A-team: Difference between revisions
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A-Team is a 2.9.21 temperament generated by a tempered 21/16 where 9 is tuned ~3.91 to ~19.295 cents flat and 21 is tuned ~4.11 to ~9.24 cents flat, following whence 7:3 is tuned ~.2 cents flat to ~10.055 cents sharp. Three 21/16's are equated to one 9/8, which means that the [[color notation|latrizo]] comma (1029/1024) is tempered out. It's natural to consider A-Team a 2.9.21.5 temperament by also equating two 9/8's with one 5/4, tempering out 81/80. | A-Team is a 2.9.21 temperament generated by a tempered 21/16 where 9 is tuned ~3.91 to ~19.295 cents flat and 21 is tuned ~4.11 to ~9.24 cents flat, following whence 7:3 is tuned ~.2 cents flat to ~10.055 cents sharp. Three 21/16's are equated to one 9/8, which means that the [[color notation|latrizo]] comma (1029/1024) is tempered out. It's natural to consider A-Team a 2.9.21.5 temperament by also equating two 9/8's with one 5/4, tempering out 81/80. The generator generates 5-, 8-, and 13-note MOSes; see also [[13edo#Modes_and_Harmony_in_the_Oneirotonic_Scale]]. | ||
[[13edo]], [[18edo]], and [[31edo]] all support A-Team; 31edo gives the [[optimal patent val]] for the 2.9.21.5 subgroup interpretation, with the 12\31 generator only 0.13 cents sharper than the POTE generator of 464.3865 cents. | [[13edo]], [[18edo]], and [[31edo]] all support A-Team; 31edo gives the [[optimal patent val]] for the 2.9.21.5 subgroup interpretation, with the 12\31 generator only 0.13 cents sharper than the POTE generator of 464.3865 cents. | ||
Its name is a pun on the 18 notes in its proper scale, which is a [[13L_5s|13L 5s]] MOS. | Its name is a pun on the 18 notes in its proper scale, which is a [[13L_5s|13L 5s]] MOS. | ||
Revision as of 00:07, 24 May 2020
A-Team is a 2.9.21 temperament generated by a tempered 21/16 where 9 is tuned ~3.91 to ~19.295 cents flat and 21 is tuned ~4.11 to ~9.24 cents flat, following whence 7:3 is tuned ~.2 cents flat to ~10.055 cents sharp. Three 21/16's are equated to one 9/8, which means that the latrizo comma (1029/1024) is tempered out. It's natural to consider A-Team a 2.9.21.5 temperament by also equating two 9/8's with one 5/4, tempering out 81/80. The generator generates 5-, 8-, and 13-note MOSes; see also 13edo#Modes_and_Harmony_in_the_Oneirotonic_Scale.
13edo, 18edo, and 31edo all support A-Team; 31edo gives the optimal patent val for the 2.9.21.5 subgroup interpretation, with the 12\31 generator only 0.13 cents sharper than the POTE generator of 464.3865 cents.
Its name is a pun on the 18 notes in its proper scale, which is a 13L 5s MOS.