Oneirotonic: Difference between revisions

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==A-Team (13&18, 4:5:9:(11:13):21) interpretation==
==A-Team (13&18, 4:5:9:(11:13):21) interpretation==
EDOs that support A-Team include [[13edo]], [[18edo]], [[31edo]] and [[44edo]].
The A-Team representation is less useful than it might first appear, it doesn't represent many lower-complexity JI triads other than 4:9:21, 9:10:13, and the occasional 4:5:9. 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. Certain dissonances also stick out a lot in more "accurate" tunings such as [[31edo]].
It is possible to tune A-Team by ear, by tuning a chain of pure harmonic sevenths and taking every other note. This corresponds to using a generator of 64/49 = 462.34819 cents. A chain of fourteen 7/4's are needed to tune the 8-note oneirotonic MOS.
It is possible to tune A-Team by ear, by tuning a chain of pure harmonic sevenths and taking every other note. This corresponds to using a generator of 64/49 = 462.34819 cents. A chain of fourteen 7/4's are needed to tune the 8-note oneirotonic MOS.