Marvel temperaments: Difference between revisions
moved submajor to buzzardsmic clan |
m →Gracecordial: linking |
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* [[Orwell]] → [[Semicomma family #Orwell|Semicomma family]] (+1728/1715, twelfth sliced in seven) | * [[Orwell]] → [[Semicomma family #Orwell|Semicomma family]] (+1728/1715, twelfth sliced in seven) | ||
* ''[[Snipes]]'' → [[Wesley family #Snipes|Wesley family]] (+6125/5832, two octaves and a fourth sliced in seven) | * ''[[Snipes]]'' → [[Wesley family #Snipes|Wesley family]] (+6125/5832, two octaves and a fourth sliced in seven) | ||
* ''[[Submajor]]'' → [[Buzzardsmic clan #Submajor| | * ''[[Submajor]]'' → [[Buzzardsmic clan #Submajor|Buzzardsmic clan]] (+65536/64827, two octaves and a fourth sliced in eight) | ||
* ''[[Escapist]]'' → [[Escapade family # | * ''[[Escapist]]'' → [[Escapade family #Escapist|Escapade family]] (+65625/65536, fourth sliced in nine) | ||
* ''[[Decic]]'' → [[Cloudy clan #Decic|Cloudy clan]] (+16807/16384, generated by the fifth with a 1/10-octave period) | * ''[[Decic]]'' → [[Cloudy clan #Decic|Cloudy clan]] (+16807/16384, generated by the fifth with a 1/10-octave period) | ||
* ''[[Amavil]]'' → [[Mabila family #Amavil|Mabila family]] (+17496/16807, four octaves and a fourth sliced in ten) | * ''[[Amavil]]'' → [[Mabila family #Amavil|Mabila family]] (+17496/16807, four octaves and a fourth sliced in ten) | ||
* ''[[Betic]]'' → [[Sycamore family #Betic|Sycamore family]] (+1071875/1062882, fifth sliced in eleven) | * ''[[Betic]]'' → [[Sycamore family #Betic|Sycamore family]] (+1071875/1062882, fifth sliced in eleven) | ||
* ''[[Hendeca]]'' → [[11th-octave temperaments #Hendeca|11th-octave temperaments]] (+122880/117649, generated by the fifth with a 1/11-octave period) | |||
* ''[[Compton]]'' → [[Compton family #Compton|Compton family]] (+250047/250000, generated by the classical major third with a 1/12-octave period) | * ''[[Compton]]'' → [[Compton family #Compton|Compton family]] (+250047/250000, generated by the classical major third with a 1/12-octave period) | ||
* ''[[Raccoon]]'' → [[Vavoom family #Raccoon|Vavoom family]] (+41943040/40353607, twelfth sliced in seventeen) | * ''[[Raccoon]]'' → [[Vavoom family #Raccoon|Vavoom family]] (+41943040/40353607, twelfth sliced in seventeen) | ||
| Line 53: | Line 54: | ||
: mapping generators: ~1225/864, ~245/216 | : mapping generators: ~1225/864, ~245/216 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
| Line 187: | Line 186: | ||
== Tritonic == | == Tritonic == | ||
: ''For the 5-limit version of this temperament, see [[ | : ''For the 5-limit version of this temperament, see [[Miscellaneous 5-limit temperaments #Tritonic]].'' | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
| Line 195: | Line 194: | ||
{{Mapping|legend=1| 1 4 -3 -3 | 0 -5 11 12 }} | {{Mapping|legend=1| 1 4 -3 -3 | 0 -5 11 12 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~7/5 = 580.286 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 29, 31, 60, 91, 122, 213bcd }} | {{Optimal ET sequence|legend=1| 29, 31, 60, 91, 122, 213bcd }} | ||
