total-serialism
Version:
A set of methods for the generation and transformation of number sequences useful in algorithmic composition
1 lines • 2.03 MB
JavaScript
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Negri[9]",size:9,tune:440,center:69,range:1200,cents:[0,126.31579,252.63158,442.10526,568.42105,694.73684,821.05263,947.36842,1073.68421]},"09-19a":{description:"Second strictly proper 9 out of 19 scale",size:9,tune:440,center:69,range:1200,cents:[0,126.31579,315.78947,378.94737,568.42105,694.73684,821.05263,947.36842,1073.68421]},"09-22":{description:"Trivalent scale in 22-tET, TL 05-12-2000",size:9,tune:440,center:69,range:1200,cents:[0,109.09091,272.72727,381.81818,545.45455,709.09091,818.18182,981.81818,1036.36364]},"09-23":{description:"9 out of 23-tET, Dan Stearns",size:9,tune:440,center:69,range:1200,cents:[0,156.52174,260.86957,417.3913,521.73913,678.26087,782.6087,939.13043,1043.47826]},"09-29":{description:"Cycle of g=124.138 in 29-tET (Negri temperament)",size:9,tune:440,center:69,range:1200,cents:[0,124.13793,248.27586,372.41379,496.55172,620.68966,744.82759,868.96552,993.10345]},"09-31":{description:"Scott Thompson scale 724541125",size:9,tune:440,center:69,range:1200,cents:[0,270.96774,348.3871,503.22581,696.77419,851.6129,890.32258,929.03226,1006.45161]},"10-13-58":{description:"Single chain pseudo-MOS of major and neutral thirds in 58-tET",size:10,tune:440,center:69,range:1200,cents:[0,186.2069,289.65517,393.10345,537.93103,641.37931,744.82759,931.03448,1034.48276,1096.55172]},"10-13":{description:"10 out of 13-tET MOS, Carl Lumma, TL 21-12-1999",size:10,tune:440,center:69,range:1200,cents:[0,184.61538,276.92308,369.23077,553.84615,646.15385,738.46154,923.07692,1015.38462,1107.69231]},"10-19":{description:"10 out of 19-tET, Mandelbaum. Negri[10]",size:10,tune:440,center:69,range:1200,cents:[0,126.31579,252.63158,315.78947,442.10526,568.42105,694.73684,821.05263,947.36842,1073.68421]},"10-29":{description:"10 out of 29-tET, chain of 124.138 cents intervals, Keenan",size:10,tune:440,center:69,range:1200,cents:[0,124.13793,248.27586,372.41379,455.17241,579.31034,703.44828,827.58621,951.72414,1075.86207]},"11-18":{description:"11 out of 18-tET, g=333.33, TL 27-09-2009",size:11,tune:440,center:69,range:1200,cents:[0,133.33333,200,333.33333,466.66667,533.33333,666.66667,800,866.66667,1e3,1133.33333]},"11-19-gould":{description:"11 out of 19-tET, Mark Gould (2002)",size:11,tune:440,center:69,range:1200,cents:[0,126.31579,252.63158,315.78947,442.10526,568.42105,694.73684,757.89474,884.21053,1010.52632,1136.84211]},"11-19-krantz":{description:"11 out of 19-tET, Richard Krantz",size:11,tune:440,center:69,range:1200,cents:[0,126.31579,252.63158,378.94737,505.26316,631.57895,694.73684,821.05263,884.21053,1010.52632,1136.84211]},"11-19-mclaren":{description:"11 out of 19-tET, Brian McLaren. Asc: 311313313 Desc: 313131313",size:11,tune:440,center:69,range:1200,cents:[0,189.47368,252.63158,315.78947,505.26316,568.42105,631.57895,694.73684,757.89474,947.36842,1010.52632]},"11-23":{description:"11 out of 23-tET, Dan Stearns",size:11,tune:440,center:69,range:1200,cents:[0,104.34783,208.69565,313.04348,417.3913,521.73913,678.26087,782.6087,886.95652,991.30435,1095.65217]},"11-31":{description:"Jon Wild, 11 out of 31-tET, g=7/6, TL 9-9-1999",size:11,tune:440,center:69,range:1200,cents:[0,116.12903,232.25806,387.09677,503.22581,541.93548,658.06452,774.19355,929.03226,1045.16129,1161.29032]},"11-34":{description:"Erv Wilson, 11 out of 34-tET, chain of minor