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 comma 1029/1024 is tempered out. It's natural to equate two 9/8's with one 5/4, tempering out 81/80 and making A-Team a 2.9.21.5 temperament. [[13edo]], [[18edo]], and [[31edo]] all support A-Team; 31edo is a nearly optimal tuning for the 2.9.21.5 subgroup interpretation, with the 21/16 generator | 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 comma 1029/1024 is tempered out. It's natural to equate two 9/8's with one 5/4, tempering out 81/80 and making A-Team a 2.9.21.5 temperament. [[13edo]], [[18edo]], and [[31edo]] all support A-Team; 31edo is a nearly optimal tuning for the 2.9.21.5 subgroup interpretation, with the 21/16 generator only .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 02:28, 23 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 comma 1029/1024 is tempered out. It's natural to equate two 9/8's with one 5/4, tempering out 81/80 and making A-Team a 2.9.21.5 temperament. 13edo, 18edo, and 31edo all support A-Team; 31edo is a nearly optimal tuning for the 2.9.21.5 subgroup interpretation, with the 21/16 generator only .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.