| Line 210: | Line 207: | ||
Mapping: {{mapping| 1 4 -3 -3 2 | 0 -5 11 12 3 }} | Mapping: {{mapping| 1 4 -3 -3 2 | 0 -5 11 12 3 }} | ||
Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 580.267 | |||
Optimal tuning (POTE): ~2 = | |||
{{Optimal ET sequence|legend=1| 29, 31, 60e }} | {{Optimal ET sequence|legend=1| 29, 31, 60e }} | ||
| Line 225: | Line 220: | ||
Mapping: {{mapping| 1 4 -3 -3 2 -5 | 0 -5 11 12 3 18 }} | Mapping: {{mapping| 1 4 -3 -3 2 -5 | 0 -5 11 12 3 18 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 580.108 | ||
{{Optimal ET sequence|legend=1| 29, 31, 60e }} | {{Optimal ET sequence|legend=1| 29, 31, 60e }} | ||
| Line 238: | Line 233: | ||
Mapping: {{mapping| 1 4 -3 -3 2 -5 -8 | 0 -5 11 12 3 18 25 }} | Mapping: {{mapping| 1 4 -3 -3 2 -5 -8 | 0 -5 11 12 3 18 25 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 580.055 | ||
{{Optimal ET sequence|legend=1| 29g, 31, 60e }} | {{Optimal ET sequence|legend=1| 29g, 31, 60e }} | ||
Badness: | Badness: 0.019093 | ||
==== 19-limit ==== | ==== 19-limit ==== | ||
| Line 251: | Line 246: | ||
Mapping: {{mapping| 1 4 -3 -3 2 -5 -8 -3 | 0 -5 11 12 3 18 25 15 }} | Mapping: {{mapping| 1 4 -3 -3 2 -5 -8 -3 | 0 -5 11 12 3 18 25 15 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 580.026 | ||
{{Optimal ET sequence|legend=1| 29g, 31, 60e }} | {{Optimal ET sequence|legend=1| 29g, 31, 60e }} | ||
Badness: | Badness: 0.017010 | ||
==== 23-limit ==== | ==== 23-limit ==== | ||
| Line 264: | Line 259: | ||
Mapping: {{mapping| 1 4 -3 -3 2 -5 -8 -3 5 | 0 -5 11 12 3 18 25 15 -1 }} | Mapping: {{mapping| 1 4 -3 -3 2 -5 -8 -3 5 | 0 -5 11 12 3 18 25 15 -1 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 580.009 | ||
{{Optimal ET sequence|legend=1| 29g, 31, 60e }} | {{Optimal ET sequence|legend=1| 29g, 31, 60e }} | ||
Badness: | Badness: 0.014471 | ||
=== Tritoni === | === Tritoni === | ||
| Line 277: | Line 272: | ||
Mapping: {{mapping| 1 4 -3 -3 17 | 0 -5 11 12 -28 }} | Mapping: {{mapping| 1 4 -3 -3 17 | 0 -5 11 12 -28 }} | ||
Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 580.389 | |||
Optimal tuning (POTE): ~2 = | |||
{{Optimal ET sequence|legend=1| 31, 91, 122, 153d }} | {{Optimal ET sequence|legend=1| 31, 91, 122, 153d }} | ||
| Line 286: | Line 279: | ||
== Septimin == | == Septimin == | ||
: ''For the 5-limit version of this temperament, see [[ | : ''For the 5-limit version of this temperament, see [[Miscellaneous 5-limit temperaments #Septimin]].'' | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
| Line 294: | Line 287: | ||
{{Mapping|legend=1| 1 4 1 5 | 0 -11 6 -10 }} | {{Mapping|legend=1| 1 4 1 5 | 0 -11 6 -10 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~7/6 = 263.632 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 41, 91, 132d }} | {{Optimal ET sequence|legend=1| 41, 91, 132d }} | ||
| Line 309: | Line 300: | ||
