Subgroup temperaments: Difference between revisions

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= Integer subgroup temperaments =

== 2.3.23 subgroup ==

=== Lipsett ===

Lipsett temperament is a pleasantly melodic little temperament with a highly useable 5-tone and 9-tone MOS. It is audibly indistinguishable from Semaphore temperament, it could be thought of as Semaphore but for the 23rd harmonic instead of the 7th. It is named for Arthur Lipsett, the director off the Canadian short film ’21-87’. Leia’s prison cell in Star Wars is numbered ‘2187’, as a nod to the influence the film had on George Lucas.

Subgroup: 2.3.23

Comma list: [[2187/2116]]

Optimal tuning ([[TE]]): 2/1 = 1200.5469, ~27/23 = 251.9737

[[Support]]ing [[ET]]s: {{EDOs|1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 14, 15, 19, 24, 29, 33, 38}}

== 2.3.35 subgroup ==

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== 8.9.7 subgroup ==

=== Sixscared ===

Approximating the harmonics 7, 8, 9, Sixscared is named for the classic dad joke: "Why was six scared? Because seven ate nine." This is a tuning which still maintains some consonance, while eviscerating the rules of conventional 12-tone harmony. Perfect fourths and fifths? You won't find them here. Major and minor thirds and sixths? Not round these parts. Octaves? There is one down the road, but it's a few days' drive away. You're going to have to lean on the xen seventh harmonic to carry this tuning on its back.

[[Subgroup]]: 8.9.7

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: [[gencom]]: [8 9/8; 64/63]

[[Optimal tuning]] ([[CTE]]): ~8 = ~~3\1~~, ~9/8 = 219.1898

[[Optimal tuning]] ([[CTE]]): 1\[[3ed8]] = 1600.0, ~9/8 = 219.1898

[[Optimal ET sequence]]: {{val| 16 17 15 }}, {{val| 33 35 31 }}, {{val| 148 … }}, {{val| 181 … }}, {{val| 214 … }}, {{val| 247 … }}

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=== Hydrothermal ===

A tuning whose distinctively sharp (but still consonant) fifth, and flat (but still consonant) octave, lend it a mysterious, heavy atmosphere. The 6-tone (hexatonic) MOS is melodically interesting and flavorful. The 18-tone MOS is a useful 'chromatic' scale for taking subsets of.

[[Subgroup]]: 2.3.7/5

@@ Line 11: / Line 11: @@
 = Integer subgroup temperaments =
+== 2.3.23  subgroup ==
+=== Lipsett ===
+Lipsett temperament is a pleasantly melodic little temperament with a highly useable 5-tone and 9-tone MOS. It is audibly indistinguishable from Semaphore temperament, it could be thought of as Semaphore but for the 23rd harmonic instead of the 7th. It is named for Arthur Lipsett, the director off the Canadian short film ’21-87’. Leia’s prison cell in Star Wars is numbered ‘2187’, as a nod to the influence the film had on George Lucas.
+Subgroup: 2.3.23
+Comma list: [[2187/2116]]
+{{Mapping|legend=2| 1 2 6 | 0 -2 -7 }}
+Optimal tuning ([[TE]]): 2/1 = 1200.5469, ~27/23 = 251.9737
+[[Support]]ing [[ET]]s: {{EDOs|1, 2, 3, 4, 5, 6, 8, 9, 10, 13, 14, 15, 19, 24, 29, 33, 38}}
 == 2.3.35 subgroup ==
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 == 8.9.7 subgroup ==
 === Sixscared ===
+Approximating the harmonics 7, 8, 9, Sixscared is named for the classic dad joke: "Why was six scared? Because seven ate nine." This is a tuning which still maintains some consonance, while eviscerating the rules of conventional 12-tone harmony. Perfect fourths and fifths? You won't find them here. Major and minor thirds and sixths? Not round these parts. Octaves? There is one down the road, but it's a few days' drive away. You're going to have to lean on the xen seventh harmonic to carry this tuning on its back.
 [[Subgroup]]: 8.9.7
@@ Line 506: / Line 523: @@
 : [[gencom]]: [8 9/8; 64/63]
-[[Optimal tuning]] ([[CTE]]): ~8 = 3\1, ~9/8 = 219.1898
+[[Optimal tuning]] ([[CTE]]): 1\[[3ed8]] = 1600.0, ~9/8 = 219.1898
 [[Optimal ET sequence]]: {{val| 16 17 15 }}, {{val| 33 35 31 }}, {{val| 148 … }}, {{val| 181 … }}, {{val| 214 … }}, {{val| 247 … }}
@@ Line 517: / Line 534: @@
 === Hydrothermal ===
+A tuning whose distinctively sharp (but still consonant) fifth, and flat (but still consonant) octave, lend it a mysterious, heavy atmosphere. The 6-tone (hexatonic) MOS is melodically interesting and flavorful. The 18-tone MOS is a useful 'chromatic' scale for taking subsets of.
 [[Subgroup]]: 2.3.7/5