Oneirotonic: Difference between revisions

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==A-Team (13&18, 4:5:9:(11:13):21) interpretation==

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.

The sizes of the generator, large step and small step of oneirotonic are as follows in various A-Team tunings. 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.

~~The sizes of the generator, large step and small step of oneirotonic are as follows in various tunings~~.

{| class="wikitable right-2 right-3 right-4 right-5"

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==Petrtri (13&21, 4:5:9:11:13:17) interpretation==

The sizes of the generator, large step and small step of oneirotonic are as follows in various Petrtri tunings. (Golden oneirotonic uses 1200*(2-φ) = 458.3592135¢ as generator and has L/s = φ; it is the limit of taking generators in Fibonacci number edos 5\13, 8\21, 13\34, 21\55, 34\89,....)

The sizes of the generator, large step and small step of oneirotonic are as follows in various tunings. (Golden oneirotonic uses 1200*(2-φ) = 458.3592135¢ as generator and has L/s = φ; it is the limit of taking generators in Fibonacci number edos 5\13, 8\21, 13\34, 21\55, 34\89,....)

{| class="wikitable right-2 right-3 right-4"

|-

@@ Line 136: / Line 136: @@
 ==A-Team (13&18, 4:5:9:(11:13):21) interpretation==
-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.
+The sizes of the generator, large step and small step of oneirotonic are as follows in various A-Team tunings. 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.
-The sizes of the generator, large step and small step of oneirotonic are as follows in various tunings.
 {| class="wikitable right-2 right-3 right-4 right-5"
@@ Line 254: / Line 252: @@
 ==Petrtri (13&21, 4:5:9:11:13:17) interpretation==
+The sizes of the generator, large step and small step of oneirotonic are as follows in various Petrtri tunings. (Golden oneirotonic uses 1200*(2-φ) = 458.3592135¢ as generator and has L/s = φ; it is the limit of taking generators in Fibonacci number edos 5\13, 8\21, 13\34, 21\55, 34\89,....)
-The sizes of the generator, large step and small step of oneirotonic are as follows in various tunings. (Golden oneirotonic uses 1200*(2-φ) = 458.3592135¢ as generator and has L/s = φ; it is the limit of taking generators in Fibonacci number edos 5\13, 8\21, 13\34, 21\55, 34\89,....)
 {| class="wikitable right-2 right-3 right-4"
 |-