Mapping: {{mapping| 1 4 1 5 5 | 0 -11 6 -10 -7 }} | Mapping: {{mapping| 1 4 1 5 5 | 0 -11 6 -10 -7 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/6 = 263.634 | ||
{{Optimal ET sequence|legend=1| 41, 91, 223cdef }} | {{Optimal ET sequence|legend=1| 41, 91, 223cdef }} | ||
| Line 322: | Line 313: | ||
Mapping: {{mapping| 1 4 1 5 5 7 | 0 -11 6 -10 -7 -15 }} | Mapping: {{mapping| 1 4 1 5 5 7 | 0 -11 6 -10 -7 -15 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/6 = 263.700 | ||
{{Optimal ET sequence|legend=1| 41, 91 }} | {{Optimal ET sequence|legend=1| 41, 91 }} | ||
| Line 329: | Line 320: | ||
== Merman == | == Merman == | ||
: ''For the 5-limit version of this temperament, see [[ | : ''For the 5-limit version of this temperament, see [[Miscellaneous 5-limit temperaments #Merman]].'' | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
| Line 337: | Line 328: | ||
{{Mapping|legend=1| 1 5 -5 -5 | 0 -7 15 16 }} | {{Mapping|legend=1| 1 5 -5 -5 | 0 -7 15 16 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~7/5 = 585.585 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 41, 84, 125 }} | {{Optimal ET sequence|legend=1| 41, 84, 125 }} | ||
| Line 352: | Line 341: | ||
Mapping: {{mapping| 1 5 -5 -5 2 | 0 -7 15 16 3 }} | Mapping: {{mapping| 1 5 -5 -5 2 | 0 -7 15 16 3 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 585.606 | ||
{{Optimal ET sequence|legend=1| 41, 84, 125e }} | {{Optimal ET sequence|legend=1| 41, 84, 125e }} | ||
| Line 365: | Line 354: | ||
Mapping: {{mapping| 1 5 -5 -5 2 12 | 0 -7 15 16 3 -17 }} | Mapping: {{mapping| 1 5 -5 -5 2 12 | 0 -7 15 16 3 -17 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 585.657 | ||
{{Optimal ET sequence|legend=1| 41, 84, 125e, 209ef, 293ef }} | {{Optimal ET sequence|legend=1| 41, 84, 125e, 209ef, 293ef }} | ||
| Line 380: | Line 369: | ||
{{Mapping|legend=1| 1 2 2 3 | 0 -13 10 -6 }} | {{Mapping|legend=1| 1 2 2 3 | 0 -13 10 -6 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~49/48 = 38.413 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 31, 94, 125 }} | {{Optimal ET sequence|legend=1| 31, 94, 125 }} | ||
| Line 395: | Line 382: | ||
Mapping: {{mapping| 1 2 2 3 4 | 0 -13 10 -6 -17 }} | Mapping: {{mapping| 1 2 2 3 4 | 0 -13 10 -6 -17 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~49/48 = 38.387 | ||
{{Optimal ET sequence|legend=1| 31, 63, 94, 125 }} | {{Optimal ET sequence|legend=1| 31, 63, 94, 125 }} | ||
| Line 408: | Line 395: | ||
Mapping: {{mapping| 1 2 2 3 4 3 | 0 -13 10 -6 -17 22 }} | Mapping: {{mapping| 1 2 2 3 4 3 | 0 -13 10 -6 -17 22 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~49/48 = 38.314 | ||
{{Optimal ET sequence|legend=1| 31, 63, 94 }} | {{Optimal ET sequence|legend=1| 31, 63, 94 }} | ||
| Line 415: | Line 402: | ||
== Triton == | == Triton == | ||
: ''For the 5-limit version of this temperament, see [[ | : ''For the 5-limit version of this temperament, see [[Miscellaneous 5-limit temperaments #Stump]].'' | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
| Line 423: | Line 410: | ||
