21st-octave temperaments: Difference between revisions
Created page with "This page collectes temperaments with a period of 1/21 of an octave. Although 21edo itself is not remarkably accurate for low-complexity harmonics, some temperaments which ar..." |
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This page collectes temperaments with a period of 1/21 of an octave. | This page collectes temperaments with a period of 1/21 of an octave. | ||
Although 21edo itself is not remarkably accurate for low-complexity harmonics, some temperaments which are multiples of 21, such as {{EDOs|441, 1407, and 1848}} are. | Although 21edo itself is not remarkably accurate for low-complexity harmonics, some temperaments which are multiples of 21, such as {{EDOs|441, 1407, and 1848}} are. 441 and 1848 are also members of [[zeta]] edo list. | ||
== Akjayland == | == Akjayland == | ||
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[[Badness]]: 0.0309 | [[Badness]]: 0.0309 | ||
== Vasca == | |||
Vasca tempers out the {{Monzo|95 0 0 0 0 0 0 0 -21}} in the 23-limit, and sets a stack of 21 [[23/16]]<nowiki/>s equal with 11 octaves. derives from elements Vanadium (23) and Scandium (21), since this uses the 23rd harmonic, which itself is extremely well represented in 21edo. It is defined as a 525 & 357 temperament. | |||
Subgroup: 2.3.5.7.11.13.17.19.23 | |||
Comma list: 1496/1495, 2376/2375, 3060/3059, 17204/17199, 282625/282624, {{Monzo|95 0 0 0 0 0 0 0 -21}} | |||
Mapping: [{{Val|21 34 49 58 73 77 85 91 95}}, {{Val|0 -6 -2 8 -3 6 7 -15 0}}] | |||
POTE generator: 6.8162 | |||