|
|
| (301 intermediate revisions by 7 users not shown) |
| Line 1: |
Line 1: |
| 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]] |
|
| |
|
| [[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.
| |
| | |
| ==Generator chain==
| |
| {| class="wikitable"
| |
| |-
| |
| ! | Generators
| |
| ! | Cents
| |
| ! | Ratios (*)
| |
| | |
| notation
| |
| ! | Generators
| |
| ! | 2/1 inverse
| |
| ! | Ratios (*)
| |
| | |
| notation
| |
| |-
| |
| | style="text-align:center;" | 0
| |
| | style="text-align:right;" | 0.00
| |
| | style="text-align:center;" | 1/1
| |
| | style="text-align:center;" | 0
| |
| | style="text-align:right;" | 1200.00
| |
| | style="text-align:center;" | 2/1
| |
| |-
| |
| | style="text-align:center;" | 1
| |
| | style="text-align:right;" | 463.96
| |
| | style="text-align:center;" | 21/16
| |
| | style="text-align:center;" | -1
| |
| | style="text-align:right;" | 735.61
| |
| | style="text-align:center;" | 32/21
| |
| |-
| |
| | style="text-align:center;" | 2
| |
| | style="text-align:right;" | 927.91
| |
| | style="text-align:center;" | 12/7
| |
| | style="text-align:center;" | -2
| |
| | style="text-align:right;" | 272.09
| |
| | style="text-align:center;" | 7/6
| |
| |-
| |
| | style="text-align:center;" | 3
| |
| | style="text-align:right;" | 191.87
| |
| | style="text-align:center;" | 9/8, 10/9
| |
| | style="text-align:center;" | -3
| |
| | style="text-align:right;" | 1008.13
| |
| | style="text-align:center;" | 16/9, 9/5
| |
| |-
| |
| | style="text-align:center;" | 4
| |
| | style="text-align:right;" | 655.82
| |
| | style="text-align:center;" | 16/11
| |
| | style="text-align:center;" | -4
| |
| | style="text-align:right;" | 544.18
| |
| | style="text-align:center;" | 11/8
| |
| |-
| |
| | style="text-align:center;" | 5
| |
| | style="text-align:right;" | 1119.78
| |
| | style="text-align:center;" | 40/21
| |
| | style="text-align:center;" | -5
| |
| | style="text-align:right;" | 80.22
| |
| | style="text-align:center;" | 21/20
| |
| |-
| |
| | style="text-align:center;" | 6
| |
| | style="text-align:right;" | 383.73
| |
| | style="text-align:center;" | 5/4
| |
| | style="text-align:center;" | -6
| |
| | style="text-align:right;" | 816.27
| |
| | style="text-align:center;" | 8/5
| |
| |-
| |
| | style="text-align:center;" | 7
| |
| | style="text-align:right;" | 847.68
| |
| | style="text-align:center;" | 18/11
| |
| | style="text-align:center;" | -7
| |
| | style="text-align:right;" | 352.31
| |
| | style="text-align:center;" | 11/9
| |
| |}
| |
| (*) 2.9.21.5.11 ratio interpretations
| |