2.3.7.11.13 subgroup

The 2.3.7.11.13 subgroup (zalatha in color notation) is a just intonation subgroup where 2, 3, 7, 11, and 13 are the only allowable prime factors, so that every such interval may be written as a ratio of integers which are products of 2, 3, 7, and 11. This is an infinite set and still infinite even if we restrict consideration to a single octave. Some examples within the octave include 3/2, 7/4, 14/11, 13/11, and so on.

It is an extension of the 2.3.7.11 subgroup. Notably, it is the subgroup of the parapyth temperament tempering out the commas 352/351, 364/363, and 896/891, which maps 14/11 to the diatonic major third and 13/11 to the diatonic minor third.

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