thirds, Kleismic-11",size:11,tune:440,center:69,range:1200,cents:[0,70.58824,247.05882,317.64706,494.11765,564.70588,635.29412,811.76471,882.35294,952.94118,1129.41176]},"11-37":{description:"Jake Freivald, 11 out of 37-tET, g=11/8, TL 22-08-2012",size:11,tune:440,center:69,range:1200,cents:[0,162.16216,259.45946,356.75676,454.05405,551.35135,713.51351,810.81081,908.10811,1005.40541,1102.7027]},"11-limit-only":{description:"11-limit-only",size:11,tune:440,center:69,range:1200,cents:[0,150.6370585006306,165.00422849992202,347.40794063398204,417.50796410436817,551.3179423647567,648.6820576352434,782.4920358956317,852.5920593660182,1034.995771500078,1049.3629414993693]},"12-17":{description:"12 out of 17-tET, chain of fifths",size:12,tune:440,center:69,range:1200,cents:[0,70.58824,141.17647,282.35294,352.94118,494.11765,564.70588,635.29412,776.47059,847.05882,988.23529,1058.82353]},"12-19":{description:"12 out of 19-tET scale from Mandelbaum's dissertation",size:12,tune:440,center:69,range:1200,cents:[0,63.15789,189.47368,252.63158,378.94737,505.26316,568.42105,694.73684,757.89474,884.21053,947.36842,1073.68421]},"12-22":{description:"12 out of 22-tET, chain of fifths",size:12,tune:440,center:69,range:1200,cents:[0,163.63636,218.18182,381.81818,436.36364,490.90909,654.54545,709.09091,872.72727,927.27273,1090.90909,1145.45455]},"12-22h":{description:"Hexachordal 12-tone scale in 22-tET",size:12,tune:440,center:69,range:1200,cents:[0,109.09091,218.18182,327.27273,436.36364,490.90909,600,709.09091,818.18182,927.27273,1036.36364,1145.45455]},"12-27":{description:"12 out of 27, Herman Miller's Galticeran scale",size:12,tune:440,center:69,range:1200,cents:[0,133.33333,222.22222,311.11111,400,533.33333,622.22222,711.11111,800,933.33333,1022.22222,1111.11111]},"12-31":{description:"12 out of 31-tET, meantone Eb-G#",size:12,tune:440,center:69,range:1200,cents:[0,77.41935,193.54839,309.67742,387.09677,503.22581,580.64516,696.77419,774.19355,890.32258,1006.45161,1083.87097]},"12-31_11":{description:"11-limit 12 out of 31-tET, George Secor",size:12,tune:440,center:69,range:1200,cents:[0,38.70968,193.54839,270.96774,387.09677,464.51613,541.93548,696.77419,774.19355,890.32258,967.74194,1083.87097]},"12-43":{description:"12 out of 43-tET (1/5-comma meantone)",size:12,tune:440,center:69,range:1200,cents:[0,83.72093,195.34884,306.97674,390.69767,502.32558,586.04651,697.67442,781.39535,893.02326,1004.65116,1088.37209]},"12-46":{description:"12 out of 46-tET, diaschismic",size:12,tune:440,center:69,range:1200,cents:[0,104.34783,208.69565,286.95652,391.30435,495.65217,600,704.34783,808.69565,886.95652,991.30435,1095.65217]},"12-46p":{description:"686/675 comma pump scale in 46-tET",size:12,tune:440,center:69,range:1200,cents:[0,130.43478,260.86957,391.30435,443.47826,521.73913,573.91304,704.34783,834.78261,965.21739,1069.56522,1095.65217]},"12-50":{description:"12 out of 50-tET, meantone Eb-G#",size:12,tune:440,center:69,range:1200,cents:[0,72,192,312,384,504,576,696,768,888,1008,1080]},"12-79mos159et":{description:"12-tones out of 79 MOS 159ET, Splendid Beat Rates Based on Simple Frequencies version, C=262hz",size:12,tune:440,center:69,range:1200,cents:[0,91.68918,197.53525,302.37506,392.9089,498.04499913461245,589.34246,701.9550008653874,792.07675,897.52405,1003.09655,1093.54687]},"12-TET":{description:" 12-TET or Tone Equal Temperatement divides an octave into 12 equal steps",size:12,tune:440,center:69,range:1200,cents:[0,100,200,300,400,500,600,700,800,900,1e3,1100]},"12-yarman24a":{description:"12-tones out of