User:Iii kaisei iii/Rin

Here, I am taking notes on my research into the tuning used for tempering out the Rin comma, 1977326743/1953125000 = [-3 0 -12 11⟩.

Rin is a Rank-3 temperament in which the 5- and 7-prime directions lie unusually close to each other. However, they coincide only after a relatively long relation: eleven steps of 7 correspond to twelve steps of 5 plus three octaves. As a result, the cycles associated with 5 and 7 are relatively long.

Rin[12]

Tempering out the Rin comma, with a 12-note Fokker block

LsLsLMsLsLsM(Diachrome)

In 465edo: 47, 79, 126, 158, 205, 240, 272, 319, 351, 398, 430, 465.

! Rin[12].scl
! Created using Scale Workshop 2.5.7
!
Rin[12] in 465edo
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