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Bird's eye view of temperaments by accuracy: Difference between revisions

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m add generator tunings for flattone
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link all instances of "note count" to the explainer so u cant miss it
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== 5-limit focus ==
== 5-limit focus ==
=== [[Schismic]] ===
=== [[Schismic]] ===
Note count: 12 for {3, 5, 9, 15, 27, 45(, 81)} ([[5L 7s]] or [[12L 5s]])
[[#Note counts|Note count]]: 12 for {3, 5, 9, 15, 27, 45(, 81)} ([[5L 7s]] or [[12L 5s]])


[[#Generator tunings|Generator tunings]]: 31\53, 69\118, 100\171, 131\224
[[#Generator tunings|Generator tunings]]: 31\53, 69\118, 100\171, 131\224
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== 5-limit focus ==
== 5-limit focus ==
=== [[Cata]] ===
=== [[Cata]] ===
Note count: 15 for {3, 5, 9, 13, 15, 25} ([[4L 7s]])
[[#Note counts|Note count]]: 15 for {3, 5, 9, 13, 15, 25} ([[4L 7s]])


[[#Generator tunings|Generator tunings]]: 9\34, 14\53, 23\87, 37\140
[[#Generator tunings|Generator tunings]]: 9\34, 14\53, 23\87, 37\140
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=== [[Sensipent]] ===
=== [[Sensipent]] ===
Note counts:
[[#Note counts|Note counts]]:
* 10 for {3, 5, 31} ([[8L 3s]])
* 10 for {3, 5, 31} ([[8L 3s]])
* 19 for adding {9, 15, 25} ([[8L 11s]])
* 19 for adding {9, 15, 25} ([[8L 11s]])
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=== [[Würschmidt]] ===
=== [[Würschmidt]] ===
Note counts:
[[#Note counts|Note counts]]:
* 10 for {3, 5, 15, 25, 125} ([[3L 7s]])
* 10 for {3, 5, 15, 25, 125} ([[3L 7s]])
* 18 for adding {9, 23, 45, 75, 115} ([[3L 16s]])
* 18 for adding {9, 23, 45, 75, 115} ([[3L 16s]])
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== 7-limit focus ==
== 7-limit focus ==
=== [[Garibaldi]] ===
=== [[Garibaldi]] ===
Note count: 18 for {3, 5, 7, 9, 15, 21, 27, 35, 45} ([[12L 5s]] or [[12L 17s]])
[[#Note counts|Note count]]: 18 for {3, 5, 7, 9, 15, 21, 27, 35, 45} ([[12L 5s]] or [[12L 17s]])


Bound-violating intervals: [[7/5]], [[21/20]], [[15/14]] (all derived from contrasting odd 7 (sharp) and 5 (flat))
Bound-violating intervals: [[7/5]], [[21/20]], [[15/14]] (all derived from contrasting odd 7 (sharp) and 5 (flat))
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== 11-limit focus ==
== 11-limit focus ==
=== [[Miracle]] ===
=== [[Miracle]] ===
Note count: 23 for {3, 5, 7, 9, 11, 15, 21} ([[10L 11s]] or [[10L 21s]])
[[#Note counts|Note count]]: 23 for {3, 5, 7, 9, 11, 15, 21} ([[10L 11s]] or [[10L 21s]])


[[#Generator tunings|Generator tunings]]: 3\31, 4\41, 7\72
[[#Generator tunings|Generator tunings]]: 3\31, 4\41, 7\72
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== ~17-limit focus ==
== ~17-limit focus ==
=== [[Buzzard]] ===
=== [[Buzzard]] ===
Note counts:
[[#Note counts|Note counts]]:
* 31 for {3, 5, ''7'', 9, 13, 15, (19*,) ''21'', 27, ''35''(, 81)} ([[5L 28s]])
* 31 for {3, 5, ''7'', 9, 13, 15, (19*,) ''21'', 27, ''35''(, 81)} ([[5L 28s]])
* 47 for {3, 5, ''7'', 9, 11, 13, 15, 19*, ''21'', 27, 33, ''35'', 39(, 81)} (5L 43s (minimum) or 53L 5s)
* 47 for {3, 5, ''7'', 9, 11, 13, 15, 19*, ''21'', 27, 33, ''35'', 39(, 81)} (5L 43s (minimum) or 53L 5s)
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=== [[Sendai]] ===
=== [[Sendai]] ===
{{ See also | Sensipent#Sendai interval table }}
{{ See also | Sensipent#Sendai interval table }}
Note counts:
[[#Note counts|Note counts]]:
* 13 for {3, 5, 23, 31, 69, 115} ([[8L 11s]])
* 13 for {3, 5, 23, 31, 69, 115} ([[8L 11s]])
* 29 for adding {9, 15, 25, 29, 87, 145} ([[19L 8s]])
* 29 for adding {9, 15, 25, 29, 87, 145} ([[19L 8s]])
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== 5-limit focus ==
== 5-limit focus ==
=== [[Meantone]] ===
=== [[Meantone]] ===
Note count: 5 for {1, 3, 5}
[[#Note counts|Note count]]: 5 for {1, 3, 5}


