User:Fitzgerald Lee/Tuning Spectra: Difference between revisions
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| (9 intermediate revisions by the same user not shown) | |||
| Line 133: | Line 133: | ||
|} | |} | ||
<nowiki/>* Besides the octave | <nowiki/>* Besides the octave | ||
=== [[Semaphore]], [[49/48]] === | |||
{| class="wikitable center-all left-4" | |||
|- | |||
! Edo <br>generator | |||
! [[Eigenmonzo|Unchanged interval <br>(eigenmonzo)]]* | |||
! Generator (¢) | |||
! Comments | |||
|- | |||
| [[9edo|7\9]] | |||
| | |||
| 933.333 | |||
| | |||
|- | |||
| [[14edo|11\14]] | |||
| | |||
| 942.857 | |||
| | |||
|- | |||
| | |||
| [[9/7]] | |||
| 945.028 | |||
| 2/3-comma | |||
|- | |||
| [[19edo|15\19]] | |||
| | |||
| 947.368 | |||
| | |||
|- | |||
| [[24edo|19\24]] | |||
| | |||
| 950.000 | |||
| | |||
|- | |||
| | |||
| [[3/2]] | |||
| 950.978 | |||
| 1/2-comma | |||
|- | |||
| [[29edo|23\29]] | |||
| | |||
| 951.724 | |||
| | |||
|- | |||
| [[34edo|27\34]] | |||
| | |||
| 952.941 | |||
| | |||
|- | |||
| | |||
| [[21/16]] | |||
| 956.927 | |||
| 1/3-comma | |||
|- | |||
| [[5edo|4\5]] | |||
| | |||
| 960.000 | |||
| | |||
|- | |||
| [[6edo|5\6]] | |||
| | |||
| 1000.000 | |||
| | |||
|} | |||
<nowiki/>* Besides the octave | |||
=== [[Archy]], [[64/63]] === | |||
=== [[Meantone]], [[81/80]] === | === [[Meantone]], [[81/80]] === | ||
| Line 195: | Line 261: | ||
| [[5/3]] | | [[5/3]] | ||
| 694.786 | | 694.786 | ||
| [[1/3-comma meantone|1/3 comma]] | | [[1/3-comma meantone|1/3-comma]] | ||
|- | |- | ||
| [[88edo|51\88]] | | [[88edo|51\88]] | ||
| Line 319: | Line 385: | ||
<nowiki/>* Besides the octave | <nowiki/>* Besides the octave | ||
=== [[Augmented]], [[128/125]] === | === [[Augmented (temperament)|Augmented]], [[128/125]] === | ||
=== [[Mavila]], [[135/128]] === | === [[Mavila]], [[135/128]] === | ||
| Line 332: | Line 398: | ||
| | | | ||
| 600.000 | | 600.000 | ||
| | | Lower bound of 5-odd-limit diamond monotone | ||
|- | |- | ||
| [[11edo|6\11]] | | [[11edo|6\11]] | ||
| Line 372: | Line 438: | ||
| | | | ||
| 685.714 | | 685.714 | ||
| | | Upper bound of 5-odd-limit diamond monotone | ||
|} | |} | ||
<nowiki/>* Besides the octave | <nowiki/>* Besides the octave | ||
| Line 378: | Line 444: | ||
=== [[Porcupine]], [[250/243]] === | === [[Porcupine]], [[250/243]] === | ||
=== [[648/625]] === | === [[Diminished (temperament)|Diminished]], [[648/625]] === | ||
Latest revision as of 02:26, 16 July 2026
Father, 16/15
| Edo generator |
Eigenmonzo (unchanged interval)* |
Generator (¢) | Comments |
|---|---|---|---|
| 1\2 | 600.000 | Lower bound of 5-odd-limit diamond monotone | |
| 3\5 | 720.000 | ||
| 9/5 | 739.199 | 1/3-comma | |
| 5\8 | 750.000 | ||
| 5/3 | 757.821 | 1/2-comma | |
| 2\3 | 800.000 | ↑ Mother Upper bound of 5-odd-limit diamond monotone ↓ 1&3 | |
| 1\1 | 1200.000 |
* Besides the octave
Dicot, 25/24
| Edo generator |
Eigenmonzo (unchanged interval)* |
Generator (¢) | Comments |
|---|---|---|---|
