User:Eliora/Proposed concept names: Difference between revisions
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== Tritonopod == | == 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. | 1 generator is equal to 50/49, 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. | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
Comma list: 703125/702464, 68719476736/68641485507 | Comma list: 703125/702464, 68719476736/68641485507 | ||
Mapping generators: ~50/49, ~262144/151263 | |||
Vals: 140, 525, 665 | |||
=== 11-limit === | === 11-limit === | ||
Comma list: 703125/702464... | Subgroup: 2.3.5.7.11 | ||
Comma list: 160083/160000, 180224/180075, 703125/702464 | |||
Mapping generators: ~50/49, ~400/231 | |||
Vals: ... | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 1716/1715, 4096/4095, 81675/81536, 40656/40625 | |||
Mapping generators: ~50/49, ~400/231 | |||
Vals: ... | |||
== Chromium == | == Chromium == | ||
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== Ruthenium == | == Ruthenium == | ||
Named after the 44th element, and is defined by closing a circle of 44 64/63s at the octave as 1848 & 2684. | Named after the 44th element, and is defined by closing a circle of 44 64/63s at the octave as 1848 & 2684. | ||
Subgroup: 2.3.5.7 | |||
Comma list: -8 23 -5 -6, 51 -13 -1 -10 | |||
Mapping generators: ~64/63, ~3/2 | |||
Mapping: 44 44 -78 175, 0 1 7 2 | |||
Vals: 1848, 2684, ... | |||
== Binilnilium == | == Binilnilium == | ||
Named after the provisional name for the 200th element, tempers out the 200-comma ([-317 200>) and the ragisma (4375/4374). | Named after the provisional name for the 200th element, tempers out the 200-comma ([-317 200>) and the ragisma (4375/4374). | ||
== Nuclear matter == | |||
Defined as the 22 & 69 temperament, and the comma in the 5-limit is [-41, 1, 17⟩. The name comes from the fact that nuclear matter density is 4.1 * 10^17 kg/m^3. | |||
Subgroup: 2.3.5 | |||
Comma list: [-41, 1, 17⟩ | |||
Optimal tuning (CTE): ~5/4 | |||
Vals: 22, 69 | |||
Revision as of 10:59, 11 October 2022
Tritonopod
1 generator is equal to 50/49, 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.
Subgroup: 2.3.5.7
Comma list: 703125/702464, 68719476736/68641485507
Mapping generators: ~50/49, ~262144/151263
Vals: 140, 525, 665
11-limit
Subgroup: 2.3.5.7.11
Comma list: 160083/160000, 180224/180075, 703125/702464
Mapping generators: ~50/49, ~400/231
Vals: ...
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 1716/1715, 4096/4095, 81675/81536, 40656/40625
Mapping generators: ~50/49, ~400/231
Vals: ...
Chromium
Defined as the 72 & 624 temperament, and named after 24th element for being period 24.
Ruthenium
Named after the 44th element, and is defined by closing a circle of 44 64/63s at the octave as 1848 & 2684.
Subgroup: 2.3.5.7
Comma list: -8 23 -5 -6, 51 -13 -1 -10
Mapping generators: ~64/63, ~3/2
Mapping: 44 44 -78 175, 0 1 7 2
Vals: 1848, 2684, ...
Binilnilium
Named after the provisional name for the 200th element, tempers out the 200-comma ([-317 200>) and the ragisma (4375/4374).
Nuclear matter
Defined as the 22 & 69 temperament, and the comma in the 5-limit is [-41, 1, 17⟩. The name comes from the fact that nuclear matter density is 4.1 * 10^17 kg/m^3.
Subgroup: 2.3.5
Comma list: [-41, 1, 17⟩
Optimal tuning (CTE): ~5/4
Vals: 22, 69