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

Scales

Music