[[#Generator tunings|Generator tunings]]: 11\19, 18\31, 29\50
[[#Generator tunings|Generator tunings]]: 11\19, 18\31, 29\50
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=== [[Srutal archagall]] ===
=== [[Srutal archagall]] ===
Note counts:
[[#Note counts|Note counts]]:
* 10 for {3, 5, 9, 15, 17} ([[2L 8s]])
* 10 for {3, 5, 9, 15, 17} ([[2L 8s]])
* 12 for adding {25} ([[10L 2s]])
* 12 for adding {25} ([[10L 2s]])
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== 7-limit focus ==
== 7-limit focus ==
=== [[Septimal meantone]] ===
=== [[Septimal meantone]] ===
Note count: 11 for {3, 5, 7, 9, 15, 21, 25} ([[7L 5s]], [[12L 7s]])
[[#Note counts|Note count]]: 11 for {3, 5, 7, 9, 15, 21, 25} ([[7L 5s]], [[12L 7s]])


Bound-violating intervals: [[9/8]], [[10/9]], [[36/25]] (none if odd 9 is omitted)
Bound-violating intervals: [[9/8]], [[10/9]], [[36/25]] (none if odd 9 is omitted)
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=== [[Mothra]] ===
=== [[Mothra]] ===
Note count: 14 for {3, 5, 7, 9, 21, 35, 49} ([[5L 11s]], or [[5L 16s]] for odd 15)
[[#Note counts|Note count]]: 14 for {3, 5, 7, 9, 21, 35, 49} ([[5L 11s]], or [[5L 16s]] for odd 15)


Bound-violating intervals: [[9/8]], [[10/9]] (none in [[7-odd-limit]] or if 9 is omitted)
Bound-violating intervals: [[9/8]], [[10/9]] (none in [[7-odd-limit]] or if 9 is omitted)
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=== [[Echidna]] ===
=== [[Echidna]] ===
Note counts:
[[#Note counts|Note counts]]:
* 24 for {3, 5, 7, 11, 15, 17, 33} ([[14L 8s]])
* 24 for {3, 5, 7, 11, 15, 17, 33} ([[14L 8s]])
* 26 for adding {9} (14L 8s or 22L 14s)
* 26 for adding {9} (14L 8s or 22L 14s)
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=== [[Catakleismic]] ===
=== [[Catakleismic]] ===
Note counts:
[[#Note counts|Note counts]]:
* 23 for {3, 5, 7, 9, 13, 15, 25, 27, 39, 45, 65, 75(, 125)} ([[15L 4s]] or 19L 15s)
* 23 for {3, 5, 7, 9, 13, 15, 25, 27, 39, 45, 65, 75(, 125)} ([[15L 4s]] or 19L 15s)
* 29 for adding {21, 35, 63} (19L 15s)
* 29 for adding {21, 35, 63} (19L 15s)
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=== [[Diaschismic]] ===
=== [[Diaschismic]] ===
Note count: 36 for {3, 5, 7, 9, 11, 13, 15, 17, 21, 25, 33, 35, 39, 51} (12L 22s)
[[#Note counts|Note count]]: 36 for {3, 5, 7, 9, 11, 13, 15, 17, 21, 25, 33, 35, 39, 51} (12L 22s)


[[#Generator tunings|Generator tunings]]: (27\46, 1\2), (34\58, 1\2), (61\104, 1\2)
[[#Generator tunings|Generator tunings]]: (27\46, 1\2), (34\58, 1\2), (61\104, 1\2)
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{{ See also | Sensipent#Sensible interval table }}
{{ See also | Sensipent#Sensible interval table }}


Note counts:
[[#Note counts|Note counts]]:
* 26 for {3, 5, 11, 17, 23, 31, 33, 51, 55, 69, 85, 99(, 115)} ([[19L 8s]])
* 26 for {3, 5, 11, 17, 23, 31, 33, 51, 55, 69, 85, 99(, 115)} ([[19L 8s]])
* 35 for adding {9, 15, 25, 93(, 155)} ([[19L 8s]] or 19L 27s)
* 35 for adding {9, 15, 25, 93(, 155)} ([[19L 8s]] or 19L 27s)
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=== [[Srutal]] ===
=== [[Srutal]] ===
Note count: 36 for {3, 5, 7, 9, 11, 13, 15, 17, 23, 33, 35, 51} (12L 22s)
[[#Note counts|Note count]]: 36 for {3, 5, 7, 9, 11, 13, 15, 17, 23, 33, 35, 51} (12L 22s)


