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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 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]].
| | #redirect [[Subgroup temperaments #A-team]] |
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| [[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. | | [[Category:Rank-2 temperaments]] |
| | | [[Category:Subgroup temperaments]] |
| 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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| ==Generator chain==
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| {| class="wikitable"
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| |-
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| ! | Generators
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| ! | Cents
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| ! | Ratios*
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| | |
| notation
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| ! | Generators
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| ! | 2/1 inverse
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| ! | Ratios
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| | |
| notation
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| |-
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| | style="text-align:center;" | 0
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| | style="text-align:right;" | 0.00
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| | style="text-align:center;" | 1/1
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| | style="text-align:center;" | 0
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| | style="text-align:right;" | 1200.00
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| | style="text-align:center;" | 2/1
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| |-
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| | style="text-align:center;" | 1
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| | style="text-align:right;" | 464.39
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| | style="text-align:center;" | 21/16
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| | style="text-align:center;" | -1
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| | style="text-align:right;" | 735.61
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| | style="text-align:center;" | 32/21
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| |-
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| | style="text-align:center;" | 2
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| | style="text-align:right;" | 928.77
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| | style="text-align:center;" | 12/7
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| | style="text-align:center;" | -2
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| | style="text-align:right;" | 271.23
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| | style="text-align:center;" | 7/6
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| |-
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| | style="text-align:center;" | 3
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| | style="text-align:right;" | 193.16
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| | style="text-align:center;" | 9/8, 10/9
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| | style="text-align:center;" | -3
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| | style="text-align:right;" | 1006.84
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| | style="text-align:center;" | 16/9, 9/5
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| |-
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| | style="text-align:center;" | 4
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| | style="text-align:right;" | 657.546
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| | style="text-align:center;" | 16/11
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| | style="text-align:center;" | -4
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| | style="text-align:right;" | 542.454
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| | style="text-align:center;" | 11/8
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| |-
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| | style="text-align:center;" | 5
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| | style="text-align:right;" | 1121.93
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| | style="text-align:center;" | 40/21
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| | style="text-align:center;" | -5
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| | style="text-align:right;" | 78.07
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| | style="text-align:center;" | 21/20
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| |-
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| | style="text-align:center;" | 6
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| | style="text-align:right;" | 386.32
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| | style="text-align:center;" | 5/4
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| | style="text-align:center;" | -6
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| | style="text-align:right;" | 813.68
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| | style="text-align:center;" | 8/5
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| <!--
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| |-
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| | style="text-align:center;" | 7
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| | style="text-align:right;" | 1139.25
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| | style="text-align:center;" | 48/25~160/81
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| | style="text-align:center;" | -7
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| | style="text-align:right;" | 60.75
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| | style="text-align:center;" | 81/80~25/24
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| |-
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| | style="text-align:center;" | 8
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| | style="text-align:right;" | 102.00
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| | style="text-align:center;" | 16/15~21/20
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| | style="text-align:center;" | -8
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| | style="text-align:right;" | 1098.00
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| | style="text-align:center;" | 40/21~15/8
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| |-
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| | style="text-align:center;" | 9
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| | style="text-align:right;" | 264.75
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| | style="text-align:center;" | 7/6
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| | style="text-align:center;" | -9
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| | style="text-align:right;" | 935.25
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| | style="text-align:center;" | 12/7
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| |-
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| | style="text-align:center;" | 10
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| | style="text-align:right;" | 427.50
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| | style="text-align:center;" | 14/11
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| | style="text-align:center;" | -10
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| | style="text-align:right;" | 772.50
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| | style="text-align:center;" | 11/7
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| |-
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| | style="text-align:center;" | 11
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| | style="text-align:right;" | 590.25
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| | style="text-align:center;" | 7/5
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| | style="text-align:center;" | -11
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| | style="text-align:right;" | 609.75
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| | style="text-align:center;" | 10/7
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| |-
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| | style="text-align:center;" | 12
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| | style="text-align:right;" | 753.00
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| | style="text-align:center;" | 14/9
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| | style="text-align:center;" | -12
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| | style="text-align:right;" | 447.00
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| | style="text-align:center;" | 9/7
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| -->
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| |}
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| 2.9.21.5.11 ratio interpretations
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