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names.py
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names.py
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# list of commas and the temperament family name they correspond to
# should be restricted to the 19-limit!
# fmt: off
names = [
# rank 2
# ("512/507", "512/507"), # unnamed
("diaschismic", "2147483648/2109289329"),
("flattone", "137781/131072"),
("flattone", "729/704"),
("gariboh", "3125/3087"),
("garischismic", "[25 -14 0 -1]"),
("hedgehog", "118098/117649"),
("injera", "6561/6272"),
("leapday", "[31 -21 1]"),
("liese", "[-9 11 0 -3]"),
("meantone", "59049/57344"), # 2.3.7 variant
("mohajira", "214358881/204800000"), # 2.5.11, contorted in 5-lim
("mothra", "[-36 0 1 12]"), # 2.5.7
("nexus", "1771561/1769472"),
("octacot", "5764801/5668704"), # 2.3.7, contorted in 5-lim
("orwell", "839808/823543"), # 2.3.7 alternative
("pajara", "2197265625/1977326743"), # 3.5.7 hack
("passion", "[18 -4 -5]"),
("porcupine", "1331/1296"), # 2.3.11
("rastmic", "243/242"),
("rodan", "[20 -17 3]"),
("sensamagic", "245/243"),
("sensi", "1647086/1594323"), # 2.3.7
("superpyth", "20480/19683"),
("supra", "8192/8019"),
("tridecimal", "1053/1024"),
# rank 3
# ("144/143", "144/143"), # grossmic? needs better name!
# ("55/54", "55/54"), # unnamed
# ("729/728", "729/728"), # squbemic, needs better name
("akea", "2200/2187"), # small tetracot diesis
("apollo", "100/99"), # ptolemismic
("arcturus", "15625/15309"),
("breed", "2401/2400"), # breedsmic?
("buzurg", "169/168"), # aka buzurg(ism)ic, dhanvantari
("canopus", "16875/16807"), # 3.5.7, mirkwai, indra
("counterpyth", "1216/1215"),
("demeter", "686/675"), # sengic
("freya", "[-21 -13 6 0 8]"),
("guanyin", "1728/1715"), # orwellismic
("island", "676/675"),
("konbini", "56/55"),
("landscape", "250047/250000"),
("marvel", "225/224"),
("marveltwin", "325/324"),
("metric", "703125/702464"),
("minerva", "5632/5625"), # vishdel
("mint", "36/35"),
("mothwellsmic", "99/98"), # needs better name!
("odin", "[-17 24 -18 0 6]"),
("olympic", "131072/130977"), # 2.3.7.11
("parapyth", "352/351"),
("pele", "5120/5103"), # hemifamity
("pentacircle", "896/891"),
("pine", "4000/3993"),
("portent", "166375/165888"), # 2.3.5.11
("ragismic", "4375/4374"),
("starling", "126/125"),
("superkleismic", "1953125/1889568"), # aka Shibboleth
("supermagic", "875/864"),
("symbiotic", "19712/19683"),
("thor", "1890625/1889568"),
("trimitone", "8019/8000"),
("vulkan", "512/495"),
("zeus", "121/120"), # biyatismic
("zeus", "176/175"), # valinorismic
("zeus", "6144/6125"), # porwell
# rank 4
("animist", "105/104"),
("biome", "91/90"),
# ("gentle", "364/363"), # minor minthmic (this doesn't actually give gentle)
("huntmic", "640/637"), # ehh
("kalismic", "9801/9800"),
("keenanismic", "385/384"), # keenan? (i can literally ask him) "undecimal kleismic" doesnt sound that nice
("lehmerismic", "3025/3024"), # lehmer?
("mynucumic", "196/195"), # needs better name!
("ratwolf", "351/350"),
("swetismic", "540/539"), # swets?
("werckismic", "441/440"), # needs better name!
