get.html#.reflectional_symmetry">reflectional_symmetry</a></li><li data-type='method'><a href="Scale_get.html#.resize_melody">resize_melody</a></li><li data-type='method'><a href="Scale_get.html#.rotational_symmetry">rotational_symmetry</a></li><li data-type='method'><a href="Scale_get.html#.rotations">rotations</a></li><li data-type='method'><a href="Scale_get.html#.rothenberg_propriety">rothenberg_propriety</a></li><li data-type='method'><a href="Scale_get.html#.roughness">roughness</a></li><li data-type='method'><a href="Scale_get.html#.runs">runs</a></li><li data-type='method'><a href="Scale_get.html#.sameness_quotient">sameness_quotient</a></li><li data-type='method'><a href="Scale_get.html#.scale_degree_roles">scale_degree_roles</a></li><li data-type='method'><a href="Scale_get.html#.scale_degree_transpositions">scale_degree_transpositions</a></li><li data-type='method'><a href="Scale_get.html#.sequence_transposition">sequence_transposition</a></li><li data-type='method'><a href="Scale_get.html#.set_difference">set_difference</a></li><li data-type='method'><a href="Scale_get.html#.shortest_path">shortest_path</a></li><li data-type='method'><a href="Scale_get.html#.sine_pair_dissonance">sine_pair_dissonance</a></li><li data-type='method'><a href="Scale_get.html#.specific_intervals">specific_intervals</a></li><li data-type='method'><a href="Scale_get.html#.stacks">stacks</a></li><li data-type='method'><a href="Scale_get.html#.step_mean_error">step_mean_error</a></li><li data-type='method'><a href="Scale_get.html#.step_similarity">step_similarity</a></li><li data-type='method'><a href="Scale_get.html#.step_sizes">step_sizes</a></li><li data-type='method'><a href="Scale_get.html#.step_tally">step_tally</a></li><li data-type='method'><a href="Scale_get.html#.steps_to_qualities">steps_to_qualities</a></li><li data-type='method'><a href="Scale_get.html#.supersets">supersets</a></li><li data-type='method'><a href="Scale_get.html#.symmetricalness">symmetricalness</a></li><li data-type='method'><a href="Scale_get.html#.tetrachords">tetrachords</a></li><li data-type='method'><a href="Scale_get.html#.transposition">transposition</a></li><li data-type='method'><a href="Scale_get.html#.transpositions_with_pitches">transpositions_with_pitches</a></li><li data-type='method'><a href="Scale_get.html#.trichords">trichords</a></li><li data-type='method'><a href="Scale_get.html#.unevenness">unevenness</a></li><li data-type='method'><a href="Scale_get.html#.without">without</a></li></ul></li><li><a href="Scale_is.html">is</a><ul class='methods'><li data-type='method'><a href="Scale_is.html#.deep">deep</a></li><li data-type='method'><a href="Scale_is.html#.distributionally_even">distributionally_even</a></li><li data-type='method'><a href="Scale_is.html#.in_lower_edos">in_lower_edos</a></li><li data-type='method'><a href="Scale_is.html#.invertible">invertible</a></li><li data-type='method'><a href="Scale_is.html#.maximally_even">maximally_even</a></li><li data-type='method'><a href="Scale_is.html#.mode_of">mode_of</a></li><li data-type='method'><a href="Scale_is.html#.MOLT">MOLT</a></li><li data-type='method'><a href="Scale_is.html#.myhill_property">myhill_property</a></li><li data-type='method'><a href="Scale_is.html#.normal_order">normal_order</a></li><li data-type='method'><a href="Scale_is.html#.one_of">one_of</a></li><li data-type='method'><a href="Scale_is.html#.prime_form">prime_form</a></li><li data-type='method'><a href="Scale_is.html#.sharper">sharper</a></li><li data-type='method'><a href="Scale_is.html#.subset">subset</a></li></ul></li><li><a href="Scale_show.html">show</a><ul class='methods'><li data-type='method'><a href="Scale_show.html#.interval_fractal_tree">interval_fractal_tree</a></li><li data-type='method'><a href="Scale_show.html#.necklace">necklace</a></li></ul></li><li><a href="Scale_to.html">to</a><ul class='methods'><li data-type='method'><a href="Scale_to.html#.cents">cents</a></li><li data-type='method'><a href="Scale_to.html#.EDO">EDO</a></li><li data-type='method'><a href="Scale_to.html#.steps">steps</a></li></ul></li><li><a href="Time_convert.html">convert</a><ul class='methods'><li data-type='method'><a href="Time_convert.html#.beats_to_msec">beats_to_msec</a></li><li data-type='method'><a href="Time_convert.html#.beats_to_ratios">beats_to_ratios</a></li><li data-type='method'><a