Temperament list

Below is the list of linear temperaments used in Scala, expanded a bit
lately. Can anyone tell the mapping of Egads, so I can add the TOP
tuning, and the mapping of Tritikleismic? I think I have most
low-complexity ones now. Comments and additions are appreciated.
Names without TOP are the just octave tunings.

! Format: generator period name
!
1.267241 100.0 (Waage)
1.329848 100.051421 (Waage TOP)
1.949029 99.999385 (Atomic TOP)
1.955169 100.0 (Atomic)
7.218351 63.159574 (Enneadecal TOP)
7.292252 63.157895 (Enneadecal)
12.297643 172.775916 (Jamesbond TOP)
14.663787 100.0 (Compton 5-limit)
15.126072 100.051421 (Compton 5-limit TOP)
15.562780 41.37931 (Mystery TOP)
15.954721 171.428571 (Jamesbond)
15.958172 100.051421 (Compton 7-limit TOP)
16.083636 41.369298 (Mystery 13-limit TOP)
16.095598 150.0 (Octoid)
16.23847 150.033735 (Octoid 11-limit TOP)
16.427736 100.0 (Duodecimal)
17.644891 66.669400 (Hemiennealimmal TOP)
17.693754 66.666667 (Hemiennealimmal)
24.583958 99.806172 (Catler TOP)
38.432202 1200.337239 (Slender TOP)
38.441858 2/1 (Slender)
45.170266 1199.083445 (Quartonic TOP)
45.278125 2/1 (Quartonic)
48.276123 109.090909 (Hendecatonic)
48.467056 109.060198 (Hendecatonic TOP)
48.972076 133.333333 (Ennealimmal 7-limit)
49.008820 133.333333 (Ennealimmal 5-limit TOP)
49.023986 133.3373752 (Ennealimmal 7-limit TOP)
52.372763 599.822848 (Shrutar 7-limit TOP)
52.473669 600.0 (Shrutar 7-limit)
52.660207 599.774873 (Shrutar 11-limit TOP)
55.275493 2/1 (Escapade)
55.279251 1199.851676 (Escapade TOP)
71.146064 600.0 (Vishnu)
71.146242 599.974330 (Vishnu TOP)
77.733480 2/1 (Quartaminorthirds)
77.833153 1199.792743 (Valentine TOP)
78.060436 2/1 (Alpha)
78.298472 2/1 (Valentine)
80.088638 238.866863 (Blackwood 7-limit TOP)
80.871670 239.178693 (Blackwood 11-limit TOP)
81.507966 2/1 (Nautilus)
82.974671 1202.659696 (Nautilus TOP)
83.173706 600.0 (Harry)
83.177764 600.142482 (Harry TOP)
83.8305986 239.1786927 (Blacksmith TOP)
84.663787 240.0 (Blackwood 7-limit)
88.057395 1199.031259 (Octacot TOP)
88.067528 2/1 (Octacot)
90.593035 399.020013 (Augene TOP)
91.201856 400.0 (Augmented, Diesic)
91.530950 1199.999148 (Gross TOP)
91.531021 2/1 (Gross)
93.145064 399.020013 (Augmented TOP)
93.6098249 600.888907 (Injera TOP)
94.134357 300.0 (Diminished, Octatonic 5-limit)
94.392453 600.0 (Injera)
96.787939 400.0 (Misty)
96.9442093 399.887155 (Misty TOP)
98.262079 2/1 (Passion)
98.400139 1198.313984 (Passion TOP)
100.902407 2/1 (Ripple)
101.456140 298.532115 (Diminished, Octatonic 7-limit TOP)
101.669634 299.160315 (Diminished, Octatonic 5-limit TOP)
101.992557 1203.324382 (Ripple TOP)
