Sengic temperaments: Difference between revisions

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This ~~is a collection of~~ [[rank-2 temperament|rank-2]] '''sengic temperaments''', which [[tempering out|temper out]] the [[senga]] ({{monzo|legend=1| 1 -3 -2 3 }}, [[ratio]]: 686/675), with [[S-expression]] S13⋅S14<sup>2</sup>.

This page collects [[rank-2 temperament|rank-2]] '''sengic temperaments''', which [[tempering out|temper out]] the [[senga]] ({{monzo|legend=1| 1 -3 -2 3 }}, [[ratio]]: 686/675), with [[S-expression]] S13⋅S14<sup>2</sup>. For the family of [[rank-3 temperament]]s, see [[Sengic family]].

Temperaments discussed elsewhere are:

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* ''[[Niner]]'' (+128/125) → [[Augmented family #Niner|Augmented family]]

* ''[[Ammonite]]'' (+250/243) → [[Porcupine family #Ammonite|Porcupine family]]

* ''[[Sengasec]]'' (+16807/16384) → [[Quintosec family #Sengasec|Quintosec family]]

* ''[[Sycamore]]'' (+875/864) → [[Sycamore family #Septimal sycamore|Sycamore family]]

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Comma list: 121/120, 441/440, 686/675

~~Mapping:~~ {{~~mapping~~| 1 0 -31 -21 -14 | 0 1 21 15 11 }}

Optimal tunings:

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Comma list: 91/90, 121/120, 169/168, 352/351

~~Mapping:~~ {{~~mapping~~| 1 0 -31 -21 -14 -9 | 0 1 21 15 11 8 }}

Optimal tunings:

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Comma list: 91/90, 121/120, 136/135, 154/153, 169/168

~~Mapping:~~ {{~~mapping~~| 1 0 -31 -21 -14 -9 -34 | 0 1 21 15 11 8 24 }}

{{Mapping|legend=0| 1 0 -31 -21 -14 -9 -34 | 0 1 21 15 11 8 24 }}

Optimal tunings:

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Comma list: 91/90, 121/120, 136/135, 154/153, 161/160, 169/168

~~Mapping:~~ {{~~mapping~~| 1 0 -31 -21 -14 -9 -34 -5 | 0 1 21 15 11 8 24 6 }}

{{Mapping|legend=0| 1 0 -31 -21 -14 -9 -34 -5 | 0 1 21 15 11 8 24 6 }}

Optimal tunings:

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Comma list: 121/120, 176/175, 686/675

~~Mapping:~~ {{~~mapping~~| 1 -10 5 -7 -1 | 0 13 -3 11 5 }}

Optimal tunings:

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Comma list: 91/90, 121/120, 169/168, 176/175

~~Mapping:~~ {{~~mapping~~| 1 -10 5 -7 -1 -7 | 0 13 -3 11 5 12 }}

Optimal tunings:

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[[Category:Sengic temperaments| ]]

[[Category:Sengic| ]]

[[Category:Temperament collections]]

[[Category:Catalogs of rank-2 temperaments]]

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 {{Technical data page}}
-This is a collection of [[rank-2 temperament|rank-2]] '''sengic temperaments''', which [[tempering out|temper out]] the [[senga]] ({{monzo|legend=1| 1 -3 -2 3 }}, [[ratio]]: 686/675), with [[S-expression]] S13⋅S14<sup>2</sup>.
+This page collects [[rank-2 temperament|rank-2]] '''sengic temperaments''', which [[tempering out|temper out]] the [[senga]] ({{monzo|legend=1| 1 -3 -2 3 }}, [[ratio]]: 686/675), with [[S-expression]] S13⋅S14<sup>2</sup>. For the family of [[rank-3 temperament]]s, see [[Sengic family]].
 Temperaments discussed elsewhere are:
@@ Line 14: / Line 14: @@
 * ''[[Niner]]'' (+128/125) → [[Augmented family #Niner|Augmented family]]
 * ''[[Ammonite]]'' (+250/243) → [[Porcupine family #Ammonite|Porcupine family]]
+* ''[[Sengasec]]'' (+16807/16384) → [[Quintosec family #Sengasec|Quintosec family]]
 * ''[[Sycamore]]'' (+875/864) → [[Sycamore family #Septimal sycamore|Sycamore family]]
@@ Line 50: / Line 51: @@
 Comma list: 121/120, 441/440, 686/675
-Mapping: {{mapping| 1 0 -31 -21 -14 | 0 1 21 15 11 }}
+{{Mapping|legend=0| 1 0 -31 -21 -14 | 0 1 21 15 11 }}
 Optimal tunings:
@@ Line 65: / Line 66: @@
 Comma list: 91/90, 121/120, 169/168, 352/351
-Mapping: {{mapping| 1 0 -31 -21 -14 -9 | 0 1 21 15 11 8 }}
+{{Mapping|legend=0| 1 0 -31 -21 -14 -9 | 0 1 21 15 11 8 }}
 Optimal tunings:
@@ Line 80: / Line 81: @@
 Comma list: 91/90, 121/120, 136/135, 154/153, 169/168
-Mapping: {{mapping| 1 0 -31 -21 -14 -9 -34 | 0 1 21 15 11 8 24 }}
+{{Mapping|legend=0| 1 0 -31 -21 -14 -9 -34 | 0 1 21 15 11 8 24 }}
 Optimal tunings:
@@ Line 95: / Line 96: @@
 Comma list: 91/90, 121/120, 136/135, 154/153, 161/160, 169/168
-Mapping: {{mapping| 1 0 -31 -21 -14 -9 -34 -5 | 0 1 21 15 11 8 24 6 }}
+{{Mapping|legend=0| 1 0 -31 -21 -14 -9 -34 -5 | 0 1 21 15 11 8 24 6 }}
 Optimal tunings:
@@ Line 130: / Line 131: @@
 Comma list: 121/120, 176/175, 686/675
-Mapping: {{mapping| 1 -10 5 -7 -1 | 0 13 -3 11 5 }}
+{{Mapping|legend=0| 1 -10 5 -7 -1 | 0 13 -3 11 5 }}
 Optimal tunings:
@@ Line 145: / Line 146: @@
 Comma list: 91/90, 121/120, 169/168, 176/175
-Mapping: {{mapping| 1 -10 5 -7 -1 -7 | 0 13 -3 11 5 12 }}
+{{Mapping|legend=0| 1 -10 5 -7 -1 -7 | 0 13 -3 11 5 12 }}
 Optimal tunings:
@@ Line 156: / Line 157: @@
 [[Category:Sengic temperaments| ]] <!-- main article -->
+[[Category:Sengic| ]] <!-- key article -->
 [[Category:Temperament collections]]
 [[Category:Catalogs of rank-2 temperaments]]

Sengic temperaments: Difference between revisions

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