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| == Squarschmidt == | | == 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 {{nowrap| 118 & 239 }} temperament, tempering out the hemimage comma and quasiorwellisma, 29360128/29296875 in the 7-limit. In the 11-limit, it tempers out 3025/3024, 5632/5625, and 12005/11979, and the generator represents ~44/35.
| | : ''For the 5-limit version, see [[Father–3 equivalence continuum #Squarschmidt (5-limit)]].'' |
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| [[Subgroup]]: 2.3.5
| | Squarschimidt may be described as {{nowrap| 118 & 121 }} temperament. The extension here is a less accurate 7-limit interpretation, tempering out the hemimage comma and quasiorwellisma, 29360128/29296875. In the 11-limit, it tempers out 3025/3024, 5632/5625, and 12005/11979, and the generator represents ~44/35. |
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| [[Comma list]]: {{monzo| 61 4 -29 }}
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| {{Mapping|legend=1| 1 -8 1 | 0 29 4 }}
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| : mapping generators: ~2, ~98304/78125
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| [[Optimal tuning]]s:
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| * [[WE]]: ~2 = 1199.9653{{c}}, ~98304/78125 = 396.6094{{c}}
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| : [[error map]]: {{val| -0.099 +0.543 +0.029 -0.719 }}
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| * [[CWE]]: ~2 = 1200.0000{{c}}, ~98304/78125 = 396.6201{{c}}
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| : error map: {{val| 0.000 +0.653 +0.253 -0.552 }}
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| {{Optimal ET sequence|legend=1| 118, 593, 711, 829, 947, 9588cc, 10535cc, 11482ccc }}
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| [[Badness]] (Sintel): 5.12
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| === 7-limit === | | === 7-limit === |