A-team: Difference between revisions

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'''A-Team''' is a 2.9.21 temperament generated by a tempered zo fourth (21/16) with a size ranging from 5\13 (461.54¢) to 7\18 (466.67¢), or to about 470.78¢ (the pure value for 21/16) if you don't care about tempering out 81/80 or avoiding quartertone-sized steps. Any EDO that has an interval within the range 461.54¢ to 470.78¢ will support A-Team. Three 21/16's are equated to one 9/8, which means that the [[color notation|latrizo]] comma (1029/1024) is tempered out. Its name is a pun on the 18 notes in its proper scale, which is a [[13L_5s|13L 5s]] MOS.
'''A-Team''' is a 2.9.21 temperament generated by a tempered zo fourth (21/16) with a size ranging from 5\13 (461.54¢) to 470.78¢ (the pure value for 21/16). Any EDO that has an interval within the range 461.54¢ to 470.78¢ will support A-Team. Three 21/16's are equated to one 9/8, which means that the [[color notation|latrizo]] comma (1029/1024) is tempered out. Its name is a pun on the 18 notes in its proper scale, which is a [[13L_5s|13L 5s]] MOS.


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; generators optimized for tempering out 81/80 also tend to generate the melodically best scales. The generator generates [[3L 2s]], [[5L 3s]], and [[5L 8s]] MOSes, most notably the 8-note "oneirotonic" MOS; see also [[13edo#Modes_and_Harmony_in_the_Oneirotonic_Scale]]. Any EDO with an interval between 461.54¢ and 466.67¢ can be reasonably said to support 2.9.21.5 A-Team.
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; generators optimized for tempering out 81/80 also tend to generate the melodically best scales. The generator generates [[3L 2s]], [[5L 3s]], and [[5L 8s]] MOSes, most notably the 8-note "oneirotonic" MOS; see also [[13edo#Modes_and_Harmony_in_the_Oneirotonic_Scale]]. Any EDO with an interval between 461.54¢ and 466.67¢ can be reasonably said to support 2.9.21.5 A-Team.