Skwares comma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 19683/19208 | | Ratio = 19683/19208 | ||
| Name = skwares comma | | Name = skwares comma, skwaresma | ||
| Color name = Laquadru comma | | Color name = Laquadru comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''19683/19208''', the '''skwares comma''', is a [[7-limit]] and [[2.3.7 subgroup]] comma of about 42 cents. It can be defined as the difference between a perfect eleventh ([[8/3]]) and a stack of four [[9/7]] supermajor thirds. In the [[2.3.7.11 subgroup]], it decomposes into ([[99/98]])<sup>2</sup> × [[243/242]], and in the full [[7-limit]], it decomposes as ([[81/80]])<sup>2</sup>/([[2401/2400]]). | '''19683/19208''', the '''skwares comma''' or '''skwaresma''', is a [[7-limit]] and [[2.3.7 subgroup]] comma of about 42 cents. It can be defined as the difference between a perfect eleventh ([[8/3]]) and a stack of four [[9/7]] supermajor thirds. In the [[2.3.7.11 subgroup]], it decomposes into ([[99/98]])<sup>2</sup> × [[243/242]], and in the full [[7-limit]], it decomposes as ([[81/80]])<sup>2</sup>/([[2401/2400]]). | ||
In the 2.3.7 subgroup, this comma defines '''skwares''' temperament, whose obvious extensions to primes 5 ([[squares]]) and 11 are dictated by the above decompositions. | In the 2.3.7 subgroup, this comma defines '''skwares''' temperament, whose obvious extensions to primes 5 ([[squares]]) and 11 are dictated by the above decompositions. | ||
Latest revision as of 15:58, 11 June 2025
| Interval information |
skwaresma
19683/19208, the skwares comma or skwaresma, is a 7-limit and 2.3.7 subgroup comma of about 42 cents. It can be defined as the difference between a perfect eleventh (8/3) and a stack of four 9/7 supermajor thirds. In the 2.3.7.11 subgroup, it decomposes into (99/98)2 × 243/242, and in the full 7-limit, it decomposes as (81/80)2/(2401/2400).
In the 2.3.7 subgroup, this comma defines skwares temperament, whose obvious extensions to primes 5 (squares) and 11 are dictated by the above decompositions.