{{Mapping|legend=1| 1 0 6 7 | 0 3 -7 -8 }} | {{Mapping|legend=1| 1 0 6 7 | 0 3 -7 -8 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~7/5 = 568.865 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 2, 17d, 19, 78bd, 97bd }} | {{Optimal ET sequence|legend=1| 2, 17d, 19, 78bd, 97bd }} | ||
| Line 438: | Line 423: | ||
Mapping: {{mapping| 1 0 6 7 4 | 0 3 -7 -8 -1 }} | Mapping: {{mapping| 1 0 6 7 4 | 0 3 -7 -8 -1 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 569.144 | ||
{{Optimal ET sequence|legend=1| 2, 17d, 19, 59bde, 78bde, 97bde }} | {{Optimal ET sequence|legend=1| 2, 17d, 19, 59bde, 78bde, 97bde }} | ||
| Line 451: | Line 436: | ||
{{Mapping|legend=1| 1 2 1 1 | 0 -6 19 26 }} | {{Mapping|legend=1| 1 2 1 1 | 0 -6 19 26 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~21/20 = 83.348 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 29, 43, 72, 619bcd, 691bcd }} | {{Optimal ET sequence|legend=1| 29, 43, 72, 619bcd, 691bcd }} | ||
| Line 466: | Line 449: | ||
Mapping: {{mapping| 1 2 1 1 2 | 0 -6 19 26 21 }} | Mapping: {{mapping| 1 2 1 1 2 | 0 -6 19 26 21 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~21/20 = 83.340 | ||
{{Optimal ET sequence|legend=1| 29, 43, 72 }} | {{Optimal ET sequence|legend=1| 29, 43, 72 }} | ||
| Line 479: | Line 462: | ||
Mapping: {{mapping| 1 2 1 1 2 3 | 0 -6 19 26 21 10 }} | Mapping: {{mapping| 1 2 1 1 2 3 | 0 -6 19 26 21 10 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~21/20 = 83.330 | ||
{{Optimal ET sequence|legend=1| 29, 43, 72, 115f }} | {{Optimal ET sequence|legend=1| 29, 43, 72, 115f }} | ||
| Line 492: | Line 475: | ||
Mapping: {{mapping| 1 2 1 1 2 3 2 | 0 -6 19 26 21 10 30 }} | Mapping: {{mapping| 1 2 1 1 2 3 2 | 0 -6 19 26 21 10 30 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~21/20 = 83.330 | ||
{{Optimal ET sequence|legend=1| 29g, 43, 72 }} | {{Optimal ET sequence|legend=1| 29g, 43, 72 }} | ||
Badness: 0.014924 | |||
=== 19-limit === | === 19-limit === | ||
| Line 503: | Line 488: | ||
Mapping: {{mapping| 1 2 1 1 2 3 2 3 | 0 -6 19 26 21 10 30 18 }} | Mapping: {{mapping| 1 2 1 1 2 3 2 3 | 0 -6 19 26 21 10 30 18 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~21/20 = 83.330 | ||
{{Optimal ET sequence|legend=1| 29g, 43, 72 }} | {{Optimal ET sequence|legend=1| 29g, 43, 72 }} | ||
Badness: 0.014722 | |||
== Enneaportent == | == Enneaportent == | ||
| Line 514: | Line 501: | ||
{{Mapping|legend=1| 9 0 28 11 | 0 2 -1 2 }} | {{Mapping|legend=1| 9 0 28 11 | 0 2 -1 2 }} | ||
: | : Mapping generators: ~2592/2401, ~12005/6912 | ||
[[Optimal tuning]] ([[POTE]]): ~2592/2401 = 133.3333, ~12005/6912 = 950.1680 (~1728/1715 = 16.8347) | |||
[[Optimal tuning]] ([[POTE]]): ~2592/2401 = | |||
{{Optimal ET sequence|legend=1| 9, 63, 72, 495bcd }} | {{Optimal ET sequence|legend=1| 9, 63, 72, 495bcd }} | ||
| Line 531: | Line 516: | ||
Mapping: {{mapping| 9 0 28 11 24 | 0 2 -1 2 1 }} | Mapping: {{mapping| 9 0 28 11 24 | 0 2 -1 2 1 }} | ||