103.787012 599.366202 (Diaschismic 7-limit TOP)
103.8968 600.0 (Diaschismic 13-limit)
104.486038 600.0 (Diaschismic 7-limit)
104.650017 404.751214 (Sharptone TOP)
104.698803 599.555294 (Diaschismic 5-limit TOP)
105.213762 600.0 (Diaschismic 5-limit)
106.566546 598.4467109 (Pajara TOP)
107.311173 399.9922103 (August TOP)
108.856778 599.28675 (Pajaric 11-limit)
110.186196 600.0 (Pajara)
111.875426 2/1 (Vavoom)
111.877976 1200.018552 (Vavoom TOP)
116.515530 2/1 (Miracle LS)
116.715594 2/1 (Miracle minimax)
116.720642 1200.631014 (Miracle TOP)
121.578428 600.0 (Supersharp)
124.841959 1203.187309 (Negri 7-limit TOP)
126.145039 1201.822936 (Negri 5-limit TOP)
126.238270 2/1 (Negri 5-limit)
127.869801 595.799819 (Supersharp TOP)
130.272420 2/1 (Twothirdtonic)
130.327864 1199.635986 (Twothirdtonic TOP)
132.194049 1199.995523 (Astro TOP)
132.194511 2/1 (Astro)
146.475959 1198.591473 (Bohpier TOP)
146.508397 2/1 (Bohpier)
158.146815 1193.415676 (Tweedledee TOP)
158.574015 1199.411231 (Hemikleismic TOP)
158.668197 2/1 (Hemikleismic)
161.100895 1187.933715 (Hystrix TOP)
162.3159606 598.4467109 (Hedgehog TOP)
162.317661 1196.90596 (Porcupine TOP)
162.741892 600.0 (Kwazy)
162.742975 600.002686 (Kwazy TOP)
162.996026 2/1 (Porcupine)
163.146764 599.090477 (Biporcupine TOP)
164.428461 600.0 (Biporcupine)
164.486038 600.0 (Hedgehog)
166.019576 2/1 (Danny)
174.143397 2/1 (Hystrix)
175.664824 2/1 (Subminortone)
176.114790 1199.031259 (Tetracot TOP)
176.282270 2/1 (Tetracot)
182.466089 2/1 (Minortone)
183.042353 600.0 (Unidec, 46&26)
183.199617 600.449773 (Unidec, 46&26 TOP)
185.754179 2/1 (Pirate)
185.754216 1200.000206 (Pirate TOP)
193.196218 1199.981785 (Luna TOP)
193.199615 2/1 (Luna)
193.343545 2/1 (Hemithirds)
193.350549 1200.363229 (Hemithirds TOP)
193.822428 1199.692003 (Hemiwürschmidt TOP)
193.852761 2/1 (Hemiwürschmidt)
208.898991 600.0 (Arrow)
216.770253 600.319786 (Wizard TOP)
216.888141 600.0 (Wizard)
221.567865 2/1 (Fortune)
227.210819 1198.747107 (Hemififths TOP)
227.374349 2/1 (Hemififths)
227.940914 1207.014515 (Gorgo 5-limit TOP)
228.199305 1205.820043 (Gorgo 7-limit TOP)
230.313719 1199.851847 (Gamera TOP)
230.344442 2/1 (Gamera)
230.874926 601.700493 (Lemba 7-limit TOP)
230.907633 601.785732 (Lemba 13-limit TOP)
231.022777 600.0 (Lemba 13-limit)
231.884126 600.0 (Lemba 7-limit)
232.521463 1201.698520 (Cynder, Mothra TOP)
232.551248 2/1 (Cynder, Mothra)
233.282274 2/1 (Slendric)
233.621823 1200.421488 (Slendric TOP)
233.900188 2/1 (Guiron)
233.998391 1200.486331 (Guiron TOP)
234.304878 2/1 (Rodan 7-limit)
234.380469 1200.231587 (Rodan 7-limit TOP)
234.428646 1200.188030 (Rodan 13-limit TOP)
234.482759 2/1 (Rodan 13-limit)
