4L 3s/Temperaments: Difference between revisions
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Created page with "== Myna (27&31) == == Kleismic (19&15, 2.3.5.7) == == Orgone (15&11, 2.7.11) == == Sixix (18&25) == Sixix can be viewed as a dual-fifth temperaments|dual-fifth temperame..." |
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* Combining the sharp fifth and the flat fifth yields a good approximation of 9/8; two 9/8's make a 5/4, so it tempers out 81/80 in the underlying 2.9.5 subgroup. | * Combining the sharp fifth and the flat fifth yields a good approximation of 9/8; two 9/8's make a 5/4, so it tempers out 81/80 in the underlying 2.9.5 subgroup. | ||
* The chroma of sixix[7] is the difference between the sharp fifth and the flat fifth, and functions much like a(n untempered) comma in sixix harmony, giving two slightly different flavors of fifths, minor thirds, major thirds, etc, much like in [[porcupine]] harmony. Tempering out this comma leads to [[7edo]]. | * The chroma of sixix[7] is the difference between the sharp fifth and the flat fifth, and functions much like a(n untempered) comma in sixix harmony, giving two slightly different flavors of fifths, minor thirds, major thirds, etc, much like in [[porcupine]] harmony. Tempering out this comma leads to [[7edo]]. | ||
[[Category:Smitonic|T]] | |||
[[Category:Temperament]] | |||
Revision as of 04:04, 31 March 2021
Myna (27&31)
Kleismic (19&15, 2.3.5.7)
Orgone (15&11, 2.7.11)
Sixix (18&25)
Sixix can be viewed as a dual-fifth temperament, i.e. a temperament on the 2.3+.3-.5 "subgroup" (3+ = sharp 3, 3- = flat 3):
- It has both a sharp fifth and a flat fifth but no near-just 3/2.
- Combining the sharp fifth and the flat fifth yields a good approximation of 9/8; two 9/8's make a 5/4, so it tempers out 81/80 in the underlying 2.9.5 subgroup.
- The chroma of sixix[7] is the difference between the sharp fifth and the flat fifth, and functions much like a(n untempered) comma in sixix harmony, giving two slightly different flavors of fifths, minor thirds, major thirds, etc, much like in porcupine harmony. Tempering out this comma leads to 7edo.