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=== Target tunings === | === Target tunings === | ||
{{ | {| class="wikitable center-all mw-collapsible mw-collapsed" | ||
|+ style="font-size: 105%; white-space: nowrap;" | Odd-limit-based target tunings | |||
|- | |||
! rowspan="2" | Target | |||
! colspan="2" | Minimax | |||
|- | |||
! Generator | |||
! Eigenmonzo* | |||
|- | |||
| 7-odd-limit | |||
| ~10/7 = 633.282{{C}} | |||
| 7/6 | |||
|- | |||
| 9-odd-limit | |||
| ~10/7 = 633.583{{C}} | |||
| 9/7 | |||
|- | |||
| 11-odd-limit | |||
| ~10/7 = 633.760{{C}} | |||
| 77/45 | |||
|- | |||
| 13-odd-limit | |||
| ~10/7 = 633.962{{C}} | |||
| 13/7 | |||
|- | |||
| 15-odd-limit | |||
| ~10/7 = 633.962{{C}} | |||
| 13/7 | |||
|- | |||
| 13-limit 21-odd-limit | |||
| ~10/7 = 634.129{{C}} | |||
| 45/44 | |||
|} | |||
=== Tuning spectrum === | === Tuning spectrum === | ||
{ | {| class="wikitable center-all left-4" | ||
|- | |||
! Edo<br>generator | |||
! [[Eigenmonzo|Unchanged interval<br>(eigenmonzo)]]* | |||
! Generator (¢) | |||
! Comments | |||
|- | |||
| | |||
| [[7/5]] | |||
| 617.488 | |||
| | |||
|- | |||
| [[21edo|11\21]] | |||
| | |||
| 628.571 | |||
| Lower bound of 7-odd-limit diamond monotone<br>21f val | |||
|- | |||
| | |||
| [[15/8]] | |||
| 629.423 | |||
| | |||
|- | |||
| | |||
| [[15/14]] | |||
| 629.861 | |||
| | |||
|- | |||
| | |||
| [[7/4]] | |||
| 631.174 | |||
| | |||
|- | |||
| | |||
| [[7/6]] | |||
| 633.282 | |||
| 7-odd-limit minimax | |||
|- | |||
| [[36edo|19\36]] | |||
| | |||
| | |||
| Lower bound of 9- through 13-odd-limit diamond monotone<br>15-odd-limit diamond monotone (singleton) | |||
|- | |||
| | |||
| [[9/7]] | |||
| 633.583 | |||
| 9-odd-limit minimax | |||
|- | |||
| | |||
| [[21/13]] | |||
| 633.949 | |||
| | |||
|- | |||
| | |||
| [[13/7]] | |||
| 633.962 | |||
| 13- and 15-odd-limit minimax | |||
|- | |||
| | |||
| [[3/2]] | |||
| 633.985 | |||
| | |||
|- | |||
| | |||
| [[15/11]] | |||
| 634.238 | |||
| | |||
|- | |||
| [[87edo|46\87]] | |||
| | |||
| 634.483 | |||
| 87cee val | |||
|- | |||
| | |||
| [[13/8]] | |||
| 634.361 | |||
| | |||
|- | |||
| | |||
| [[13/12]] | |||
| 634.643 | |||
| | |||
|- | |||
| | |||
| [[11/10]] | |||
| 634.996 | |||
| | |||
|- | |||
| [[51edo|27\51]] | |||
| | |||
| 635.294 | |||
| 51ce val | |||
|- | |||
| | |||
| [[21/16]] | |||
| 635.390 | |||
| | |||
|- | |||
| | |||
| [[11/9]] | |||
| 636.085 | |||
| | |||
|- | |||
| | |||
| [[13/11]] | |||
| 636.151 | |||
| | |||
|- | |||
| | |||
| [[9/5]] | |||
| 636.266 | |||
| | |||
|- | |||
| | |||
| [[13/10]] | |||
| 636.316 | |||
| | |||
|- | |||
| [[66edo|35\66]] | |||
| | |||
| 636.364 | |||
| 66cef val | |||
|- | |||
| | |||
| [[13/9]] | |||
| 636.618 | |||
| | |||
|- | |||
| | |||
| [[11/6]] | |||
| 637.659 | |||
| | |||
|- | |||
| | |||
| [[15/13]] | |||
| 638.065 | |||
| | |||
|- | |||
| | |||
| [[5/3]] | |||
| 638.547 | |||
| | |||
|- | |||
| | |||
| [[21/11]] | |||
| 639.821 | |||
| | |||
|- | |||
| [[15edo|8\15]] | |||
| | |||
| 640.000 | |||
| Upper bound of 7- through 13-odd-limit diamond monotone | |||
|- | |||
| | |||
| [[21/20]] | |||
| 642.234 | |||
| | |||
|} | |||
<nowiki/>* Besides the octave | |||
[[Category:Trisected| ]] <!-- main article --> | [[Category:Trisected| ]] <!-- main article --> | ||