A-team: Difference between revisions

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A-Team is a 2.9.21 temperament generated by a tempered 21/16 with a size ranging from 5\13 (461.54¢) to 7\18 (466.67¢), or to about 470¢ if you don't care about tempering out 81/80. 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 2.9.21.5.11 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, most notably the 8-note "oneirotonic" MOS; see also [[13edo#Modes_and_Harmony_in_the_Oneirotonic_Scale]].

[[13edo]], [[18edo]], [[31edo]], and [[44edo]] all support A-Team with their closest approximations to 9/8 and 21/16. ~~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, while representing the 2.9.21.5 subgroup less accurately, gives the ~~scale~~ extra ~~13-limit~~ interpretations; for example, the chord H-C-D-F (in Cryptic Ruse's notation) represents both 8:10:11:13 and 13:16:18:21 in 13edo.

[[13edo]], [[18edo]], [[31edo]], and [[44edo]] all support A-Team with their closest approximations to 9/8 and 21/16. 13edo, while representing the 2.9.21.5 subgroup less accurately, gives the chords extra interpretations; for example, the chord H-C-D-F (in Cryptic Ruse's notation) represents both 8:10:11:13 and 13:16:18:21 in 13edo. 31edo gives the [[optimal patent val]] for the 2.9.21.5 subgroup interpretation. 44edo is similar to 31edo but more accurately represents primes 13, 17, 19 and 23.

Its name is a pun on the 18 notes in its proper scale, which is a [[13L_5s|13L 5s]] MOS.

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 A-Team is a 2.9.21 temperament generated by a tempered 21/16 with a size ranging from 5\13 (461.54¢) to 7\18 (466.67¢), or to about 470¢ if you don't care about tempering out 81/80. 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 2.9.21.5.11 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, most notably the 8-note "oneirotonic" MOS; see also [[13edo#Modes_and_Harmony_in_the_Oneirotonic_Scale]].
-[[13edo]], [[18edo]], [[31edo]], and [[44edo]] all support A-Team with their closest approximations to 9/8 and 21/16. 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, while representing the 2.9.21.5 subgroup less accurately, gives the scale extra 13-limit interpretations; for example, the chord H-C-D-F (in Cryptic Ruse's notation) represents both 8:10:11:13 and 13:16:18:21 in 13edo.
+[[13edo]], [[18edo]], [[31edo]], and [[44edo]] all support A-Team with their closest approximations to 9/8 and 21/16.  13edo, while representing the 2.9.21.5 subgroup less accurately, gives the chords extra interpretations; for example, the chord H-C-D-F (in Cryptic Ruse's notation) represents both 8:10:11:13 and 13:16:18:21 in 13edo. 31edo gives the [[optimal patent val]] for the 2.9.21.5 subgroup interpretation. 44edo is similar to 31edo but more accurately represents primes 13, 17, 19 and 23.
 Its name is a pun on the 18 notes in its proper scale, which is a [[13L_5s|13L 5s]] MOS.