A-team: Difference between revisions

Line 174:

[[23edo]] (469.57 cents) and [[41edo]] (468.29 cents): two tones represent 14/11 rather than 5/4, and J-O# (4 large steps + 1 small step) becomes a 5/3 rather than a 13/8.

Using a pure 21/16 of 470.78¢ results in an extremely lopsided oneirotonic scale with L/s = 4.60 close to 5edo. Harmonically this results in a 9/8 of 212.342722 which is very much in the superpyth range (for comparison, 17edo's 9/8 is 211.765 cents). The "major tritone" in oneirotonic (J-N in Kentaku notation) will be a very flat fifth of 683.123 cents, constrasting with the very sharp 40/21 fifth (729.2 cents). The flat fifths give shimmery detuned versions of zo (subminor) triads 6:7:9 and sus2 triads 8:9:12. All these intervals contribute to the scale's overall shimmery quality which the 23edo scale shares too.

Using a pure 21/16 of 470.78¢ results in an extremely lopsided oneirotonic scale with L/s = 4.60 close to 5edo. Harmonically this results in a 9/8 of 212.342722 which is very much in the superpyth range (for comparison, 17edo's 9/8 is 211.765 cents). The "major tritone" in oneirotonic (J-N in Kentaku notation) will be a very flat fifth of 683.123 cents, constrasting with the very sharp 40/21 fifth (729.2 cents). The flat fifths give shimmery detuned versions of zo (subminor) triads 6:7:9 and sus2 triads 8:9:12. All these intervals contribute to the scale's overall gently shimmery quality which the 23edo scale shares too.

Revision as of 23:37, 28 May 2020 view source Inthar (talk \| contribs) autopatrolled, emailconfirmed 15,004 edits →"Superpythagorean" tunings ← Older edit		Revision as of 23:40, 28 May 2020 view source Inthar (talk \| contribs) autopatrolled, emailconfirmed 15,004 edits →"Superpythagorean" tunings Newer edit →
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	[[23edo]] (469.57 cents) and [[41edo]] (468.29 cents): two tones represent 14/11 rather than 5/4, and J-O# (4 large steps + 1 small step) becomes a 5/3 rather than a 13/8.		[[23edo]] (469.57 cents) and [[41edo]] (468.29 cents): two tones represent 14/11 rather than 5/4, and J-O# (4 large steps + 1 small step) becomes a 5/3 rather than a 13/8.

	Using a pure 21/16 of 470.78¢ results in an extremely lopsided oneirotonic scale with L/s = 4.60 close to 5edo. Harmonically this results in a 9/8 of 212.342722 which is very much in the superpyth range (for comparison, 17edo's 9/8 is 211.765 cents). The "major tritone" in oneirotonic (J-N in Kentaku notation) will be a very flat fifth of 683.123 cents, constrasting with the very sharp 40/21 fifth (729.2 cents). The flat fifths give shimmery detuned versions of zo (subminor) triads 6:7:9 and sus2 triads 8:9:12. All these intervals contribute to the scale's overall shimmery quality which the 23edo scale shares too.		Using a pure 21/16 of 470.78¢ results in an extremely lopsided oneirotonic scale with L/s = 4.60 close to 5edo. Harmonically this results in a 9/8 of 212.342722 which is very much in the superpyth range (for comparison, 17edo's 9/8 is 211.765 cents). The "major tritone" in oneirotonic (J-N in Kentaku notation) will be a very flat fifth of 683.123 cents, constrasting with the very sharp 40/21 fifth (729.2 cents). The flat fifths give shimmery detuned versions of zo (subminor) triads 6:7:9 and sus2 triads 8:9:12. All these intervals contribute to the scale's overall gently shimmery quality which the 23edo scale shares too.