| 1\4 | 300.000 | Lower bound of 5-odd-limit diamond monotone | |
| 2\7 | 342.857 | ↑ Mujannabic ↓ Dichotic | |
| 3/2 | 350.978 | 1/2-comma | |
| 5\17 | 352.941 | ||
| 3\10 | 360.000 | ||
| 15/8 | 362.756 | 1/3-comma | |
| 4\13 | 369.231 | ||
| 1\3 | 400.000 | Upper bound of 5-odd-limit diamond monotone |
* Besides the octave
Bug, 27/25
| Edo generator |
Eigenmonzo (unchanged interval)* |
Generator (¢) | Comments |
|---|---|---|---|
| 3\4 | 900.000 | Lower bound of 5-odd-limit diamond monotone | |
| 5/4 | 928.771 | 1/3-comma | |
| 7\9 | 933.333 | ||
| 11\14 | 942.857 | ||
| 3/2 | 950.978 | 1/2-comma | |
| 4\5 | 960.000 | Upper bound of 5-odd-limit diamond monotone |
* Besides the octave
Semaphore, 49/48
| Edo generator |
Unchanged interval (eigenmonzo)* |
Generator (¢) | Comments |
|---|---|---|---|
| 7\9 | 933.333 | ||
| 11\14 | 942.857 | ||
| 9/7 | 945.028 | 2/3-comma | |
| 15\19 | 947.368 | ||
| 19\24 | 950.000 | ||
| 3/2 | 950.978 | 1/2-comma | |
| 23\29 | 951.724 | ||
| 27\34 | 952.941 | ||
| 21/16 | 956.927 | 1/3-comma | |
| 4\5 | 960.000 | ||
| 5\6 | 1000.000 |
* Besides the octave
Archy, 64/63
Meantone, 81/80
| Edo generator |
Eigenmonzo (unchanged interval)* |
Generator (¢) | Comments |
|---|---|---|---|
| 4\7 | 685.714 | Lower bound of 5-odd-limit diamond monotone | |
| 9/5 | 691.202 | 1/2-comma | |
| 19683/12500 | 692.179 | 5/11-comma | |
| 15\26 | 692.308 | ||
| 2187/1250 | 692.397 | 4/9-comma | |
| 243/125 | 692.738 | 3/7-comma | |
| 26\45 | 693.333 | ||
| 27/25 | 693.352 | 2/5-comma | |
| 125/81 | 693.890 | 3/8-comma | |
| 11\19 | 694.737 | ↑ Flattone ↓ 19&64 | |
| 5/3 | 694.786 | 1/3-comma | |
| 51\88 | 695.455 | ||
| 125/72 | 695.503 | 3/10-comma | |
| 40\69 | 695.652 | ↑ 19&64 ↓ 50&69 | |
| 25/24 | 695.810 | 2/7-comma | |
| 29\50 | 696.000 | ↑ 50&69 ↓ Septimal Meantone | |
| 125/96 | 696.090 | 3/11-comma | |
| 47\81 | 696.296 | ||
| 5/4 | 696.578 | 1/4 comma | |
| 18\31 | 696.774 | ||
| 61\105 | 697.143 | ||
| 75/64 | 697.176 | 2/9-comma | |
| 43\74 | 697.297 | ↑ Septimal Meantone ↓ 74&117 | |
| 68\117 | 697.436 | ↑ 74&117 ↓ 43&117 | |
| 15/8 | 697.654 | 1/5-comma | |
| 25\43 | 697.674 | ↑ 43&117 ↓ 43&55 | |
| 57\98 | 697.959 | ||
| 675/512 | 698.045 | 2/11-comma | |
| 32\55 | 698.182 | ↑ 43&55 ↓ 12&55 | |
| 45/32 | 698.371 | 1/6-comma | |
| 39\67 | 698.507 | ||
| 135/128 | 698.883 | 1/7-comma | |
| 405/256 | 699.267 | 1/8-comma | |
| 7\12 | 700.000 | ↑ 12&55 ↓ Dominant | |
| 3\5 | 720.000 | Upper bound of 5-odd-limit diamond monotone |
* Besides the octave
Augmented, 128/125
Mavila, 135/128
| Edo generator |
Eigenmonzo (unchanged interval)* |
Generator (¢) | Comments |
|---|---|---|---|
| 1\2 | 600.000 | Lower bound of 5-odd-limit diamond monotone | |
| 6\11 | 654.545 | ||
| 15/8 | 655.866 | 1/2-comma | |
| 5\9 | 666.667 | ↑ Pelogic ↓ Armodue | |
| 5/4 | 671.229 | 1/3-comma | |
| 9\16 | 675.000 | ||
| 13\23 | 678.261 | ||
| 5/3 | 678.910 | 1/4-comma | |
| 4\7 | 685.714 | Upper bound of 5-odd-limit diamond monotone |
* Besides the octave