href="Time_convert.html#.beats_to_tempo">beats_to_tempo</a></li></ul></li><li><a href="Time_get.html">get</a><ul class='methods'><li data-type='method'><a href="Time_get.html#.beat">beat</a></li><li data-type='method'><a href="Time_get.html#.counterpoint_cycle">counterpoint_cycle</a></li><li data-type='method'><a href="Time_get.html#.explicit">explicit</a></li><li data-type='method'><a href="Time_get.html#.fractal">fractal</a></li><li data-type='method'><a href="Time_get.html#.motives">motives</a></li><li data-type='method'><a href="Time_get.html#.ratios">ratios</a></li><li data-type='method'><a href="Time_get.html#.relational_motives">relational_motives</a></li><li data-type='method'><a href="Time_get.html#.repeated">repeated</a></li><li data-type='method'><a href="Time_get.html#.subdivisions">subdivisions</a></li></ul></li><li><a href="Time_resize.html">resize</a><ul class='methods'><li data-type='method'><a href="Time_resize.html#.by_product">by_product</a></li><li data-type='method'><a href="Time_resize.html#.by_sum">by_sum</a></li></ul></li></ul><h3><a href="global.html">Global</a></h3><ul><li><a href="global.html#myhill_property">myhill_property</a></li></ul></div> </nav> <div id="main"> <h1 id='page-title' class="page-title">count</h1> <section> <header> <h2> <span class="ancestors"><a href="Scale.html">Scale</a>#</span> count </h2> </header> <article> <div class="container-overview"> <div class="description"><p>A collection of functions that return an amount</p></div> </div> <h3 class="subsection-title">Methods</h3> <h4 class="name" id=".chord_quality"> <a href="#.chord_quality">#</a> <span class="type-signature">(static) </span>chord_quality<span class="signature">(intervals)</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the number of times a certain chord (or interval) quality (specified in intervallic units above the root) exists in the scale.</p> <p>E.g. <code>scale.count.chord_quality([4, 7, 11])</code> counts the number of times a major 7th (if in 12 EDO) appears in a scale</p> <p>Remark: "intervallic units" conform to the current tuning system used. E.g., 0-11 occupy 1 octave in 12EDO, 0-16 in 17EDO, etc.</p> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Parameters:</strong> <table class="params"> <thead> <tr> <th>Name</th> <th>Type</th> <th class="last">Description</th> </tr> </thead> <tbody> <tr> <td class="name"><code>intervals</code></td> <td class="type"> <span class="param-type">Array.<(Number|Array.<Number>)></span> </td> <td class="description last"><p>intervallic units above 0</p></td> </tr> </tbody> </table> </div> <dl class="details"> <div class="details-item-container"> <dt class="tag-source">Source:</dt> <dd class="tag-source"><ul class="dummy"><li> <a href="edo.js.html">edo.js</a>, <a href="edo.js.html#line4778">line 4778</a> </li></ul></dd> </div> </dl> <div class="method-member-container mt-20"> <strong>Returns:</strong> <dl class="param-type"> <dt> Type </dt> <dd> <span class="param-type">Number</span> </dd> </dl> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Examples</strong> <pre class="prettyprint"><code>let edo = new EDO(12) //Create a tuning context let scale = edo.scale([0,2,4,5,7,9,11]) //define new scale (Major) //Major 7th scale.count.chord_quality([4, 7, 11]) //returns 2 let scale = edo.scale([0,2,3,5,6,8,9,11]) //define new scale (Octatonic) //diminished triad scale.count.chord_quality([3, 6]) //returns 8</code></pre> <pre class="prettyprint"><code>//(in 12-EDO) count how many major OR minor triads are in the diatonic scale let scale = edo.scale([0,2,4,5,7,9,11]) //define new scale (Major) //count how many times in the diatonic scale, the 1st interval is a pitch-class of 3 OR PC4, and the 2nd interval a PC7 scale.count.chord_quality([[3,4], 7]) //returns 6</code></pre> </div> <h4 class="name" id=".consecutive_steps"> <a href="#.consecutive_steps">#</a> <span class="type-signature">(static) </span>consecutive_steps<span class="signature">(size)</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the maximal number of consecutive steps of size 'size' in the scale (and its rotations).