Yarman24a, circulating in the style of Rameau's Modified Meantone Temperament",size:12,tune:440,center:69,range:1200,cents:[0,84.36,192.18,292.18,386.3137138648348,498.04499913461245,584.07906,696.09,788.27,888.27,996.0899982692251,1088.2687147302222]},"12-yarman24b":{description:"12-tones out of Yarman24b, circulating in the style of Rameau's Modified Meantone Temperament",size:12,tune:440,center:69,range:1200,cents:[0,84.36,192.18,292.18,386.3137138648348,498.04499913461245,584.35871,696.09,788.27,888.27,996.0899982692251,1088.2687147302222]},"12-yarman24c":{description:"12-tones out of Yarman24c, circulating in the style of Rameau's Modified Meantone Temperament",size:12,tune:440,center:69,range:1200,cents:[0,85.05893,191.77076,292.41297,383.5415210401936,498.04499913461245,581.3819,695.88538,788.73595,887.65614,996.0899982692251,1085.4965219055812]},"12-yarman24d":{description:"12-tones out of Yarman24d, circulating in the style of Rameau's Modified Meantone Temperament",size:12,tune:440,center:69,range:1200,cents:[0,83.32982,190.84857,291.83661,381.69714,498.04499913461245,579.07643,695.42429,787.58321,886.27286,996.0899982692251,1083.65214]},"13-19":{description:"13 out of 19-tET, Mandelbaum",size:13,tune:440,center:69,range:1200,cents:[0,126.31579,189.47368,315.78947,378.94737,505.26316,568.42105,694.73684,757.89474,884.21053,947.36842,1073.68421,1136.84211]},"13-22":{description:"13 out of 22-tET, generator = 5",size:13,tune:440,center:69,range:1200,cents:[0,109.09091,218.18182,327.27273,381.81818,490.90909,600,654.54545,763.63636,872.72727,927.27273,1036.36364,1145.45455]},"13-30t":{description:"Tritave with 13/10 generator, 91/90 tempered out",size:13,tune:440,center:69,range:1901.9550008653873,cents:[0,126.797,253.594,443.7895,570.5865,697.3835,887.579,1014.376,1141.173,1331.3685,1458.1655,1584.9625,1775.158]},"13-31":{description:"13 out of 31-tET Hemiw�rschmidt[13]",size:13,tune:440,center:69,range:1200,cents:[0,154.83871,193.54839,348.3871,387.09677,541.93548,580.64516,735.48387,774.19355,929.03226,967.74194,1122.58065,1161.29032]},"14-19":{description:"14 out of 19-tET, Mandelbaum",size:14,tune:440,center:69,range:1200,cents:[0,63.15789,189.47368,252.63158,315.78947,442.10526,505.26316,568.42105,694.73684,757.89474,821.05263,947.36842,1010.52632,1136.84211]},"14-26":{description:"Two interlaced diatonic in 26-tET, tetrachordal. Paul Erlich (1996)",size:14,tune:440,center:69,range:1200,cents:[0,92.30769,184.61538,276.92308,369.23077,461.53846,507.69231,600,692.30769,784.61538,876.92308,969.23077,1061.53846,1153.84615]},"14-26a":{description:"Two interlaced diatonic in 26-tET, maximally even. Paul Erlich (1996) ",size:14,tune:440,center:69,range:1200,cents:[0,92.30769,184.61538,276.92308,369.23077,461.53846,553.84615,600,692.30769,784.61538,876.92308,969.23077,1061.53846,1153.84615]},"15-37":{description:"Miller's Porcupine-15",size:15,tune:440,center:69,range:1200,cents:[0,97.2973,162.16216,259.45946,324.32432,421.62162,486.48649,583.78378,648.64865,745.94595,810.81081,908.10811,972.97297,1070.27027,1135.13514]},"15-46":{description:"Valentine[15] in 46-et tuning",size:15,tune:440,center:69,range:1200,cents:[0,78.26087,156.521739,234.782609,313.043478,391.304348,469.565217,547.826087,626.086957,704.347826,782.608696,886.956522,965.217391,1043.478261,1121.73913]},"16-139":{description:'g=9 steps of 139-tET. Gene Ward Smith "Quartaminorthirds" 7-limit temperament',size:16,tune:440,center:69,range:1200,cents:[0,77.69784,155.39568,233.09353,310.79137,388.48921,466.18705,543.88489,621.58273,699.28058,776.97842,854.67626,932.3741,1010.07194,1087.76978,1165.46763]},"16-145":{description:"Magic[16] in 