User:2^67-1/Proposed names for RTs: Difference between revisions
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''' | '''[[Subgroup temperaments|Pakkanian Hemipyth]]''', 2.3.11.13/5.17 {221/220, 243/242, 289/288}. Essentially an answer to Frostburn's question "Is there a rank-2 temperament with a fancy subgroup where √2 ~ 17/12, √3/2 ~ 11/9 and √4/3 ~ 15/13 without further contortion of the generator or does that necessarily happen?" Note that this was derived by CompactStar before me, totally independently. | ||
'''Null temperament''' (WIP), any subgroup, comma list is all the primes in said subgroup. A 0-dimensional temperament. Names proposed include ''cypher'' and ''devnull''. | '''Null temperament''' (WIP), any subgroup, comma list is all the primes in said subgroup. A 0-dimensional temperament. Names proposed include ''cypher'' and ''devnull''. | ||
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'''[[Sulbasutrisma]]''' (done), a comma (332929/332928) that is the difference between 577/408 and its octave complement. | '''[[Sulbasutrisma]]''' (done), a comma (332929/332928) that is the difference between 577/408 and its octave complement. | ||
sqrt(((3^200)/(2^317))^4*(((17/16)^4)/(81/64))^3) or 2.3.17 [-649 394 6>, an unnoticeable 2.3.17 comma which is about 0.00280 cents large. | |||
Revision as of 11:57, 26 November 2024
Pakkanian Hemipyth, 2.3.11.13/5.17 {221/220, 243/242, 289/288}. Essentially an answer to Frostburn's question "Is there a rank-2 temperament with a fancy subgroup where √2 ~ 17/12, √3/2 ~ 11/9 and √4/3 ~ 15/13 without further contortion of the generator or does that necessarily happen?" Note that this was derived by CompactStar before me, totally independently.
Null temperament (WIP), any subgroup, comma list is all the primes in said subgroup. A 0-dimensional temperament. Names proposed include cypher and devnull.
7-limit temperaments with different subgroups:
- 4.6.5.7
- Vigesimal (4.6.5.7 {25/24, 49/48})
- Tetradominant (4.6.5.7 {36/35, 64/63})
- Tetraugene (4.6.5.7 {64/63, 126/125})
- 4.9.25.49
- Supertonic (4.9.25.49 {1296/1225, 4096/3969})
- Macroaugene (4.9.25.49 {4096/3969, 15876/15625})
Osmicolian comma: 12288/12005, a comma that came out of a diesis search I did for Godtone. The first name is osmium because he noticed the comma before me.
Sulbasutrisma (done), a comma (332929/332928) that is the difference between 577/408 and its octave complement.
sqrt(((3^200)/(2^317))^4*(((17/16)^4)/(81/64))^3) or 2.3.17 [-649 394 6>, an unnoticeable 2.3.17 comma which is about 0.00280 cents large.