Cathartic scales: Difference between revisions
Another two proven to be Fokker blocks, and remove the non-Fokker-block scale |
m FloraC moved page Canou scales to Cathartic scales: Rename (see talk at Cathartic family) |
||
| (12 intermediate revisions by 5 users not shown) | |||
| Line 1: | Line 1: | ||
This page lists scales of [[ | This page lists scales of the [[cathartic]] temperament, the rank-3 temperament that tempers out the [[cathartic comma]], 4802000/4782969 = {{monzo|4 -14 3 4}}. | ||
== | == Cathartic[9] == | ||
A 9-note Fokker block for | A 9-note Fokker block for cathartic temperament. | ||
sLsLLsLsM | sLsLLsLsM | ||
| Line 12: | Line 12: | ||
7-limit transversal: 28/27, 81/70, 6/5, 980/729, 3/2, 14/9, 243/140, 9/5, 2/1. | 7-limit transversal: 28/27, 81/70, 6/5, 980/729, 3/2, 14/9, 243/140, 9/5, 2/1. | ||
Tunings in [[80edo]] (a simple, distinctive tuning) and [[410edo]] (an intricate, accurate tuning) will be presented. | |||
In 80edo: 4, 17, 21, 34, 47, 51, 64, 68, 80. | |||
<pre> | <pre> | ||
! | ! cathartic9-80.scl | ||
! Created using Scale Workshop 1.0.4 | ! Created using Scale Workshop 1.0.4 | ||
! | ! | ||
Cathartic[9] in 80edo | |||
9 | 9 | ||
! | ! | ||
| Line 32: | Line 34: | ||
</pre> | </pre> | ||
In | In 410edo: 21, 87, 108, 174, 240, 261, 327, 348, 410. | ||
<pre> | <pre> | ||
! | ! cathartic9-410.scl | ||
! Created using Scale Workshop 1.0.4 | ! Created using Scale Workshop 1.0.4 | ||
! | ! | ||
Cathartic[9] in 410edo | |||
9 | 9 | ||
! | ! | ||
| Line 56: | Line 58: | ||
* LsLsMsLsL (symmetric 5th mode) | * LsLsMsLsL (symmetric 5th mode) | ||
== | == Semicathart[10] == | ||
This is rank-2 | This is a rank-2 scale without the second generator being used, documented for it has some good ratios. | ||
LsLss-LsLss | LsLss-LsLss | ||
| Line 69: | Line 71: | ||
Period 1: 14/9, 18/11, 9/5, 154/81, 2/1. | Period 1: 14/9, 18/11, 9/5, 154/81, 2/1. | ||
== | == Cathartic[14] == | ||
A 14-note Fokker block for | A 14-note Fokker block for the cathartic temperament. | ||
sLssLsLssLssMs | sLssLsLssLssMs | ||
| Line 83: | Line 85: | ||
<pre> | <pre> | ||
! | ! cathartic14-80.scl | ||
! Created using Scale Workshop 1.0.4 | ! Created using Scale Workshop 1.0.4 | ||
! | ! | ||
Cathartic[14] in 80edo | |||
14 | 14 | ||
! | ! | ||
| Line 108: | Line 110: | ||
<pre> | <pre> | ||
! | ! cathartic14-410.scl | ||
! Created using Scale Workshop 1.0.4 | ! Created using Scale Workshop 1.0.4 | ||
! | ! | ||
Cathartic[14] in 410edo | |||
14 | 14 | ||
! | ! | ||
| Line 133: | Line 135: | ||
* LsLssLssMssLss (major-ish 5th mode) | * LsLssLssMssLss (major-ish 5th mode) | ||
== | == Semicathart[14] == | ||
=== | === Semicathart[14-a] === | ||
A 14-note Fokker block for | A 14-note Fokker block for the semicathart temperament. | ||
LsmLsmm-LsmLsmm | LsmLsmm-LsmLsmm | ||
| Line 157: | Line 159: | ||
In 198edo: 17, 27, 42, 59, 69, 84, 99, 116, 126, 141, 158, 168, 183, 198. | In 198edo: 17, 27, 42, 59, 69, 84, 99, 116, 126, 141, 158, 168, 183, 198. | ||
=== | === Semicathart[14-b] === | ||
This is the inversion of | This is the inversion of Semicathart[14-a]. | ||
sLmsLmm-sLmsLmm | sLmsLmm-sLmsLmm | ||
| Line 180: | Line 182: | ||
In 198edo: 10, 27, 42, 52, 69, 84, 99, 108, 126, 141, 151, 168, 183, 198. | In 198edo: 10, 27, 42, 52, 69, 84, 99, 108, 126, 141, 151, 168, 183, 198. | ||
== | == Cathartic[19] == | ||
mLmmmLmmLmmmLmmmsmm | mLmmmLmmLmmmLmmmsmm | ||
| Line 193: | Line 195: | ||
<pre> | <pre> | ||
! | ! cathartic19-410.scl | ||
! Created using Scale Workshop 1.0.4 | ! Created using Scale Workshop 1.0.4 | ||
! | ! | ||
Cathartic[19] in 410edo | |||
19 | 19 | ||
! | ! | ||
| Line 220: | Line 222: | ||
</pre> | </pre> | ||
[[Category: | [[Category:9-tone scales]] | ||
[[Category: | [[Category:10-tone scales]] | ||
[[Category:14-tone scales]] | |||
[[Category:19-tone scales]] | |||
[[Category:Tempered scales]] | |||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Cathartic]] | |||
[[Category:Pages with Scala files]] | |||