Didacus: Difference between revisions
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The below tuning spectrum assumes undecimal didacus. | The below tuning spectrum assumes undecimal didacus. | ||
{| class="wikitable center-all left-4" | {| class="wikitable center-all left-4 left-5" | ||
! EDO<br>generator | ! EDO<br>generator | ||
! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]* | ! [[Eigenmonzo|Eigenmonzo<br>(unchanged interval)]]* | ||
! Generator (¢) | ! Generator (¢) | ||
! Extension | |||
! Comments | ! Comments | ||
|- | |- | ||
| Line 334: | Line 335: | ||
| | | | ||
| '''171.429''' | | '''171.429''' | ||
| | |||
| 7dee val, '''lower bound of (2.5.7) 7-odd-limit diamond monotone''' | | 7dee val, '''lower bound of (2.5.7) 7-odd-limit diamond monotone''' | ||
|- | |- | ||
| Line 339: | Line 341: | ||
| | | | ||
| '''184.615''' | | '''184.615''' | ||
| | |||
| 13e val, '''lower bound of (2.5.7.11) 11-odd-limit diamond monotone''' | | 13e val, '''lower bound of (2.5.7.11) 11-odd-limit diamond monotone''' | ||
|- | |- | ||
| Line 344: | Line 347: | ||
| | | | ||
| 189.474 | | 189.474 | ||
| ↓ ''[[Spell]]'' (49/48) | |||
| 19e val | | 19e val | ||
|- | |- | ||
| Line 349: | Line 353: | ||
| [[125/112]] | | [[125/112]] | ||
| 190.115 | | 190.115 | ||
| | |||
| Full-comma | | Full-comma | ||
|- | |- | ||
| Line 354: | Line 359: | ||
| | | | ||
| 190.909 | | 190.909 | ||
| | |||
| 44dee val | | 44dee val | ||
|- | |- | ||
| Line 359: | Line 365: | ||
| | | | ||
| 192.000 | | 192.000 | ||
| ↑ Spell <br> ↓ [[Luna and hemithirds#Tuning spectrum|Hemithirds]] (1029/1024) | |||
| | | | ||
|- | |- | ||
| Line 364: | Line 371: | ||
| | | | ||
| 192.593 | | 192.593 | ||
| | |||
| 81ee val | | 81ee val | ||
|- | |- | ||
| Line 369: | Line 377: | ||
| | | | ||
| 192.857 | | 192.857 | ||
| | |||
| 56e val | | 56e val | ||
|- | |- | ||
| Line 374: | Line 383: | ||
| | | | ||
| 193.103 | | 193.103 | ||
| | |||
| 87e val | | 87e val | ||
|- | |- | ||
| Line 379: | Line 389: | ||
| [[5/4]] | | [[5/4]] | ||
| 193.157 | | 193.157 | ||
| | |||
| 1/2-comma, '''lower bound of (2.5.7.11) 7- and 11-odd-limit diamond tradeoff''' | | 1/2-comma, '''lower bound of (2.5.7.11) 7- and 11-odd-limit diamond tradeoff''' | ||
|- | |- | ||
| Line 384: | Line 395: | ||
| | | | ||
| 193.220 | | 193.220 | ||
| | |||
| 118ee val | | 118ee val | ||
|- | |- | ||
| Line 389: | Line 401: | ||
| | | | ||
| 193.548 | | 193.548 | ||
| ↑ Hemithirds <br> ↓ ''[[Hemiwurschmidt]]'' (2401/2400) | |||
| | | | ||
|- | |- | ||
| Line 394: | Line 407: | ||
| [[35/32]] | | [[35/32]] | ||
| 193.591 | | 193.591 | ||
| | |||
| 3/7-comma | | 3/7-comma | ||
|- | |- | ||
| Line 399: | Line 413: | ||
| [[7/4]] | | [[7/4]] | ||
| 193.765 | | 193.765 | ||
| | |||
| 2/5-comma | | 2/5-comma | ||
|- | |- | ||
| Line 404: | Line 419: | ||
| | | | ||
| 193.789 | | 193.789 | ||
| | |||
| 161e val | | 161e val | ||
|- | |- | ||
| Line 409: | Line 425: | ||
| | | | ||
| 193.846 | | 193.846 | ||
| | |||
| 130e val | | 130e val | ||
|- | |- | ||
| Line 414: | Line 431: | ||
| [[49/40]] | | [[49/40]] | ||
| 193.917 | | 193.917 | ||
| | |||
| 3/8-comma | | 3/8-comma | ||
|- | |- | ||
| Line 419: | Line 437: | ||
| | | | ||
| 193.939 | | 193.939 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 424: | Line 443: | ||
| | | | ||
| 194.012 | | 194.012 | ||
| | |||
| 167e val | | 167e val | ||
|- | |- | ||
| Line 429: | Line 449: | ||
| | | | ||
| 194.118 | | 194.118 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 434: | Line 455: | ||
| [[7/5]] | | [[7/5]] | ||
| 194.171 | | 194.171 | ||
| | |||
| 1/3-comma, '''upper bound of (2.5.7) 7-odd-limit diamond tradeoff''' | | 1/3-comma, '''upper bound of (2.5.7) 7-odd-limit diamond tradeoff''' | ||
|- | |- | ||
| Line 439: | Line 461: | ||
| | | | ||
| 194.286 | | 194.286 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 444: | Line 467: | ||
| | | | ||
| 194.366 | | 194.366 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 449: | Line 473: | ||
| [[11/8]] | | [[11/8]] | ||
| 194.591 | | 194.591 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 454: | Line 479: | ||
| | | | ||
| 194.595 | | 194.595 | ||
| ↑ Hemiwurschmidt | |||
| | | | ||
|- | |- | ||
| Line 459: | Line 485: | ||
| [[196/125]] | | [[196/125]] | ||
| 194.678 | | 194.678 | ||
| | |||
| 1/4-comma | | 1/4-comma | ||
|- | |- | ||
| Line 464: | Line 491: | ||
| | | | ||
| 194.872 | | 194.872 | ||
| | |||
| 117d val | | 117d val | ||
|- | |- | ||
| Line 469: | Line 497: | ||
| | | | ||
| 195.000 | | 195.000 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 474: | Line 503: | ||
| [[11/10]] | | [[11/10]] | ||
| 195.001 | | 195.001 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 479: | Line 509: | ||
| | | | ||
| 195.349 | | 195.349 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 484: | Line 515: | ||
| [[11/7]] | | [[11/7]] | ||
| 195.623 | | 195.623 | ||
| ''' | | | ||
| '''Upper bound of (2.5.7.11) 11-odd-limit diamond tradeoff''' | |||
|- | |- | ||
| [[49edo|8\49]] | | [[49edo|8\49]] | ||
| | | | ||
| 195.918 | | 195.918 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 494: | Line 527: | ||
| [[28/25]] | | [[28/25]] | ||
| 196.198 | | 196.198 | ||
| | |||
| Untempered tuning | | Untempered tuning | ||
|- | |- | ||
| Line 499: | Line 533: | ||
| | | | ||
| 196.364 | | 196.364 | ||
| | |||
| 55de val | | 55de val | ||
|- | |- | ||
| Line 504: | Line 539: | ||
| | | | ||
| '''200.000''' | | '''200.000''' | ||
| | |||
| '''Upper bound of (no-threes) 7- and 11-odd-limit diamond monotone''' | | '''Upper bound of (no-threes) 7- and 11-odd-limit diamond monotone''' | ||
|} | |} | ||