</p> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Parameters:</strong> <table class="params"> <thead> <tr> <th>Name</th> <th>Type</th> <th class="last">Description</th> </tr> </thead> <tbody> <tr> <td class="name"><code>size</code></td> <td class="type"> <span class="param-type">Number</span> </td> <td class="description last"><p>the size of the step</p></td> </tr> </tbody> </table> </div> <dl class="details"> <div class="details-item-container"> <dt class="tag-source">Source:</dt> <dd class="tag-source"><ul class="dummy"><li> <a href="edo.js.html">edo.js</a>, <a href="edo.js.html#line4807">line 4807</a> </li></ul></dd> </div> </dl> <div class="method-member-container mt-20"> <strong>Returns:</strong> <dl class="param-type"> <dt> Type </dt> <dd> <span class="param-type">Number</span> </dd> </dl> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Example</strong> <pre class="prettyprint"><code>let edo = new EDO(12) //Create a tuning context let scale = edo.scale([0,2,4,5,7,9,11]) //define new scale (Major) scale.count.consecutive_steps(2) //returns 3</code></pre> </div> <h4 class="name" id=".imperfections"> <a href="#.imperfections">#</a> <span class="type-signature">(static) </span>imperfections<span class="signature">(tolerance<span class="signature-attributes">opt</span>, cache<span class="signature-attributes">opt</span>)</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the number of imperfections (notes that do not have a P5 above them) in the scale.</p> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Parameters:</strong> <table class="params"> <thead> <tr> <th>Name</th> <th>Type</th> <th>Attributes</th> <th>Default</th> <th class="last">Description</th> </tr> </thead> <tbody> <tr> <td class="name"><code>tolerance</code></td> <td class="type"> <span class="param-type">Number</span> </td> <td class="attributes"> <optional><br> </td> <td class="default"> 10 </td> <td class="description last"><p>allowed tolerance in cents (away from pure P5)</p></td> </tr> <tr> <td class="name"><code>cache</code></td> <td class="type"> <span class="param-type">Boolean</span> </td> <td class="attributes"> <optional><br> </td> <td class="default"> </td> <td class="description last"><p>when true, the result will be cached for faster retrieval.</p></td> </tr> </tbody> </table> </div> <dl class="details"> <div class="details-item-container"> <dt class="tag-source">Source:</dt> <dd class="tag-source"><ul class="dummy"><li> <a href="edo.js.html">edo.js</a>, <a href="edo.js.html#line4843">line 4843</a> </li></ul></dd> </div> </dl> <div class="method-member-container mt-20"> <strong>Returns:</strong> <dl class="param-type"> <dt> Type </dt> <dd> <span class="param-type">Number</span> </dd> </dl> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Example</strong> <pre class="prettyprint"><code>let edo = new EDO(12) //Create a tuning context let scale = edo.scale([0,2,4,5,7,9,11]) //define new scale (Major) scale.count.imperfections() //returns 1 scale.count.imperfections(0) //returns 7</code></pre> </div> <h4 class="name" id=".interval"> <a href="#.interval">#</a> <span class="type-signature">(static) </span>interval<span class="signature">(interval)</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the number of intervals of a specified size in the scale.</p> <p>When an array is passed, the function returns total amount of intervals found from the array.</p> <p>Remark: "intervallic units" conform to the current tuning system used. E.g., 0-11 occupy 1 octave in 12EDO, 0-16 in 17EDO, etc.</p> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Parameters:</strong> <table class="params"> <thead> <tr> <th>Name</th> <th>Type</th> <th class="last">Description</th> </tr> </thead> <tbody> <tr> <td class="name"><code>interval</code></td> <td class="type"> <span class="param-type">Number</span> | <span class="param-type">Array.<Number></span> </td> <td class="description last"><p>some interval class.</p></td> </tr> </tbody> </table> </div> <dl class="details"> <div class="details-item-container"> <dt class="tag-source">Source:</dt> <dd class="tag-source"><ul class="dummy"><li> <a href="edo.js.html">edo.js</a>, <a href="edo.js.html#line4886">line 4886</a> </li></ul></dd> </div> <div class="details-item-container"> <dt class="tag-see">See:</dt> <dd class="tag-see"> <ul> <li><a href="Scale_count.html#.chord_quality">Scale#count.chord_quality</a></li> </ul> </dd> </div> </dl> <div class="method-member-container mt-20"> <strong>Returns:</strong> <dl class="param-type"> <dt> Type </dt> <dd> <span class="param-type">Number</span> </dd> </dl> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Example</strong> <pre class="prettyprint"><code>let edo = new EDO(12) //Create a tuning context let scale = edo.scale([0,2,4,5,7,9,11]) //define new scale (Major) scale.count.interval([3,4]) //returns 7 (the amount of IC3 in the scale + the amount of IC4 in the scale)</code></pre> </div> <h4 class="name" id=".M3s"> <a href="#.M3s">#</a> <span class="type-signature">(static) </span>M3s<span class="signature">()</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the number of Major Thirds (approximations of 5:4 with a tolerance of 20 cents) in the scale.