Bound-violating intervals: [[13/9]]
Bound-violating intervals: [[13/9]]
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== No-3's focus ==
== No-3's focus ==
=== [[Didacus]] ===
=== [[Didacus]] ===
Note counts:
[[#Note counts|Note counts]]:
* 10 for {5, 7, 11, 25, 35, 55} ([[6L 7s]])  
* 10 for {5, 7, 11, 25, 35, 55} ([[6L 7s]])  
* 15 for {5, 7, 11, 25, 35, 49, 55, 77} ([[6L 13s]])
* 15 for {5, 7, 11, 25, 35, 49, 55, 77} ([[6L 13s]])
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=== [[Mediantone]] ===
=== [[Mediantone]] ===
Note count: 29 for {5, 7, 11, 13, 17, 19, 25, 55, 65, 91} ([[6L 25s]])
[[#Note counts|Note count]]: 29 for {5, 7, 11, 13, 17, 19, 25, 55, 65, 91} ([[6L 25s]])


Bound-violating intervals: [[25/17]], [[28/17]], [[55/34]] (all intervals of 17; note odd 35 can be added but is high error)
Bound-violating intervals: [[25/17]], [[28/17]], [[55/34]] (all intervals of 17; note odd 35 can be added but is high error)
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== No-5's focus ==
== No-5's focus ==
=== 2.3.7 [[Buzzard]] ===
=== 2.3.7 [[Buzzard]] ===
Note counts:
[[#Note counts|Note counts]]:
* 8 for {3, 7, 21} ([[5L 3s]])
* 8 for {3, 7, 21} ([[5L 3s]])
* 12 for {3, 7, 9, 21} ([[5L 8s]])
* 12 for {3, 7, 9, 21} ([[5L 8s]])
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== 7-limit focus ==
== 7-limit focus ==
=== [[Superpyth]] ===
=== [[Superpyth]] ===
Note counts:
[[#Note counts|Note counts]]:
* 4 for {3, 7} ([[2L 3s]])
* 4 for {3, 7} ([[2L 3s]])
* 12 for {3, 5, 7, 9} ([[5L 7s]] and [[5L 12s]])
* 12 for {3, 5, 7, 9} ([[5L 7s]] and [[5L 12s]])
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== 11-limit focus ==
== 11-limit focus ==
=== [[Mohaha]] ===
=== [[Mohaha]] ===
Note counts:
[[#Note counts|Note counts]]:
* 9 for {3, 5, 9, 11(, 33, 35)} ([[7L 3s]], note odd 35 comes from the [[mohajira]] mapping of 7 specifically)
* 9 for {3, 5, 9, 11(, 33, 35)} ([[7L 3s]], note odd 35 comes from the [[mohajira]] mapping of 7 specifically)
* 20 or 23 for adding {7, 15, 21(, 35)} ([[7L 10s]] and [[7L 17s]])
* 20 or 23 for adding {7, 15, 21(, 35)} ([[7L 10s]] and [[7L 17s]])
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== 7-limit focus ==
== 7-limit focus ==
=== [[Godzilla]] ===
=== [[Godzilla]] ===
Note count: 9 for {1, 3, 5, 7, 9(, 21)} ([[5L 4s]])
[[#Note counts|Note count]]: 9 for {1, 3, 5, 7, 9(, 21)} ([[5L 4s]])


[[#Generator tunings|Generator tunings]]: (4\30<3>, 19\30<3>)
[[#Generator tunings|Generator tunings]]: (4\30<3>, 19\30<3>)
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=== [[Negri]] ===
=== [[Negri]] ===
Note count: 9 for {3, 5, 7(, 13, 15)} ([[1L 8s]] or [[9L 1s]])
[[#Note counts|Note count]]: 9 for {3, 5, 7(, 13, 15)} ([[1L 8s]] or [[9L 1s]])


[[#Generator tunings|Generator tunings]]: (2\30<3>, 19\30<3>)
[[#Generator tunings|Generator tunings]]: (2\30<3>, 19\30<3>)
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== ~17-limit focus ==
== ~17-limit focus ==
=== [[Flattone]] ===
=== [[Flattone]] ===
Note count: 14 for {3, 5, 7, 9, 11, 13}
[[#Note counts|Note count]]: 14 for {3, 5, 7, 9, 11, 13}


[[#Generator tunings|Generator tunings]]: (11\30<3>, 19\30<3>), (15\93<12>, 26\93<12>)
[[#Generator tunings|Generator tunings]]: (11\30<3>, 19\30<3>), (15\93<12>, 26\93<12>)
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