Very low accuracy temperaments: Difference between revisions
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Below are listed some very low accuracy temperaments. | Below are listed some very low accuracy temperaments. | ||
= Antitonic = | == Antitonic == | ||
This temperament is characterized by [[9/8]] being tempering out, and has been termed a "troll temperament". It is named on account of 4/3 and 3/2 both being represented by the 600 cent half octave, which, in terms of diatonic function, serves as an Antitonic. Surprisingly, it has extensions all the way up to the 11-limit, as confirmed by the data from [http://x31eq.com/cgi-bin/rt.cgi?limit=11&ets=2_4p&tuning=po x31eq]. The original 5-limit is basically the 3-limit music of [[2edo]] with the addition of harmonic 5 represented by an independent generator. | This temperament is characterized by [[9/8]] being tempering out, and has been termed a "troll temperament". It is named on account of 4/3 and 3/2 both being represented by the 600 cent half octave, which, in terms of diatonic function, serves as an Antitonic. Surprisingly, it has extensions all the way up to the 11-limit, as confirmed by the data from [http://x31eq.com/cgi-bin/rt.cgi?limit=11&ets=2_4p&tuning=po x31eq]. The original 5-limit is basically the 3-limit music of [[2edo]] with the addition of harmonic 5 represented by an independent generator. | ||
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Badness: 0.0216 | Badness: 0.0216 | ||
== 7-limit == | === 7-limit === | ||
Comma list: 9/8, 15/14 | Comma list: 9/8, 15/14 | ||
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Badness: 0.0194 | Badness: 0.0194 | ||
=== 11-limit === | ==== 11-limit ==== | ||
Comma list: 9/8, 12/11, 21/20 | Comma list: 9/8, 12/11, 21/20 | ||
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Badness: 0.0218 | Badness: 0.0218 | ||
== Antaeus == | === Antaeus === | ||
Comma list: 9/8, 35/32 | Comma list: 9/8, 35/32 | ||
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Badness: 0.0375 | Badness: 0.0375 | ||
=== 11-limit === | ==== 11-limit ==== | ||
Comma list: 9/8, 12/11, 35/32 | Comma list: 9/8, 12/11, 35/32 | ||
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Badness: | Badness: | ||
= Alteraugment = | == Alteraugment == | ||
Like [[augmented]], but the generator provides 5/4 instead of 3/2. | Like [[augmented]], but the generator provides 5/4 instead of 3/2. | ||
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Badness: 0.0780 | Badness: 0.0780 | ||
= Brutus = | == Brutus == | ||
Comma list: 10/9, 28/25 | Comma list: 10/9, 28/25 | ||
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Badness: 0.0534 | Badness: 0.0534 | ||
= Geryon = | == Geryon == | ||
Comma list: 8/7, 25/21 | Comma list: 8/7, 25/21 | ||
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Badness: 0.0510 | Badness: 0.0510 | ||
= Phlegyas = | == Phlegyas == | ||
Comma list: 10/9, 35/32 | Comma list: 10/9, 35/32 | ||
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Badness: 0.0513 | Badness: 0.0513 | ||
= Malacoda = | == Malacoda == | ||
Comma list: 15/14, 35/32 | Comma list: 15/14, 35/32 | ||
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Badness: 0.0372 | Badness: 0.0372 | ||
= Ugolino = | == Ugolino == | ||
Comma list: 15/14, 27/25 | Comma list: 15/14, 27/25 | ||
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Badness: 0.0438 | Badness: 0.0438 | ||
= Charon = | == Charon == | ||
Comma list: 10/9, 49/45 | Comma list: 10/9, 49/45 | ||
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Badness: 0.0564 | Badness: 0.0564 | ||
= Nessus = | == Nessus == | ||
Comma list: 10/9, 49/48 | Comma list: 10/9, 49/48 | ||
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Badness: 0.0591 | Badness: 0.0591 | ||
= Medusa = | == Medusa == | ||
Comma list: 15/14, 64/63 | Comma list: 15/14, 64/63 | ||