</p> <p>(To count other intervals or set a different tolerance use <a href="Scale_count.html#.ratio">Scale.count.ratio()</a>)</p> </div> <dl class="details"> <div class="details-item-container"> <dt class="tag-source">Source:</dt> <dd class="tag-source"><ul class="dummy"><li> <a href="edo.js.html">edo.js</a>, <a href="edo.js.html#line4913">line 4913</a> </li></ul></dd> </div> <div class="details-item-container"> <dt class="tag-see">See:</dt> <dd class="tag-see"> <ul> <li><a href="Scale_count.html#.ratio">Scale#count.ratio</a></li> </ul> </dd> </div> </dl> <div class="method-member-container mt-20"> <strong>Returns:</strong> <dl class="param-type"> <dt> Type </dt> <dd> <span class="param-type">Number</span> </dd> </dl> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Example</strong> <pre class="prettyprint"><code>let edo = new EDO(12) //define context let scale = edo.scale([0,2,4,5,7,9,11]) //new Scale object scale.count.M3s() //returns 3 (C-E, F-A, G-B)</code></pre> </div> <h4 class="name" id=".m3s"> <a href="#.m3s">#</a> <span class="type-signature">(static) </span>m3s<span class="signature">()</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the number of Minor Thirds (with a tolerance of 20 cents) in the scale.</p> <p>(To count other intervals or set a different tolerance use <a href="Scale_count.html#.ratio">Scale.count.ratio()</a>)</p> </div> <dl class="details"> <div class="details-item-container"> <dt class="tag-source">Source:</dt> <dd class="tag-source"><ul class="dummy"><li> <a href="edo.js.html">edo.js</a>, <a href="edo.js.html#line4929">line 4929</a> </li></ul></dd> </div> <div class="details-item-container"> <dt class="tag-see">See:</dt> <dd class="tag-see"> <ul> <li><a href="Scale_count.html#.ratio">Scale#count.ratio</a></li> </ul> </dd> </div> </dl> <div class="method-member-container mt-20"> <strong>Returns:</strong> <dl class="param-type"> <dt> Type </dt> <dd> <span class="param-type">Number</span> </dd> </dl> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Example</strong> <pre class="prettyprint"><code>let edo = new EDO(12) //define context let scale = edo.scale([0,2,4,5,7,9,11]) //new Scale object scale.count.m3s() //returns 4</code></pre> </div> <h4 class="name" id=".major_minor_triads"> <a href="#.major_minor_triads">#</a> <span class="type-signature">(static) </span>major_minor_triads<span class="signature">()</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the number of major and minor (sounding) triads in the scale.</p> <p>For other chord qualities use a combination of <a href="Scale_count.html#.chord_quality">Scale.count.chord_quality()</a> and <a href="EDO_convert.html#.ratio_to_interval">EDO.convert.ratio_to_interval()</a></p> </div> <dl class="details"> <div class="details-item-container"> <dt class="tag-source">Source:</dt> <dd class="tag-source"><ul class="dummy"><li> <a href="edo.js.html">edo.js</a>, <a href="edo.js.html#line4973">line 4973</a> </li></ul></dd> </div> <div class="details-item-container"> <dt class="tag-see">See:</dt> <dd class="tag-see"> <ul> <li><a href="Scale_count.html#.chord_quality">Scale#count.chord_quality</a></li> <li><a href="EDO_convert.html#.ratio_to_interval">EDO#convert.ratio_to_interval</a></li> </ul> </dd> </div> </dl> <div class="method-member-container mt-20"> <strong>Returns:</strong> <dl class="param-type"> <dt> Type </dt> <dd> <span class="param-type">Number</span> </dd> </dl> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Example</strong> <pre class="prettyprint"><code>let edo = new EDO(12) //define context let scale = edo.scale([0,2,4,5,7,9,11]) //Major scale.count.major_minor_triads() //returns 6</code></pre> </div> <h4 class="name" id=".min_max_n_chords_in_necklace"> <a href="#.min_max_n_chords_in_necklace">#</a> <span class="type-signature">(static) </span>min_max_n_chords_in_necklace<span class="signature">()</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the min/max number of unique combinations that can be made from the set of this necklace family.