Oneirotonic: Difference between revisions

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The term '''oneirotonic''' (/oʊnaɪrəˈtɒnɪk/ ''oh-ny-rə-TON-ik'' or /ənaɪrə-/ ''ə-ny-rə-'') is used for the 8-note MOS structure [[5L 3s]], whose brightest mode is LLsLLsLs. The name "oneirotonic" was coined by [[Cryptic Ruse]] after the Dreamlands in H.P. Lovecraft's Dream Cycle mythos. Oneirotonic is a distorted diatonic, because it has one extra small step compared to diatonic ([[5L 2s]]).

The generator size ranges from 450¢ (3\8) to 480¢ (2\5). Hence any edo with an interval between 450¢ and 480¢ has an oneirotonic scale.

The generator size ranges from 450¢ (3\8) to 480¢ (2\5). Hence any edo with an interval between 450¢ and 480¢ has an oneirotonic scale. [[13edo]] is the smallest edo with a (non-degenerate) 5L3s oneirotonic scale.

In terms of [[regular temperament]]s, there are at least two melodically viable ways to interpret oneirotonic:

In terms of [[regular temperament]]s, there are at least two melodically viable ways to interpret oneirotonic. [[13edo]] represents both temperaments.

# When the generator is between 461.54¢ (5\13) and 466.67¢ (7\18): [[A-Team]] (13&18, a 4:5:9:21 or 2.9.5.21 temperament)

# When the generator is between 457.14¢ (8\21) and 461.54¢ (5\13): [[Petrtri]] (13&21, a 4:5:9:11:13:17 or 2.5.9.11.13.17 temperament)

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 The term '''oneirotonic''' (/oʊnaɪrəˈtɒnɪk/ ''oh-ny-rə-TON-ik'' or /ənaɪrə-/ ''ə-ny-rə-'') is used for the 8-note MOS structure [[5L 3s]], whose brightest mode is LLsLLsLs. The name "oneirotonic" was coined by [[Cryptic Ruse]] after the Dreamlands in H.P. Lovecraft's Dream Cycle mythos. Oneirotonic is a distorted diatonic, because it has one extra small step compared to diatonic ([[5L 2s]]).
-The generator size ranges from 450¢ (3\8) to 480¢ (2\5). Hence any edo with an interval between 450¢ and 480¢ has an oneirotonic scale.
+The generator size ranges from 450¢ (3\8) to 480¢ (2\5). Hence any edo with an interval between 450¢ and 480¢ has an oneirotonic scale. [[13edo]] is the smallest edo with a (non-degenerate) 5L3s oneirotonic scale.
-In terms of [[regular temperament]]s, there are at least two melodically viable ways to interpret oneirotonic:
+In terms of [[regular temperament]]s, there are at least two melodically viable ways to interpret oneirotonic. [[13edo]] represents both temperaments.
 # When the generator is between 461.54¢ (5\13) and 466.67¢ (7\18): [[A-Team]] (13&18, a 4:5:9:21 or 2.9.5.21 temperament)
 # When the generator is between 457.14¢ (8\21) and 461.54¢ (5\13): [[Petrtri]] (13&21, a 4:5:9:11:13:17 or 2.5.9.11.13.17 temperament)