237.243762 600.0 (Decimal 7-limit)
249.018031 1199.997507 (Monzismic TOP)
249.018448 2/1 (Monzismic)
250.611636 603.828899 (Decimal 7-limit TOP)
251.257310 2/1 (Semaphore, Hemifourths, Godzilla)
251.362512 603.906759 (Decimal 11-limit TOP)
252.480358 1203.668841 (Semaphore, Hemifourths, Godzilla TOP)
254.899470 1194.642673 (Beep)
260.256797 2/1 (Bug)
260.352968 2/1 (Keenan 7-limit)
260.760141 1206.548265 (Superpelog TOP)
263.592988 2/1 (Septimin)
263.859423 1200.950404 (Septimin TOP)
266.306424 1206.049627 (Beep TOP)
268.056439 2/1 (Beep)
271.093189 1199.923576 (Quasiorwell 7-limit TOP)
271.113202 2/1 (Quasiorwell 7-limit)
271.385394 2/1 (Orwell 7-limit)
271.493647 1199.532657 (Orwell 7-limit TOP)
271.564129 2/1 (Orwell 5-limit)
271.653629 1200.2395 (Orwell 5-limit TOP)
272.014385 2/1 (Orwell 11-limit)
272.312338 599.276941 (Doublewide TOP)
274.143397 600.0 (Doublewide)
309.892661 1198.828458 (Myna TOP)
309.908880 2/1 (Myna)
315.107607 1199.738066 (Parakleismic TOP)
315.250913 2/1 (Parakleismic)
315.647874 2/1 (Egads)
316.857023 2/1 (Catakleismic, Hanson)
316.906396 1200.536355 (Catakleismic, Hanson 7-limit TOP)
317.069381 1200.291038 (Catakleismic, Hanson 5-limit TOP)
317.079675 2/1 (Keemun)
317.834461 1203.187309 (Keemun TOP)
321.731707 2/1 (Superkleismic)
322.373137 1201.371918 (Superkleismic TOP)
322.801387 2/1 (Senior)
339.198561 2/1 (Amity 11-limit)
339.280648 2/1 (Hitchcock)
339.355813 1199.723894 (Amity 7-limit TOP)
339.417073 2/1 (Amity 7-limit)
339.472087 1199.850693 (Amity 5-limit TOP)
339.508826 2/1 (Amity 5-limit)
339.610306 1200.623603 (Hitchcock TOP)
343.296041 1199.999801 (Raider TOP)
343.296099 2/1 (Raider)
348.702238 2/1 (Vicentino 7-limit)
348.905752 2/1 (Vicentino 11-limit)
351.119103 2/1 (Alhalis 11-limit)
351.158299 1200.221028 (Alhalis TOP)
351.339409 1198.943836 (58&41 TOP)
351.423000 2/1 (58&41)
353.217263 1207.657798 (Dicot TOP)
354.720338 1197.104145 (Beatles TOP)
355.967390 2/1 (Beatles)
358.044743 2/1 (Dicot 5-limit)
377.760758 2/1 (Muggles)
379.393104 1203.148011 (Muggles TOP)
379.967949 2/1 (Magic 5-limit)
380.717645 2/1 (Magic 7-limit)
380.795718 1201.276744 (Magic 7-limit TOP)
385.960601 400.0 (Mutt 7-limit)
385.990261 400.024947 (Mutt 7-limit TOP)
386.015748 400.022981 (Mutt 5-limit TOP)
386.765652 1199.671611 (Grendel TOP)
386.922753 2/1 (Grendel)
387.644855 1199.692003 (Würschmidt TOP)
387.819673 2/1 (Würschmidt)
392.9825 2/1 (Wookie)
419.280 2/1 (Nigerian)
421.383 2/1 (Cameroon)
425.475706 2/1 (Squares)
428.584377 1208.170435 (Sidi TOP)
436.033589 3/1 (Bohlen-Pierce-Stearns)
436.130750 1906.838962 (Bohlen-Pierce-Stearns TOP)
440.889812 1199.028703 (Clyde TOP)