Optimal tuning (POTE): ~121/112 = | Optimal tuning (POTE): ~121/112 = 133.3333, ~210/121 = 950.1873 (~99/98 = 16.8540) | ||
{{Optimal ET sequence|legend=1| 9, 63, 72, 423cd, 495bcd }} | {{Optimal ET sequence|legend=1| 9, 63, 72, 423cd, 495bcd }} | ||
| Line 544: | Line 529: | ||
Mapping: {{mapping| 9 0 28 11 24 19 | 0 2 -1 2 1 2 }} | Mapping: {{mapping| 9 0 28 11 24 19 | 0 2 -1 2 1 2 }} | ||
Optimal tuning (POTE): ~14/13 = | Optimal tuning (POTE): ~14/13 = 133.3333, ~26/15 = 950.2867 (~105/104 = 16.9534) | ||
{{Optimal ET sequence|legend=1| 9, 63, 72, 279cf }} | {{Optimal ET sequence|legend=1| 9, 63, 72, 279cf }} | ||
| Line 551: | Line 536: | ||
== Gracecordial == | == Gracecordial == | ||
: ''For the 5-limit version of this temperament, see [[ | : ''For the 5-limit version of this temperament, see [[Schismic–Pythagorean equivalence continuum #Gracecordial]].'' | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
| Line 559: | Line 544: | ||
{{Mapping|legend=1| 1 0 34 63 | 0 1 -20 -38 }} | {{Mapping|legend=1| 1 0 34 63 | 0 1 -20 -38 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~3/2 = 700.824 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 12, 113, 125, 238c, 363c }} | {{Optimal ET sequence|legend=1| 12, 113, 125, 238c, 363c }} | ||
| Line 574: | Line 557: | ||
Mapping: {{mapping| 1 0 34 63 -90 | 0 1 -20 -38 59 }} | Mapping: {{mapping| 1 0 34 63 -90 | 0 1 -20 -38 59 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.834 | ||
{{Optimal ET sequence|legend=1| 12e, 101cde, 113, 125, 238c }} | {{Optimal ET sequence|legend=1| 12e, 101cde, 113, 125, 238c }} | ||
| Line 587: | Line 570: | ||
Mapping: {{mapping| 1 0 34 63 -90 -66 | 0 1 -20 -38 59 44 }} | Mapping: {{mapping| 1 0 34 63 -90 -66 | 0 1 -20 -38 59 44 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.841 | ||
{{Optimal ET sequence|legend=1| 12e, 101cde, 113, 125f, 238cf }} | {{Optimal ET sequence|legend=1| 12e, 101cde, 113, 125f, 238cf }} | ||
| Line 600: | Line 583: | ||
Mapping: {{mapping| 1 0 34 63 -90 -66 -7 | 0 1 -20 -38 59 44 7 }} | Mapping: {{mapping| 1 0 34 63 -90 -66 -7 | 0 1 -20 -38 59 44 7 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.841 | ||
{{Optimal ET sequence|legend=1| 12e, 101cde, 113, 125f, 238cf }} | {{Optimal ET sequence|legend=1| 12e, 101cde, 113, 125f, 238cf }} | ||
| Line 613: | Line 596: | ||
Mapping: {{mapping| 1 0 34 63 -90 -66 -7 9 | 0 1 -20 -38 59 44 7 -3 }} | Mapping: {{mapping| 1 0 34 63 -90 -66 -7 9 | 0 1 -20 -38 59 44 7 -3 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.842 | ||
{{Optimal ET sequence|legend=1| 12e, 101cde, 113, 125f, 238cf }} | {{Optimal ET sequence|legend=1| 12e, 101cde, 113, 125f, 238cf }} | ||
| Line 626: | Line 609: | ||
Mapping: {{mapping| 1 0 34 63 -90 -66 -7 9 -43 | 0 1 -20 -38 59 44 7 -3 30 }} | Mapping: {{mapping| 1 0 34 63 -90 -66 -7 9 -43 | 0 1 -20 -38 59 44 7 -3 30 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.843 | ||
{{Optimal ET sequence|legend=1| 12e, 101cde, 113, 238cfi }} | {{Optimal ET sequence|legend=1| 12e, 101cde, 113, 238cfi }} | ||
