Iii kaisei iii: Created page with "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] == Temper..."

2026-07-12T07:54:06Z

Created page with "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] == Temper..."

New page

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.

<pre>
! Rin[12].scl
! Created using Scale Workshop 2.5.7
!
Rin[12] in 465edo
12
!
121.290323
203.870968
325.161290
407.741935
529.032258
619.354839
701.935484
823.225806
905.806452
1027.096774
1109.677419
2/1

</pre>

User:Iii kaisei iii/Rin - Revision history