</p> </div> <dl class="details"> <div class="details-item-container"> <dt class="tag-source">Source:</dt> <dd class="tag-source"><ul class="dummy"><li> <a href="edo.js.html">edo.js</a>, <a href="edo.js.html#line4939">line 4939</a> </li></ul></dd> </div> </dl> <div class="method-member-container mt-20"> <strong>Returns:</strong> <dl class="param-type"> <dt> Type </dt> <dd> <span class="param-type">Number</span> </dd> </dl> </div> <h4 class="name" id=".modes"> <a href="#.modes">#</a> <span class="type-signature">(static) </span>modes<span class="signature">()</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the number of unique modes in the scale.</p> </div> <dl class="details"> <div class="details-item-container"> <dt class="tag-source">Source:</dt> <dd class="tag-source"><ul class="dummy"><li> <a href="edo.js.html">edo.js</a>, <a href="edo.js.html#line4992">line 4992</a> </li></ul></dd> </div> </dl> <div class="method-member-container mt-20"> <strong>Returns:</strong> <dl class="param-type"> <dt> Type </dt> <dd> <span class="param-type">Number</span> </dd> </dl> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Example</strong> <pre class="prettyprint"><code>let edo = new EDO(12) //define context let scale = edo.scale([0,2,4,5,7,9,11]) //Major scale.count.modes() //returns 7 scale = edo.scale([0,2,4,6,8,10]) //Whole-tone scale.count.modes() //returns 1</code></pre> </div> <h4 class="name" id=".n_chords"> <a href="#.n_chords">#</a> <span class="type-signature">(static) </span>n_chords<span class="signature">(options)</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the number of unique combinations that can be made from the set or subsets of it.</p> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Parameters:</strong> <table class="params"> <thead> <tr> <th>Name</th> <th>Type</th> <th class="last">Description</th> </tr> </thead> <tbody> <tr> <td class="name"><code>options</code></td> <td class="type"> <span class="param-type">Object</span> </td> <td class="description last"> <h6>Properties</h6> <table class="params"> <thead> <tr> <th>Name</th> <th>Type</th> <th>Attributes</th> <th>Default</th> <th class="last">Description</th> </tr> </thead> <tbody> <tr> <td class="name"><code>prime_form</code></td> <td class="type"> <span class="param-type">Boolean</span> </td> <td class="attributes"> <optional><br> </td> <td class="default"> false </td> <td class="description last"><p>Whether the count should consider n_chords that have the same prime form as similar</p></td> </tr> <tr> <td class="name"><code>n</code></td> <td class="type"> <span class="param-type">Array.<Number></span> </td> <td class="attributes"> <optional><br> </td> <td class="default"> [2, # of pitches] </td> <td class="description last"><p>[minimum n for n_chord, maximum n for n_chord]</p></td> </tr> <tr> <td class="name"><code>cache</code></td> <td class="type"> <span class="param-type">Boolean</span> </td> <td class="attributes"> <optional><br> </td> <td class="default"> set at Class level </td> <td class="description last"><p>whether to cache the results</p></td> </tr> </tbody> </table> </td> </tr> </tbody> </table> </div> <dl class="details"> <div class="details-item-container"> <dt class="tag-source">Source:</dt> <dd class="tag-source"><ul class="dummy"><li> <a href="edo.js.html">edo.js</a>, <a href="edo.js.html#line5009">line 5009</a> </li></ul></dd> </div> </dl> <div class="method-member-container mt-20"> <strong>Returns:</strong> <dl class="param-type"> <dt> Type </dt> <dd> <span class="param-type">Number</span> </dd> </dl> </div> <div class="method-member-container flex flex-col w-100 overflow-auto mt-20"> <strong>Example</strong> <pre class="prettyprint"><code>let edo = new EDO(12) //define context let scale = edo.scale([0,2,4,7,9]) //pentatonic scale.count.n_chords() //returns 15</code></pre> </div> <h4 class="name" id=".n_chords_diatonic"> <a href="#.n_chords_diatonic">#</a> <span class="type-signature">(static) </span>n_chords_diatonic<span class="signature">()</span><span class="type-signature"> → {Number}</span> </h4> <div class="description"> <p>Returns the number of unique (with regards to diatonicity) n_chords that can be made from the set or subsets of it.</p> </div> <dl class="details">