| Line 639: | Line 622: | ||
Mapping: {{mapping| 1 0 34 63 -90 -66 -7 9 -43 -49 | 0 1 -20 -38 59 44 7 -3 30 34 }} | Mapping: {{mapping| 1 0 34 63 -90 -66 -7 9 -43 -49 | 0 1 -20 -38 59 44 7 -3 30 34 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.842 | ||
{{Optimal ET sequence|legend=1| 12e, 101cde, 113, 125f, 238cfi }} | {{Optimal ET sequence|legend=1| 12e, 101cde, 113, 125f, 238cfi }} | ||
| Line 652: | Line 635: | ||
Mapping: {{mapping| 1 0 34 63 -90 -66 -7 9 -43 -49 -79 | 0 1 -20 -38 59 44 7 -3 30 34 53 }} | Mapping: {{mapping| 1 0 34 63 -90 -66 -7 9 -43 -49 -79 | 0 1 -20 -38 59 44 7 -3 30 34 53 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.838 | ||
{{Optimal ET sequence|legend=1| 12e, 101cdek, 113, 125f, 238cfi }} | {{Optimal ET sequence|legend=1| 12e, 101cdek, 113, 125f, 238cfi }} | ||
| Line 665: | Line 648: | ||
Mapping: {{mapping| 1 0 34 63 89 | 0 1 -20 -38 -54 }} | Mapping: {{mapping| 1 0 34 63 89 | 0 1 -20 -38 -54 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.885 | ||
{{Optimal ET sequence|legend=1| 12, 101cd, 113 }} | {{Optimal ET sequence|legend=1| 12, 101cd, 113 }} | ||
| Line 678: | Line 661: | ||
Mapping: {{mapping| 1 0 34 63 89 113 | 0 1 -20 -38 -54 -69 }} | Mapping: {{mapping| 1 0 34 63 89 113 | 0 1 -20 -38 -54 -69 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.890 | ||
{{Optimal ET sequence|legend=1| 12f, 101cdf, 113 }} | {{Optimal ET sequence|legend=1| 12f, 101cdf, 113 }} | ||
| Line 691: | Line 674: | ||
Mapping: {{mapping| 1 0 34 63 89 113 -7 | 0 1 -20 -38 -54 -69 7 }} | Mapping: {{mapping| 1 0 34 63 89 113 -7 | 0 1 -20 -38 -54 -69 7 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.870 | ||
{{Optimal ET sequence|legend=1| 12f, 101cdf, 113 }} | {{Optimal ET sequence|legend=1| 12f, 101cdf, 113 }} | ||
| Line 704: | Line 687: | ||
Mapping: {{mapping| 1 0 34 63 89 113 -7 9 | 0 1 -20 -38 -54 -69 7 -3 }} | Mapping: {{mapping| 1 0 34 63 89 113 -7 9 | 0 1 -20 -38 -54 -69 7 -3 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~3/2 = 700.866 | ||
{{Optimal ET sequence|legend=1| 12f, 101cdf, 113 }} | {{Optimal ET sequence|legend=1| 12f, 101cdf, 113 }} | ||
| Line 717: | Line 700: | ||
{{Mapping|legend=1| 1 9 0 13 | 0 -16 5 -22 }} | {{Mapping|legend=1| 1 9 0 13 | 0 -16 5 -22 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~48/35 = 556.221 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 28d, 41, 151cd, 192cd, 233cd }} | {{Optimal ET sequence|legend=1| 28d, 41, 151cd, 192cd, 233cd }} | ||
| Line 732: | Line 713: | ||
Mapping: {{mapping| 1 9 0 13 3 | 0 -16 5 -22 1 }} | Mapping: {{mapping| 1 9 0 13 3 | 0 -16 5 -22 1 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~11/8 = 556.144 | ||
{{Optimal ET sequence|legend=1| 28d, 41, 315cde }} | {{Optimal ET sequence|legend=1| 28d, 41, 315cde }} | ||
| Line 739: | Line 720: | ||
== Misneb == | == Misneb == | ||
: ''For the 5-limit version of this temperament, see [[ | : ''For the 5-limit version of this temperament, see [[Miscellaneous 5-limit temperaments #Misneb]].'' | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
