Subgroup temperaments: Difference between revisions

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[[Support]]ing [[ET]]s: {{Optimal ET sequence|47, 65f, 112, 159, 206, 253}}

=== ~~Baldi~~ ===

=== Baldy ===

~~Baldi~~ results from taking every other generator of the [[garibaldi]] temperament. One of the best extension is 2.9.5.7.13 subgroup with mapping 13/8 to +10 whole tones, as well as the cassandra temperament.

Baldy results from taking every other generator of the [[garibaldi]] temperament. One of the best extension is 2.9.5.7.13 subgroup with mapping 13/8 to +10 whole tones, as well as the cassandra temperament.

[[Subgroup]]: 2.9.5.7

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===== Sburb =====

This temperament sets the 413th harmonic (~~octave-reduced~~) to the diminished seventh.

This temperament sets the [[octave reduction|octave-reduced]] 413th harmonic (413/256, 827.998{{c}}) to the diminished seventh.

Subgroup: 2.3.7.23.25.41.59

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=== Novisept ===

Novisept is generated by a one-cent-flat 9/7, such that stacking 5 of them gives you 7/4.

Novisept is generated by a one-cent-flat 9/7, such that stacking 5 of them gives you 7/4. It can be formed by doubling both generator and period of [[gizzard]].

[[Subgroup]]: 2.9.7.13.17

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[[Optimal tuning]] ([[CWE]]): ~2 = 1\1, ~9/7 = 433.836

Badness (Dirichlet): 0.142

== 2.9.11 subgroup ==

@@ Line 71: / Line 71: @@
 [[Support]]ing [[ET]]s: {{Optimal ET sequence|47, 65f, 112, 159, 206, 253}}
-=== Baldi ===
+=== Baldy ===
 {{See also|Schismatic family #Garibaldi}}
 {{See also|No-threes subgroup temperaments #Frostburn}}
-Baldi results from taking every other generator of the [[garibaldi]] temperament. One of the best extension is 2.9.5.7.13 subgroup with mapping 13/8 to +10 whole tones, as well as the cassandra temperament.
+Baldy results from taking every other generator of the [[garibaldi]] temperament. One of the best extension is 2.9.5.7.13 subgroup with mapping 13/8 to +10 whole tones, as well as the cassandra temperament.
 [[Subgroup]]: 2.9.5.7
@@ Line 165: / Line 165: @@
 ===== Sburb =====
-This temperament sets the 413th harmonic (octave-reduced) to the diminished seventh.
+This temperament sets the [[octave reduction|octave-reduced]] 413th harmonic (413/256, 827.998{{c}}) to the diminished seventh.
 Subgroup: 2.3.7.23.25.41.59
@@ Line 317: / Line 317: @@
 === Novisept ===
-Novisept is generated by a one-cent-flat 9/7, such that stacking 5 of them gives you 7/4.
+Novisept is generated by a one-cent-flat 9/7, such that stacking 5 of them gives you 7/4. It can be formed by doubling both generator and period of [[gizzard]].
 [[Subgroup]]: 2.9.7.13.17
@@ Line 326: / Line 326: @@
 [[Optimal tuning]] ([[CWE]]): ~2 = 1\1, ~9/7 = 433.836
+Badness (Dirichlet): 0.142
 == 2.9.11 subgroup ==