Augene: Difference between revisions
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Cmloegcmluin (talk | contribs) →Spectrum of Augene Tunings by Eigenmonzos: improve and standardize tuning spectra tables |
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The first few augene MOSes are [[3L_3s|3L 3s]], [[3L_6s|3L 6s]], [[3L_9s|3L 9s]], [[12L_3s|12L 3s]]... and the first EDOs that reasonably support augene are [[12edo|12edo]], [[15edo|15edo]], and especially [[27edo|27edo]]. | The first few augene MOSes are [[3L_3s|3L 3s]], [[3L_6s|3L 6s]], [[3L_9s|3L 9s]], [[12L_3s|12L 3s]]... and the first EDOs that reasonably support augene are [[12edo|12edo]], [[15edo|15edo]], and especially [[27edo|27edo]]. | ||
= | == Tuning spectrum == | ||
{| class="wikitable" | {| class="wikitable center-all" | ||
|- | |- | ||
! | | ! | ET<br>generator | ||
! | | ! | [[eigenmonzo|eigenmonzo<br>(unchanged interval]]) | ||
! | fifth<br>(¢) | |||
! | comments | |||
|- | |- | ||
| | | |||
| | 14/13 | | | 14/13 | ||
| | 671.702 | | | 671.702 | ||
| | | |||
|- | |- | ||
| | 12\28 | | | 12\28 | ||
| | | |||
| | 685.714 | | | 685.714 | ||
| | | |||
|- | |- | ||
| | | |||
| | 16/15 | | | 16/15 | ||
| | 688.269 | | | 688.269 | ||
| | | |||
|- | |- | ||
| | | |||
| | 13/11 | | | 13/11 | ||
| | 689.210 | | | 689.210 | ||
| | | |||
|- | |- | ||
| | 7\12 | | | 7\12 | ||
| | | |||
| | 700.000 | | | 700.000 | ||
| | | |||
|- | |- | ||
| | 31\53 | | | 31\53 | ||
| | | |||
| | 701.887 | | | 701.887 | ||
| | | |||
|- | |- | ||
| | | |||
| | 4/3 | | | 4/3 | ||
| | 701.955 | | | 701.955 | ||
| | | |||
|- | |- | ||
| | 30\51 | | | 30\51 | ||
| | | |||
| | 705.882 | | | 705.882 | ||
| | | |||
|- | |- | ||
| | | |||
| | 15/14 | | | 15/14 | ||
| | 706.481 | | | 706.481 | ||
| | | |||
|- | |- | ||
| | 23\39 | | | 23\39 | ||
| | | |||
| | 707.692 | | | 707.692 | ||
| | | |||
|- | |- | ||
| | | |||
| | 7/5 | | | 7/5 | ||
| | 708.744 | | | 708.744 | ||
| | | |||
|- | |- | ||
| | | |||
| | 9/7 | | | 9/7 | ||
| | 708.771 | | | 708.771 | ||
| | | |||
|- | |- | ||
| | | |||
| | 10/9 | | | 10/9 | ||
| | 708.798 | | | 708.798 | ||
| | 9 limit minimax | |||
|- | |- | ||
| | 39\66 | | | 39\66 | ||
| | | |||
| | 709.091 | | | 709.091 | ||
| | | |||
|- | |- | ||
| | | |||
| | 7/6 | | | 7/6 | ||
| | 711.043 | | | 711.043 | ||
| | | |||
|- | |- | ||
| | 16\27 | | | 16\27 | ||
| | | |||
| | 711.111 | | | 711.111 | ||
| | | |||
|- | |- | ||
| | | |||
| | 15/11 | | | 15/11 | ||
| | 712.317 | | | 712.317 | ||
| | | |||
|- | |- | ||
| | 57\96 | | | 57\96 | ||
| | | |||
| | 712.5 | | | 712.5 | ||
| | | |||
|- | |- | ||
| | | |||
| | 11/9 | | | 11/9 | ||
| | 713.148 | | | 713.148 | ||
| | 11 limit minimax | |||
|- | |- | ||
| | 25\42 | | | 25\42 | ||
| | | |||
| | 714.286 | | | 714.286 | ||
| | | |||
|- | |- | ||
| | | |||
| | 8/7 | | | 8/7 | ||
| | 715.587 | | | 715.587 | ||
| | 7, 13 and 15 limit minimax | |||
|- | |- | ||
| | | |||
| | 6/5 | | | 6/5 | ||
| | 715.641 | | | 715.641 | ||
| | 5 limit minimax | |||
|- | |- | ||
| | 34\57 | | | 34\57 | ||
| | | |||
| | 715.789 | | | 715.789 | ||
| | | |||
|- | |- | ||
| | 25\72 | | | 25\72 | ||
| | | |||
| | 716.667 | | | 716.667 | ||
| | | |||
|- | |- | ||
| | | |||
| | 12/11 | | | 12/11 | ||
| | 716.879 | | | 716.879 | ||
| | | |||
|- | |- | ||
| | | |||
| | 11/10 | | | 11/10 | ||
| | 717.498 | | | 717.498 | ||
| | | |||
|- | |- | ||
| | 9\15 | | | 9\15 | ||
| | | |||
| | 720.000 | | | 720.000 | ||
| | | |||
|- | |- | ||
| | | |||
| | 18/13 | | | 18/13 | ||
| | 721.127 | | | 721.127 | ||
| | | |||
|- | |- | ||
| | | |||
| | 15/13 | | | 15/13 | ||
| | 723.871 | | | 723.871 | ||
| | | |||
|- | |- | ||
| | | |||
| | 11/8 | | | 11/8 | ||
| | 724.341 | | | 724.341 | ||
| | | |||
|- | |- | ||
| | | |||
| | 13/12 | | | 13/12 | ||
| | 730.714 | | | 730.714 | ||
| | | |||
|- | |- | ||
| | | |||
| | 13/10 | | | 13/10 | ||
| | 745.786 | | | 745.786 | ||
| | | |||
|- | |- | ||
| | | |||
| | 16/13 | | | 16/13 | ||
| | 759.472 | | | 759.472 | ||
| | | |||
|} | |} | ||