| Line 747: | Line 728: | ||
{{Mapping|legend=1| 1 3 1 3 | 0 -15 14 -2 }} | {{Mapping|legend=1| 1 3 1 3 | 0 -15 14 -2 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~16/15 = 113.235 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 21, 32, 53 }} | {{Optimal ET sequence|legend=1| 21, 32, 53 }} | ||
| Line 762: | Line 741: | ||
Mapping: {{mapping| 1 3 1 3 1 | 0 -15 14 -2 26 }} | Mapping: {{mapping| 1 3 1 3 1 | 0 -15 14 -2 26 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~16/15 = 113.323 | ||
{{Optimal ET sequence|legend=1| 21, 32e, 53, 127, 180de }} | {{Optimal ET sequence|legend=1| 21, 32e, 53, 127, 180de }} | ||
| Line 775: | Line 754: | ||
Mapping: {{mapping| 1 3 1 3 1 2 | 0 -15 14 -2 26 18 }} | Mapping: {{mapping| 1 3 1 3 1 2 | 0 -15 14 -2 26 18 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~16/15 = 113.323 | ||
{{Optimal ET sequence|legend=1| 21, 32e, 53, 127, 180de }} | {{Optimal ET sequence|legend=1| 21, 32e, 53, 127, 180de }} | ||
| Line 788: | Line 767: | ||
Mapping: {{mapping| 1 3 1 3 6 | 0 -15 14 -2 -27 }} | Mapping: {{mapping| 1 3 1 3 6 | 0 -15 14 -2 -27 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~16/15 = 113.142 | ||
{{Optimal ET sequence|legend=1| 32, 53, 191de, 244cddee, 297cddee }} | {{Optimal ET sequence|legend=1| 32, 53, 191de, 244cddee, 297cddee }} | ||
| Line 795: | Line 774: | ||
== Untriton == | == Untriton == | ||
: ''For the 5-limit version of this temperament, see [[ | : ''For the 5-limit version of this temperament, see [[Miscellaneous 5-limit temperaments #Untriton]].'' | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
| Line 803: | Line 782: | ||
{{Mapping|legend=1| 1 6 -7 -7 | 0 -9 19 20 }} | {{Mapping|legend=1| 1 6 -7 -7 | 0 -9 19 20 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~7/5 = 588.641 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 51, 53, 316cd, 369cdd, 422cdd }} | {{Optimal ET sequence|legend=1| 51, 53, 316cd, 369cdd, 422cdd }} | ||
| Line 818: | Line 795: | ||
Mapping: {{mapping| 1 6 -7 -7 1 | 0 -9 19 20 5 }} | Mapping: {{mapping| 1 6 -7 -7 1 | 0 -9 19 20 5 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 588.626 | ||
{{Optimal ET sequence|legend=1| 51, 53 }} | {{Optimal ET sequence|legend=1| 51, 53 }} | ||
| Line 831: | Line 808: | ||
Mapping: {{mapping| 1 6 -7 -7 1 -12 | 0 -9 19 20 5 32 }} | Mapping: {{mapping| 1 6 -7 -7 1 -12 | 0 -9 19 20 5 32 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~7/5 = 588.654 | ||
{{Optimal ET sequence|legend=1| 51f, 53 }} | {{Optimal ET sequence|legend=1| 51f, 53 }} | ||
| Line 844: | Line 821: | ||
{{Mapping|legend=1| 1 1 5 7 | 0 5 -23 -36 }} | {{Mapping|legend=1| 1 1 5 7 | 0 5 -23 -36 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000, ~10000/9261 = 139.838 | |||
[[Optimal tuning]] ([[POTE]]): ~2 = | |||
{{Optimal ET sequence|legend=1| 43, 60, 103, 266bcd, 369bcd }} | {{Optimal ET sequence|legend=1| 43, 60, 103, 266bcd, 369bcd }} | ||
