Overtone scale: Difference between revisions
m Removing from Category:Naming using Cat-a-lot |
→Over-9 scales: Ptolemy |
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; Mode 9: 9:10:11:12:13:14:15:16:17:18 -- again, lacking a 3/2 above the bass, it's hard to make 9 sound like tonic. | ; Mode 9: 9:10:11:12:13:14:15:16:17:18 -- again, lacking a 3/2 above the bass, it's hard to make 9 sound like tonic. | ||
Ptolemy gave the 9:10:11:12 tuning of the tetrachord, calling it διάτονον ὁμᾰλόν (''diatonon homalon'', "equal/even diatonic") and describing it as "foreign" or "rustic"; the [[12/11]] neutral second is common in Southwest Asian music. | |||
; Mode 18: 18:19:20:21:22:23:24:25:26:27:28:29:30:31:32:33:34:35:36 -- now we have 27, a 3/2 above with bass, which allows 18:22:27:33, an undecimal neutral seventh chord; and 18:23:27, a [[23-limit]] supermajor triad (close to [[17edo]]). It's also worth noting that the entirety of Mode 6 is available here starting on 18 -- 18:21:24:27:30:33:36. | ; Mode 18: 18:19:20:21:22:23:24:25:26:27:28:29:30:31:32:33:34:35:36 -- now we have 27, a 3/2 above with bass, which allows 18:22:27:33, an undecimal neutral seventh chord; and 18:23:27, a [[23-limit]] supermajor triad (close to [[17edo]]). It's also worth noting that the entirety of Mode 6 is available here starting on 18 -- 18:21:24:27:30:33:36. | ||