Squares
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Squares is the rank-2 regular temperament tempering out the syntonic comma, 81/80, and the breedsma, 2401/2400. It has a ~9/7 generator, four of which make a perfect twelfth. Skwares is the no-5 subgroup version of this temperament.
See Meantone family #Squares and Subgroup temperaments #Skwares for more technical data.
Interval chain
In the following table, prime harmonics are labeled in bold.
# | Cents * | Approximate Ratios | |||
---|---|---|---|---|---|
11-limit | 13-limit Extension | ||||
Squares | Squad | Agora | |||
0 | 0.0 | 1/1 | |||
1 | 425.6 | 9/7, 14/11 | 13/10 | ||
2 | 851.2 | 18/11, 33/20, 44/27 | 13/8 | 21/13 | |
3 | 76.8 | 21/20, 28/27 | 27/26 | ||
4 | 502.4 | 4/3 | |||
5 | 928.0 | 12/7 | 22/13, 26/15 | ||
6 | 153.6 | 11/10, 12/11 | 13/12 | 14/13 | |
7 | 579.2 | 7/5 | 18/13 | ||
8 | 1004.8 | 9/5, 16/9 | |||
9 | 230.4 | 8/7 | 15/13 | ||
10 | 656.0 | 16/11, 22/15 | 13/9 | ||
11 | 1081.6 | 28/15 | 13/7 | 24/13 | |
12 | 307.2 | 6/5 | 13/11 | ||
13 | 732.8 | 32/21 | 20/13 | ||
14 | 1158.4 | 49/25, 64/33, 96/49 | 52/27 | ||
15 | 384.0 | 56/45 | 26/21 | 16/13 | |
16 | 809.6 | 8/5 | 21/13 | ||
17 | 35.2 | 36/35, 64/63 |
* in 11-limit CTE tuning