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

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Line 125:

* 82: see [[#Gary]]

* 176 for {3, 5, 7, 9, 11, 13, 15, 21, 25

* 176 for {3, 5, 7, 9, 11, 13, 15, 21, 25}

Generator tunings: (55\94, 1\2), (79\176, 1\2), (158\270, 1\2)

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Note counts:

* 41 for {3, 9~~, 7~~, 11, 21, 27, 33, 77, 81, 99} ([[12L 29s]])

* 41 for {3, 7, 9, 11, 21, 27, 33, 77, 81, 99} ([[12L 29s]])

Generator tunings: 24\41, 55\94, 79\135, 498\851

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[[#Generator tunings|Generator tunings]]: 5\22, 7\31, 12\53, 19\84

Orwell is a tempermant generated by a slightly sharp subminor third representing [[7/6]], seven of which reach [[6/1]]. Its name stems from George Orwell's book 1984, as a good generator is [[84edo|19\84]]. Three subminor thirds reach 8/5, the [[5th]] subharmonic. This temperament is supported by notable edos [[22edo|22]], [[31edo|31]], and [[53edo|53]], as well as the less known though still notable [[84edo]]. This temperament represents the 7-limit with good accuracy and relatively low complexity. However, the mapping for 11 is very simple, so this temperament really comes into its own in the 11-limit (see [[#Undecimal Orwell]]). Important commas tempered out by orwell include [[225/224]], [[1728/1715]], [[2430/2401]], [[6144/6125]], [[65625/65536]], and [[2109375/2097152]].

Orwell is a tempermant generated by a slightly sharp subminor third representing [[7/6]], seven of which reach [[6/1]]. Its name stems from George Orwell's book 1984, as a good generator is [[84edo|19\84]]. Three subminor thirds reach [[8/5]], the 5th subharmonic. This temperament is supported by notable edos [[22edo|22]], [[31edo|31]], and [[53edo|53]], as well as the less known though still notable [[84edo]]. This temperament represents the 7-limit with good accuracy and relatively low complexity. However, the mapping for 11 is very simple, so this temperament really comes into its own in the 11-limit (see [[#Undecimal Orwell]]). Important commas tempered out by orwell include [[225/224]], [[1728/1715]], [[2430/2401]], [[6144/6125]], [[65625/65536]], and [[2109375/2097152]].

=== 11-limit focus ===

@@ Line 125: / Line 125: @@
 * 82: see [[#Gary]]
-* 176 for {3, 5, 7, 9, 11, 13, 15, 21, 25
+* 176 for {3, 5, 7, 9, 11, 13, 15, 21, 25}
 Generator tunings: (55\94, 1\2), (79\176, 1\2), (158\270, 1\2)
@@ Line 156: / Line 156: @@
 Note counts:
-* 41 for {3, 9, 7, 11, 21, 27, 33, 77, 81, 99} ([[12L 29s]])
+* 41 for {3, 7, 9, 11, 21, 27, 33, 77, 81, 99} ([[12L 29s]])
 Generator tunings: 24\41, 55\94, 79\135, 498\851
@@ Line 341: / Line 341: @@
 [[#Generator tunings|Generator tunings]]: 5\22, 7\31, 12\53, 19\84
-Orwell is a tempermant generated by a slightly sharp subminor third representing [[7/6]], seven of which reach [[6/1]]. Its name stems from George Orwell's book 1984, as a good generator is [[84edo|19\84]]. Three subminor thirds reach 8/5, the [[5th]] subharmonic. This temperament is supported by notable edos [[22edo|22]], [[31edo|31]], and [[53edo|53]], as well as the less known though still notable [[84edo]]. This temperament represents the 7-limit with good accuracy and relatively low complexity. However, the mapping for 11 is very simple, so this temperament really comes into its own in the 11-limit (see [[#Undecimal Orwell]]). Important commas tempered out by orwell include [[225/224]], [[1728/1715]], [[2430/2401]], [[6144/6125]], [[65625/65536]], and [[2109375/2097152]].
+Orwell is a tempermant generated by a slightly sharp subminor third representing [[7/6]], seven of which reach [[6/1]]. Its name stems from George Orwell's book 1984, as a good generator is [[84edo|19\84]]. Three subminor thirds reach [[8/5]], the 5th subharmonic. This temperament is supported by notable edos [[22edo|22]], [[31edo|31]], and [[53edo|53]], as well as the less known though still notable [[84edo]]. This temperament represents the 7-limit with good accuracy and relatively low complexity. However, the mapping for 11 is very simple, so this temperament really comes into its own in the 11-limit (see [[#Undecimal Orwell]]). Important commas tempered out by orwell include [[225/224]], [[1728/1715]], [[2430/2401]], [[6144/6125]], [[65625/65536]], and [[2109375/2097152]].
 === 11-limit focus ===