13edo scales: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
Line 249: Line 249:


=== Chords ===
=== Chords ===
The squashed major and minor triads, 0-4-7 and 0-3-7 represent 9:11:13 and 11:13:16 respectively.


Despite being melodically familiar, oneirotonic may be the most harmonically complex of the 13edo scales; the most common consonant triad is a fairly complex 4:9:21. Hence oneirotonic may especially benefit from either using inharmonic timbres in addition to harmonic ones or using a well-tempered version of 13edo adopted for this scale. The availability of certain consonances also varies greatly by mode: for example, only Dylathian, Ilarnekian and Sarnathian have a 5/4 on the tonic, and only Mnarian, Kadathian, Hlanithian and Sarnathian have an 11/8 on the tonic.
Extended chords with sixths and sevenths are also useful. For example:
*Chords directly based on the 5\13 generator: 0-5-10, 0-5-8-10, 0-2-5-10
*Added sevenths: 0-4-7-12, 0-3-7-12
*Added sixths: 0-4-7-10, 0-4-7-9, 0-3-7-10, 0-3-7-9, 0-3-6-9


=== Modal harmony ===
=== Modal harmony ===