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]]