441.330246 2/1 (Clyde)
442.179356 2/1 (Father)
442.361403 2/1 (Semsi)
442.979297 2/1 (Sensi, Semisixths)
442.984268 1199.587953 (Sensi, Semisixths TOP)
443.160293 1198.389531 (Sensi, Semisixths 7-limit TOP)
443.415437 2/1 (Sensi, Semisixths 7-limit)
447.386341 1185.869125 (Father TOP)
464.580421 1199.379215 (Semisept TOP)
464.707335 2/1 (Semisept)
475.411671 1199.274449 (Vulture 7-limit TOP)
475.513748 1199.936913 (Vulture 5-limit TOP)
475.542233 2/1 (Vulture 5-limit)
489.319290 2/1 (Superpythagorean)
489.427183 1197.596121 (Superpythagorean TOP)
495.626159 2/1 (Leapday)
495.775687 1200.114945 (Peppermint TOP)
495.881015 1195.228951 (Dominant Seventh TOP)
497.085365 2/1 (Dominant Seventh)
497.252002 1199.680495 (Kwai TOP)
497.414340 2/1 (Kwai)
497.477289 2/1 (Cassandra 2)
497.891124 1201.533357 (Cassandra 2 TOP)
497.903089 2/1 (Cassandra 1)
498.064040 1200.449663 (Cassandra 1 TOP)
498.082318 2/1 (Counterschismic)
498.119330 1200.760624 (Schismic, Garibaldi TOP)
498.272487 2/1 (Schismic, Garibaldi)
498.278454 1200.065120 (Helmholtz TOP)
502.656281 2/1 (Huygens)
504.023348 1201.611156 (Huygens TOP)
506.347092 2/1 (Flattone)
507.137966 1202.536419 (Flattone TOP)
521.520283 1206.548265 (Mavila TOP)
522.862346 2/1 (Pelogic)
530.163729 1208.959293 (Hexadecimal TOP)
532.941225 1209.734056 (Pelogic TOP)
551.7685 2/1 (Elf)
560.546970 2/1 (Whoosh)
565.977658 1199.975567 (Tricot TOP)
565.988015 2/1 (Tricot)
569.049147 1202.624742 (Liese TOP)
577.314340 1197.945680 (27&29 TOP)
578.600868 2/1 (27&29)
580.570989 2/1 (Tritonic)
580.751919 1201.023211 (Tritonic TOP)
697.564389 1201.69852 (Meantone)
700.43603 1200.58762 (Prodigy)
700.64002 1200.50870 (Marvel 11-limit)
700.67891 1200.49366 (Marvel 7-limit)
701.786666 1200.06512 (Helmholtz TOP)
833.090296 2/1 (Golden)

Manuel

Manuel Op de Coul wrote:
> Below is the list of linear temperaments used in Scala, expanded a bit
> lately. Can anyone tell the mapping of Egads, so I can add the TOP
> tuning, and the mapping of Tritikleismic? I think I have most
> low-complexity ones now. Comments and additions are appreciated. > Names without TOP are the just octave tunings.

Egads appears to be <<51, 52, -36]]. If this is the case, the mapping is something like [<1, x, y], <0, 51, 52]>. With some trial and error, I end up with: [<1, 15, 16], <0, -51, -52]>.

Ah, there's a message from 2/13/2003 that explicitly gives the mapping; I could have saved myself some trouble.

[[1,0] [15,-51] [16,-52]]

This temperament could be identified as 441&1342.

For tritikleismic, from 7/5/2004:

tritikleismic (number 87)
[18, 15, -6, -18, -60, -56]
[[3, 6, 8, 8], [0, -6, -5, 2]]
24 .448679 258.439259