13edo: Difference between revisions
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:''Main article: [[13edo scales]]'' | :''Main article: [[13edo scales]]'' | ||
Due to the prime character of the number 13, 13edo can form several xenharmonic [[MOSScales|moment of symmetry scales]]. The diagram below shows five "families" of MOS scales: those generated by making a chain of 2\13 (two [[degree]]s of 13edo), 3\13, 4\13, 5\13, & 6\13, respectively. | Due to the prime character of the number 13, 13edo can form several xenharmonic [[MOSScales|moment of symmetry scales]]. The diagram below shows five "families" of MOS scales: those generated by making a chain of 2\13 (two [[degree]]s of 13edo), 3\13, 4\13, 5\13, & 6\13, respectively. | ||
Cheat sheet of important [[MOS]] scale types with 9 notes or fewer: | |||
{| class="wikitable center-all right-2" | |||
|- | |||
! MOS type | |||
! Generator | |||
! Most common consonant triad | |||
! Most common consonant tetrad(s) | |||
|- | |||
| archeotonic (2222221) | |||
| major second (2\13) | |||
| 4:5:9 | |||
| 4:5:9:11, 4:5:9:13 | |||
|- | |||
| Father pentatonic (32323) | |||
| minor fourth (5\13) | |||
| | |||
| | |||
|- | |||
| oneirotonic (21221221) | |||
| minor fourth (5\13) | |||
| 4:9:21. Also important: 4:5:9 and its minor counterpart 0-3-15. | |||
| Basic triads with added 6ths and 7ths | |||
|- | |||
| Lovecraft nonatonic (212121211) | |||
| minor third (3\13) | |||
| 4:11:13 | |||
| 4:9:11:13 | |||
|- | |||
| Sephiroth decatonic (1313131) | |||
| major third (4\13) | |||
| 4:5:13 | |||
| 4:5:13:21 | |||
|} | |||
[[File:13edo_horograms.jpg|alt=13edo_horograms.jpg|13edo_horograms.jpg]] | [[File:13edo_horograms.jpg|alt=13edo_horograms.jpg|13edo_horograms.jpg]] | ||