| Line 859: | Line 834: | ||
Mapping: {{mapping| 1 1 5 7 8 | 0 5 -23 -36 -39 }} | Mapping: {{mapping| 1 1 5 7 8 | 0 5 -23 -36 -39 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~320/297 = 139.827 | ||
{{Optimal ET sequence|legend=1| 43, 60e, 103 }} | {{Optimal ET sequence|legend=1| 43, 60e, 103 }} | ||
| Line 872: | Line 847: | ||
Mapping: {{mapping| 1 1 5 7 8 3 | 0 5 -23 -36 -39 6 }} | Mapping: {{mapping| 1 1 5 7 8 3 | 0 5 -23 -36 -39 6 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~13/12 = 139.812 | ||
{{Optimal ET sequence|legend=1| 43, 60e, 103 }} | {{Optimal ET sequence|legend=1| 43, 60e, 103 }} | ||
| Line 885: | Line 860: | ||
Mapping: {{mapping| 1 1 5 7 8 3 7 | 0 5 -23 -36 -39 6 -25 }} | Mapping: {{mapping| 1 1 5 7 8 3 7 | 0 5 -23 -36 -39 6 -25 }} | ||
Optimal tuning (POTE): ~2 = | Optimal tuning (POTE): ~2 = 1200.000, ~13/12 = 139.815 | ||
{{Optimal ET sequence|legend=1| 43, 60e, 103 }} | {{Optimal ET sequence|legend=1| 43, 60e, 103 }} | ||
| Line 900: | Line 875: | ||
{{Mapping|legend=1| 2 1 6 4 | 0 8 -5 6 }} | {{Mapping|legend=1| 2 1 6 4 | 0 8 -5 6 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2401/1728 = 600.000, ~35/32 = 162.658 | |||
[[Optimal tuning]] ([[POTE]]): ~2401/1728 = | |||
{{Optimal ET sequence|legend=1| 22, 74, 96, 118d }} | {{Optimal ET sequence|legend=1| 22, 74, 96, 118d }} | ||
| Line 915: | Line 888: | ||
Mapping: {{mapping| 2 1 6 4 8 | 0 8 -5 6 -4 }} | Mapping: {{mapping| 2 1 6 4 8 | 0 8 -5 6 -4 }} | ||
Optimal tuning (POTE): ~363/256 = | Optimal tuning (POTE): ~363/256 = 600.000, ~11/10 = 162.592 | ||
{{Optimal ET sequence|legend=1| 22, 74, 96, 118d }} | {{Optimal ET sequence|legend=1| 22, 74, 96, 118d }} | ||
| Line 922: | Line 895: | ||
== Tertiosec == | == Tertiosec == | ||
: ''For the 5-limit version of this temperament, see [[ | : ''For the 5-limit version of this temperament, see [[Miscellaneous 5-limit temperaments #Tertiosec]].'' | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
| Line 930: | Line 903: | ||
{{Mapping|legend=1| 3 7 5 9 | 0 -8 7 -2 }} | {{Mapping|legend=1| 3 7 5 9 | 0 -8 7 -2 }} | ||
[[Optimal tuning]] ([[POTE]]): ~3072/2401 = 400.000, ~15/14 = 112.283 | |||
[[Optimal tuning]] ([[POTE]]): ~3072/2401 = | |||
{{Optimal ET sequence|legend=1| 21, 54, 75, 96, 171d }} | {{Optimal ET sequence|legend=1| 21, 54, 75, 96, 171d }} | ||
| Line 945: | Line 916: | ||
Mapping: {{mapping| 3 7 5 9 9 | 0 -8 7 -2 5 }} | Mapping: {{mapping| 3 7 5 9 9 | 0 -8 7 -2 5 }} | ||
Optimal tuning (POTE): ~44/35 = | Optimal tuning (POTE): ~44/35 = 400.000, ~15/14 = 112.171 | ||
{{Optimal ET sequence|legend=1| 21, 54, 75e }} | {{Optimal ET sequence|legend=1| 21, 54, 75e }} | ||
| Line 952: | Line 923: | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Marvel temperaments| ]] <!-- main article --> | [[Category:Marvel temperaments| ]] <!-- main article --> | ||
[[Category:Marvel| ]] <!-- key article --> | [[Category:Marvel| ]] <!-- key article --> | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||