# organized by equivalence continuum
# rank 1
# 2.3 subgroup:
# how many 2187/2048's (pyth chromatic semitones) are in a 256/243 (pyth diatonic semitone)?
# this continuum is significant as it encompasses all 5L2s tunings
("blackwood", "256/243"), # 0; 5edo
("gothic", "[27 -17]"), # 1/2; 17edo
("mystery", "[46 -29]"), # 2/3; 29edo
("countercomp", "[65 -41]"), # 3/4; 41edo
("mercator", "[-84 53]"), # 4/5; 53edo
("compton", "531441/524288"), # 1; 12edo
("19-comma", "[-30 19]"), # 2; 19edo
("whitewood", "2187/2048"), # infinity; 7edo
# 2.5 subgroup:
("augmented", "128/125"), # 1
("birds", "[72 0 -31]"), # 10
# 2.7 subgroup:
("cloudy", "[-14 0 0 5]"), # 4
("birds", "[-87 0 0 31]"), # 25
# 3.5
("bug", "27/25"),
# 2.3.5 subgroup:
("father", "16/15"), # for chromatic-diatonic continuum's completeness
# syntonic-chromatic: how many 81/80's are in a 25/24? (rank 2 except whitewood (see above) at -2)
("mavila", "135/128"), # -1
("dicot", "25/24"), # 0
("porcupine", "250/243"), # 1
("tetracot", "20000/19683"), # 2
("artoneutral", "32000000000/31381059609"), # 2.5
("amity", "1600000/1594323"), # 3
("undetrita", "205891132094649/204800000000000"), # 3.5
("gravity", "129140163/128000000"), # 4
("absurdity", "10460353203/10240000000"), # 5
# how many 81/80's in 128/125?
("meantone", "81/80"), # infinity
("python", "43046721/41943040"), # 4
# compton is 3
("gracecordial", "[-34 20 1]"), # 2.5
("schismatic", "32805/32768"), # 2
("undim", "[41 -20 -4]"), # 5/3
("misty", "67108864/66430125"), # 1.5
("diaschismic", "2048/2025"), # 1
# augmented is 0; see 2.5 subgroup
("diminished", "648/625"), # -1
# syntonic-kleismic: how many 81/80's in the 19-comma? (the 19-comma is 0)
("negri", "16875/16384"), # 4
("magic", "3125/3072"), # 5
("kleismic", "15625/15552"), # 6
("enneadecal", "[-14 -19 19]"), # 6+1/3; 19 = 28/27
# ideal number of 81/80's is about here
("parakleismic", "[8 14 -13]"), # 6+1/2
("sensi", "78732/78125"), # 7
("unicorn", "1594323/1562500"), # 8
# syntonic-31: how many 81/80's in the 31-comma ([-49 31])?
# meantone is infinity
("nusecond", "[5 13 -11]"), # 11
("myna", "[9 9 -10]"), # 10
("valentine", "[13 5 -9]"), # 9
("würschmidt", "[17 1 -8]"), # 8
("hemithirds", "[38 -2 -15]"), # 7.5 (AKA luna; very close to just)
("tertiaseptal", "[-59 5 22]"), # 22/3
("orwell", "[-21 3 7]"), # 7 (AKA orson; corresponds to the (strangely-named) "semicomma")
("miracle", "[-25 7 6]"), # 6 (AKA ampersand)
("tritonic", "[-29 11 5]"), # 5
("sentinel", "[-33 15 4]"), # 4 (as we want to include nusecond(?) may as well include this too as it's supported by more EDOs)
# period- or gen-based microtemps (enneadecal is above):
("ennealimmal", "[1 -27 18]"), # 1\9 = 27/25; note: enneadeca / ennealimma = schisma
("chlorine", "[-52 -17 34]"), # 1 = 25/24
("vishnu", "[23 6 -14]"), # (4/3)/(25/24)^7
# 2.5.7 subgroup:
("rainy", "2100875/2097152"), # 128/125 = [-14 0 0 5] (cloudly comma)
("miracle", "823543/819200"), # 2.5.7[10&31]-comma
("didacus", "3136/3125"), # = (50/49)/(128/125)
("jubilismic", "50/49"),
# 2.3.7 subgroup:
# archytas/septimal-diatonic: how many 64/63's in 256/243?
# blackwood is 0; see 2.3 subgroup
("trienstonian", "28/27"), # 1 (included for completeness)
("semaphore", "49/48"), # 2
("slendric", "1029/1024"), # 3; maybe a good argument for renaming to "gamelismic" (contrast "slendrismic")
# ("slendrismic", "[36 -5 0 -10]",), # 10/3. commented out bc confusing name!
("septiness", "67108864/66706983"), # 3.5
("buzzard", "65536/64827"), # 4
("archytas", "64/63"), # infinity
# period-based microtemps
("ennealimmal", "[-11 -9 0 9]"), # 2\9 = 7/6
("enneadecal", "[-37 57 0 -19]"), # 19 = 28/27
]