145-tET",size:16,tune:440,center:69,range:1200,cents:[0,148.96552,206.89655,264.82759,322.75862,380.68966,438.62069,587.58621,645.51724,703.44828,761.37931,819.31034,968.27586,1026.2069,1084.13793,1142.06897]},"16-31":{description:"Armodue semi-equalizzato",size:16,tune:440,center:69,range:1200,cents:[0,77.41935,154.83871,232.25806,309.67742,387.09677,464.51613,541.93548,619.35484,696.77419,774.19355,851.6129,929.03226,967.74194,1045.16129,1122.58065]},"17-31":{description:"17 out of 31, with split C#/Db, D#/Eb, F#/Gb, G#/Ab and A#/Bb",size:17,tune:440,center:69,range:1200,cents:[0,77.41935,116.12903,193.54839,270.96774,309.67742,387.09677,503.22581,580.64516,619.35484,696.77419,774.19355,812.90323,890.32258,967.74194,1006.45161,1083.87097]},"17-53":{description:"17 out of 53-tET, Arabic Pythagorean scale, Safiyudd�n Al-Urmaw� (Safi al-Din)",size:17,tune:440,center:69,range:1200,cents:[0,90.56604,181.13208,203.77358,294.33962,384.90566,407.54717,498.11321,588.67925,679.24528,701.88679,792.45283,883.01887,905.66038,996.22642,1086.79245,1177.35849]},"19-31":{description:"19 out of 31-tET, meantone Gb-B#",size:19,tune:440,center:69,range:1200,cents:[0,77.41935,116.12903,193.54839,270.96774,309.67742,387.09677,464.51613,503.22581,580.64516,619.35484,696.77419,774.19355,812.90323,890.32258,967.74194,1006.45161,1083.87097,1161.29032]},"19-31ji":{description:"A septimal interpretation of 19 out of 31 tones, after Wilson, XH7+8 ",size:19,tune:440,center:69,range:1200,cents:[0,70.67242686428234,111.73128526977776,203.91000173077484,266.87090560373764,315.64128700055255,386.3137138648348,435.0840952616501,498.04499913461245,582.51219260429,617.4878073957099,701.9550008653874,764.9159047383502,813.6862861351652,884.3587129994474,968.8259064691249,996.0899982692251,1088.2687147302222,1137.0390961270373]},"19-36":{description:"19 out of 36-tET, Tomasz Liese, Tuning List, 1997",size:19,tune:440,center:69,range:1200,cents:[0,66.66667,133.33333,200,266.66667,333.33333,400,466.66667,500,566.66667,633.33333,700,766.66667,833.33333,900,966.66667,1033.33333,1100,1133.33333]},"19-50":{description:"19 out of 50-tET, meantone Gb-B#",size:19,tune:440,center:69,range:1200,cents:[0,72,120,192,264,312,384,456,504,576,624,696,768,816,888,960,1008,1080,1152]},"19-53":{description:"19 out of 53-tET, Larry H. 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1.3.5.7.9.11.13.15 56-any, 1.3.5 tonic, only 48 notes",size:48,tune:440,center:69,range:1200,cents:[0,26.84137563414541,53.27294323014412,72.40279587297002,84.46719346967761,138.57266090392307,155.13962033395975,165.00422849992202,191.8456041340673,203.91000173077484,223.0398543736006,266.87090560373764,303.57688940384503,320.14384883388163,342.48266263469804,368.91423023069683,386.3137138648348,431.87513410365955,454.2139479044758,470.7809073345124,507.4868911346198,551.3179423647567,582.51219260429,590.2237155956096,609.3535682384356,635.7851358344343,658.1239496352505,689.8906032686798,701.9550008653874,721.0848535082133,755.2279440955316,786.4221943350649,818.1888479684943,840.5276617693106,866.9592293653092,905.8650025961623,924.9948552389882,937.6316562295916,968.8259064691249,1005.5318902692327,1017.5962878659401,1044.4376635000854,1049.3629414993693,1088.2687147302222,1107.398567373048,1133.8301349690469,1156.1689487698634,1172.7359081998998]},"67-135":{description:"67 out of 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