Würschmidt: Difference between revisions
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== Tunings == | == Tunings == | ||
=== Tuning spectrum === | === Tuning spectrum === | ||
The below assumes the 2.3.5.11.23 subgroup extension. Note that "e" and "i" are the warts for primes 11 and 23, respectively. | |||
{| class="wikitable center-all left-4" | |||
! Edo<br>Generator | |||
! [[Eigenmonzo|Eigenmonzo<br>(Unchanged-interval)]]* | |||
! Generator (¢) | |||
! Comments | |||
|- | |||
| [[28edo|9\28]] | |||
| | |||
| 385.7143 | |||
| | |||
|- | |||
| | |||
| [[5/4]] | |||
| 386.8520 | |||
| Untempered tuning, lower bound of 5-odd-limit diamond tradeoff | |||
|- | |||
| | |||
| [[11/9]] | |||
| 386.3137 | |||
| 1/4 [[5632/5625|vishdel comma]] | |||
|- | |||
| '''[[31edo|10\31]]''' | |||
| | |||
| '''387.0968''' | |||
| '''Lower bound of 2.3.5.23-subgroup 25-odd-limit diamond monotone''' | |||
|- | |||
| | |||
| [[23/22]] | |||
| 387.1739 | |||
| | |||
|- | |||
| | |||
| [[375/256]] | |||
| 387.3542 | |||
| 1/11-comma | |||
|- | |||
| [[127edo|41\127]] | |||
| | |||
| 387.4016 | |||
| 127e val | |||
|- | |||
| | |||
| [[11/6]] | |||
| 387.4469 | |||
| | |||
|- | |||
| | |||
| [[75/64]] | |||
| 387.4582 | |||
| 1/10-comma | |||
|- | |||
| [[96edo|31\96]] | |||
| | |||
| 387.5000 | |||
| | |||
|- | |||
| | |||
| [[11/8]] | |||
| 387.5659 | |||
| | |||
|- | |||
| [[161edo|52\161]] | |||
| | |||
| 387.5776 | |||
| | |||
|- | |||
| | |||
| [[15/8]] | |||
| 387.5854 | |||
| 1/9-comma | |||
|- | |||
| [[226edo|73\226]] | |||
| | |||
| 387.6106 | |||
| | |||
|- | |||
| | |||
| [[11/10]] | |||
| 387.6318 | |||
| | |||
|- | |||
| | |||
| [[45/32]] | |||
| 387.6602 | |||
| 2/17-comma | |||
|- | |||
| [[65edo|21\65]] | |||
| | |||
| 387.6923 | |||
| | |||
|- | |||
| | |||
| [[23/12]] | |||
| 387.7199 | |||
| | |||
|- | |||
| | |||
| [[23/16]] | |||
| 387.7338 | |||
| | |||
|- | |||
| [[359edo|116\359]] | |||
| | |||
| 387.7437 | |||
| 359ee val | |||
|- | |||
| | |||
| [[3/2]] | |||
| 387.7444 | |||
| 1/8-comma | |||
|- | |||
| [[229edo|74\229]] | |||
| | |||
| 387.7729 | |||
| 229e val | |||
|- | |||
| [[164edo|53\164]] | |||
| | |||
| 387.8049 | |||
| 164e val | |||
|- | |||
| | |||
| [[23/18]] | |||
| 387.8178 | |||
| 1/2 [[576/575|S24]] | |||
|- | |||
| [[263edo|85\263]] | |||
| | |||
| 387.8327 | |||
| 263ee val | |||
|- | |||
| | |||
| [[9/5]] | |||
| 387.8393 | |||
| 2/15-comma | |||
|- | |||
| | |||
| [[23/20]] | |||
| 387.8431 | |||
| | |||
|- | |||
| [[99edo|32\99]] | |||
| | |||
| 387.8788 | |||
| 99e val | |||
|- | |||
| [[232edo|75\232]] | |||
| | |||
| 387.9310 | |||
| 232eei val | |||
|- | |||
| | |||
| [[6/5]] | |||
| 387.9490 | |||
| 1/7-comma, upper bound of 5-odd-limit diamond tradeoff | |||
|- | |||
| [[133edo|43\133]] | |||
| | |||
| 387.9699 | |||
| 133e val | |||
|- | |||
| | |||
| [[46/25]] | |||
| 387.9706 | |||
| | |||
|- | |||
| | |||
| [[23/15]] | |||
| 388.0011 | |||
| | |||
|- | |||
| [[167edo|54\167]] | |||
| | |||
| 388.0240 | |||
| 167eei val | |||
|- | |||
| | |||
| [[48/25]] | |||
| 388.2213 | |||
| 1/6-comma, upper bound of 2.3.5.23-subgroup 25-odd-limit diamond tradeoff | |||
|- | |||
| [[34edo|11\34]] | |||
| | |||
| 388.2353 | |||
| | |||
|- | |||
| | |||
| [[192/125]] | |||
| 388.6028 | |||
| 1/5-comma | |||
|- | |||
| [[71edo|23\71]] | |||
| | |||
| 388.7324 | |||
| 71eei val | |||
|- | |||
| | |||
| [[768/625]] | |||
| 389.1750 | |||
| 1/4-comma | |||
|- | |||
| [[37edo|12\37]] | |||
| | |||
| 389.1892 | |||
| 37eei val | |||
|- | |||
| '''[[3edo|1\3]]''' | |||
| | |||
| '''400.0000''' | |||
| '''Upper bound of 2.3.5.23-subgroup 25-odd-limit diamond monotone''' | |||
|} | |||
<nowiki>*</nowiki> besides the octave | |||
=== Other tunings === | === Other tunings === | ||