User:Fitzgerald Lee/Tuning Spectra: Difference between revisions
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| (17 intermediate revisions by the same user not shown) | |||
| Line 11: | Line 11: | ||
| 600.000 | | 600.000 | ||
| Lower bound of 5-odd-limit diamond monotone | | Lower bound of 5-odd-limit diamond monotone | ||
|- | |- | ||
| [[5edo|3\5]] | | [[5edo|3\5]] | ||
| Line 45: | Line 40: | ||
| | | | ||
| 800.000 | | 800.000 | ||
| Upper bound of 5-odd-limit diamond monotone | | ↑ Mother<br>Upper bound of 5-odd-limit diamond monotone<br>↓ 1&3 | ||
|- | |||
| [[1edo|1\1]] | |||
| | |||
| 1200.000 | |||
| | |||
|} | |} | ||
<nowiki/>* Besides the octave | <nowiki/>* Besides the octave | ||
| Line 61: | Line 61: | ||
| 300.000 | | 300.000 | ||
| Lower bound of 5-odd-limit diamond monotone | | Lower bound of 5-odd-limit diamond monotone | ||
|- | |- | ||
| | | | ||
| Line 75: | Line 70: | ||
| | | | ||
| 342.857 | | 342.857 | ||
| | | ↑ Mujannabic<br>↓ Dichotic | ||
|- | |- | ||
| | | | ||
| Line 91: | Line 81: | ||
| 352.941 | | 352.941 | ||
| | | | ||
|- | |- | ||
| [[10edo|3\10]] | | [[10edo|3\10]] | ||
| Line 106: | Line 91: | ||
| 362.756 | | 362.756 | ||
| 1/3-comma | | 1/3-comma | ||
|- | |- | ||
| [[13edo|4\13]] | | [[13edo|4\13]] | ||
| Line 116: | Line 96: | ||
| 369.231 | | 369.231 | ||
| | | | ||
|- | |- | ||
| [[3edo|1\3]] | | [[3edo|1\3]] | ||
| Line 140: | Line 115: | ||
| | | | ||
| 900.000 | | 900.000 | ||
| | | Lower bound of 5-odd-limit diamond monotone | ||
|- | |- | ||
| | | | ||
| Line 156: | Line 126: | ||
| 933.333 | | 933.333 | ||
| | | | ||
|- | |- | ||
| [[14edo|11\14]] | | [[14edo|11\14]] | ||
| Line 175: | Line 140: | ||
| | | | ||
| 960.000 | | 960.000 | ||
| | | Upper bound of 5-odd-limit diamond monotone | ||
|} | |} | ||
<nowiki/>* Besides the octave | <nowiki/>* Besides the octave | ||
=== [[81/80]] === | === [[81/80]] === | ||
{| class="wikitable center-all left-4" | {| class="wikitable center-all left-4" | ||
| Line 205: | Line 161: | ||
| 691.202 | | 691.202 | ||
| [[1/2-comma meantone|1/2-comma]] | | [[1/2-comma meantone|1/2-comma]] | ||
|- | |||
| | |||
| [[19683/12500]] | |||
| 692.179 | |||
| [[5/11-comma meantone|5/11-comma]] | |||
|- | |- | ||
| [[26edo|15\26]] | | [[26edo|15\26]] | ||
| Line 210: | Line 171: | ||
| 692.308 | | 692.308 | ||
| | | | ||
|- | |||
| | |||
| [[2187/1250]] | |||
| 692.397 | |||
| [[4/9-comma meantone|4/9-comma]] | |||
|- | |||
| | |||
| [[243/125]] | |||
| 692.738 | |||
| [[3/7-comma meantone|3/7-comma]] | |||
|- | |- | ||
| [[45edo|26\45]] | | [[45edo|26\45]] | ||
| Line 220: | Line 191: | ||
| 693.352 | | 693.352 | ||
| [[2/5-comma meantone|2/5-comma]] | | [[2/5-comma meantone|2/5-comma]] | ||
|- | |||
| | |||
| [[125/81]] | |||
| 693.890 | |||
| [[3/8-comma meantone|3/8-comma]] | |||
|- | |- | ||
| [[19edo|11\19]] | | [[19edo|11\19]] | ||
| | | | ||
| 694.737 | | 694.737 | ||
| | | ↑ Flattone<br>↓ 19&64 | ||
|- | |- | ||
| | | | ||
| Line 235: | Line 211: | ||
| 695.455 | | 695.455 | ||
| | | | ||
|- | |||
| | |||
| [[125/72]] | |||
| 695.503 | |||
| [[3/10-comma meantone|3/10-comma]] | |||
|- | |- | ||
| [[69edo|40\69]] | | [[69edo|40\69]] | ||
| | | | ||
| 695.652 | | 695.652 | ||
| | | ↑ 19&64<br>↓ 50&69 | ||
|- | |- | ||
| | | | ||
| Line 249: | Line 230: | ||
| | | | ||
| 696.000 | | 696.000 | ||
| ↑ 50&69<br>↓ Septimal Meantone | |||
|- | |||
| | | | ||
| [[125/96]] | |||
| 696.090 | |||
| [[3/11-comma meantone|3/11-comma]] | |||
|- | |- | ||
| [[81edo|47\81]] | | [[81edo|47\81]] | ||
| Line 279: | Line 265: | ||
| | | | ||
| 697.297 | | 697.297 | ||
| | | ↑ Septimal Meantone<br>↓ 74&117 | ||
|- | |- | ||
| [[117edo|68\117]] | | [[117edo|68\117]] | ||
| | | | ||
| 697.436 | | 697.436 | ||
| | | ↑ 74&117<br>↓ 43&117 | ||
|- | |- | ||
| | | | ||
| Line 294: | Line 280: | ||
| | | | ||
| 697.674 | | 697.674 | ||
| | | ↑ 43&117<br>↓ 43&55 | ||
|- | |- | ||
| [[98edo|57\98]] | | [[98edo|57\98]] | ||
| Line 300: | Line 286: | ||
| 697.959 | | 697.959 | ||
| | | | ||
|- | |||
| | |||
| [[675/512]] | |||
| 698.045 | |||
| [[2/11-comma meantone|2/11-comma]] | |||
|- | |- | ||
| [[55edo|32\55]] | | [[55edo|32\55]] | ||
| | | | ||
| 698.182 | | 698.182 | ||
| | | ↑ 43&55<br>↓ 12&55 | ||
|- | |- | ||
| | | | ||
| Line 324: | Line 315: | ||
| | | | ||
| 700.000 | | 700.000 | ||
| | | ↑ 12&55<br>↓ Dominant | ||
|- | |- | ||
| [[5edo|3\5]] | | [[5edo|3\5]] | ||
Latest revision as of 09:21, 15 July 2026
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 | |
| 25/24 | 776.443 | 2/3-comma | |
| 2\3 | 800.000 | ↑ Mother Upper bound of 5-odd-limit diamond monotone ↓ 1&3 | |
| 1\1 | 1200.000 |
* Besides the octave
25/24
| Edo generator |
Eigenmonzo (unchanged interval)* |
Generator (¢) | Comments |
|---|---|---|---|
| 1\4 | 300.000 | Lower bound of 5-odd-limit diamond monotone | |
| 9/5 | 339.199 | 2/3-comma | |
| 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
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
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 | |
| 7\12 | 700.000 | ↑ 12&55 ↓ Dominant | |
| 3\5 | 720.000 | Upper bound of 5-odd-limit diamond monotone |
* Besides the octave
135/128
| Edo generator |
Eigenmonzo (unchanged interval)* |
Generator (¢) | Comments |
|---|
* Besides the octave