User:Eliora/Proposed concept names: Difference between revisions
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== Prequartismic == | == Prequartismic == | ||
Named because 3125edo was the only one confirmed for tempering out the quartisma before it's discovery as significance of the difference between 5 33/32s and 7/6. | Named because 3125edo was the only one confirmed for tempering out the quartisma before it's discovery as significance of the difference between 5 33/32s and 7/6. In terms of patent vals it can be described as 3125 & 4991 or 3125 & 1866. | ||
Subgroup: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
Comma list: [24, -6, 0, 1, -5⟩, [-1, 4, 11, -11, 0⟩, [-19 -25 14 13 -3⟩ | [[Comma list]]: [24, -6, 0, 1, -5⟩, [-1, 4, 11, -11, 0⟩, [-19 -25 14 13 -3⟩ | ||
Mapping: | [[Mapping]]: 1 1389 890 1395 -1383, 0 -1452 -929 -1457 1451 | ||
Optimal tuning (CTE): ~64/33 = 1146.624 | [[Optimal tuning]] ([[CTE]]): ~64/33 = 1146.624 | ||
Vals: 1259e, 1866, 3125, 4384e, 4991, 6250e, 8116d, 7509ee, 9375e, 11241de | Vals: 1259e, 1866, 3125, 4384e, 4991, 6250e, 8116d, 7509ee, 9375e, 11241de | ||
=== 13-limit === | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | [[Subgroup]]: 2.3.5.7.11.13 | ||
Comma list: 1990656/1990625, 14236560/14235529, 117440512/117406179, 1181640625/1181599328 | [[Comma list]]: 1990656/1990625, 14236560/14235529, 117440512/117406179, 1181640625/1181599328 | ||
Mapping: | [[Mapping]]: 1 1389 890 1395 -1383 -282, 0 -1452 -929 -1457 1451 299 | ||
Optimal tuning (CTE): ~64/33 = 1146.624 | [[Optimal tuning]] (CTE): ~64/33 = 1146.624 | ||
== Tritonopod == | == Tritonopod == | ||
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Comma list: 4225/4224, 4375/4374, 6656/6655, 1575/1573 | Comma list: 4225/4224, 4375/4374, 6656/6655, 1575/1573 | ||
Mapping: | Mapping: ??? | ||
Generator: 81/65. | Generator: 81/65. | ||
Revision as of 17:37, 7 October 2022
Prequartismic
Named because 3125edo was the only one confirmed for tempering out the quartisma before it's discovery as significance of the difference between 5 33/32s and 7/6. In terms of patent vals it can be described as 3125 & 4991 or 3125 & 1866.
Subgroup: 2.3.5.7.11
Comma list: [24, -6, 0, 1, -5⟩, [-1, 4, 11, -11, 0⟩, [-19 -25 14 13 -3⟩
Mapping: 1 1389 890 1395 -1383, 0 -1452 -929 -1457 1451
Optimal tuning (CTE): ~64/33 = 1146.624
Vals: 1259e, 1866, 3125, 4384e, 4991, 6250e, 8116d, 7509ee, 9375e, 11241de
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 1990656/1990625, 14236560/14235529, 117440512/117406179, 1181640625/1181599328
Mapping: 1 1389 890 1395 -1383 -282, 0 -1452 -929 -1457 1451 299
Optimal tuning (CTE): ~64/33 = 1146.624
Tritonopod
17 generators are equal to 7/5, 18 generators are equal to 10/7. Named because these steps oppose the tonic and look like legs on a circular diagram, thus meaning that the spoke shape created by periods has "tritone legs". Defined as the 140 & 525 temperament.
Nicodar
Called so because it is produced by adding nicola (1575/1573) to the vidar comma basis, thus creating a rank two temperament.
Subgroup: 2.3.5.7.11.13
Comma list: 4225/4224, 4375/4374, 6656/6655, 1575/1573
Mapping: ???
Generator: 81/65.