Hemimage temperaments: Difference between revisions
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== Squarschmidt == | |||
A generator for the squarschimidt temperament is the fourth root of [[5/2]], (5/2)<sup>1/4</sup>, tuned around 396.6 cents. The squarschimidt temperament can be described as 118&239 temperament, tempering out the hemimage comma and quasiorwellisma, 29360128/29296875 in the 7-limit. In the 11-limit, 118&239 temperament | |||
Subgroup: 2.3.5 | |||
[[Comma]]: {{monzo| 61 4 -29 }} | |||
[[Mapping]]: [{{val| 1 -8 1 }}, {{val| 0 29 4 }}] | |||
[[POTE generator]]: ~98304/78125 = 396.6208 | |||
{{Val list|legend=1| 118, 593, 711, 829, 947 }} | |||
[[Badness]]: 0.218314 | |||
=== 7-limit === | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 10976/10935, 29360128/29296875 | |||
[[Mapping]]: [{{val| 1 -8 1 -20 }}, {{val| 0 29 4 69 }}] | |||
{{Multival|legend=1| 29 4 69 -61 28 149 }} | |||
[[POTE generator]]: ~1125/896 = 396.643 | |||
{{Val list|legend=1| 118, 239, 357, 596, 1549bd }} | |||
[[Badness]]: 0.132821 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 3025/3024, 5632/5625, 10976/10935 | |||
Mapping: [{{val| 1 -8 1 -20 -21 }}, {{val| 0 29 4 69 74 }}] | |||
POTE generator: ~44/35 = 396.644 | |||
Vals: {{Val list| 118, 239, 357, 596 }} | |||
Badness: 0.038186 | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||