|
|
| Line 28: |
Line 28: |
|
| |
|
| == Scale tree == | | == Scale tree == |
| Generator ranges:
| | {{Todo|expand|inline=1|comment=Add back [[casablanca]] and [[thuja]] temperaments }}{{Scale tree}} |
| * Chroma-positive generator: 533.3333 cents (4\9) to 600 cents (1\2)
| |
| * Chroma-negative generator: 600 cents (1\2) to 666.6667 cents (5\9)
| |
| | |
| {| class="wikitable" | |
| |-
| |
| ! colspan="5" | Generator
| |
| ! | Generator
| |
| ! | L
| |
| ! | s
| |
| ! | Comments
| |
| |-
| |
| | | 4\9
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 533.33
| |
| | | 133.33
| |
| | | 133.33
| |
| | style="text-align:center;" |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |17\39
| |
| |536.84
| |
| |157.895
| |
| |126.32
| |
| |
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |13\29
| |
| |
| |
| |537.93
| |
| |165.52
| |
| |124.14
| |
| |
| |
| |-
| |
| | |
| |
| | |
| |
| | | 9\20
| |
| | |
| |
| | |
| |
| | | 540
| |
| | | 180
| |
| | | 120
| |
| | style="text-align:center;" |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 540.84
| |
| | | 185.86
| |
| | | 118.325
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 23\51
| |
| | | 541.18
| |
| | | 188.235
| |
| | | 117.65
| |
| | style="text-align:center;" |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 541.38
| |
| | | 189.69
| |
| | | 117.23
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 14\31
| |
| | |
| |
| | | 541.935
| |
| | | 193.55
| |
| | | 116.13
| |
| | style="text-align:center;" | Casablanca is around here.
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 542.66
| |
| | | 198.63
| |
| | | 114.68
| |
| | |
| |
| |-
| |
| | |
| |
| | | 5\11
| |
| | |
| |
| | |
| |
| | |
| |
| | | 545.45
| |
| | | 218.18
| |
| | | 109.09
| |
| | style="text-align:center;" |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 11\24
| |
| | |
| |
| | | 550
| |
| | | 250
| |
| | | 100
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 550.965
| |
| | | 256.75
| |
| | | 98.07
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 17\37
| |
| | | 551.35
| |
| | | 259.46
| |
| | | 97.3
| |
| | |
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 551.755
| |
| | | 262.29
| |
| | | 96.49
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
| |
| |-
| |
| | |
| |
| | |
| |
| | | 6\13
| |
| | |
| |
| | |
| |
| | | 553.85
| |
| | | 276.92
| |
| | | 92.31
| |
| | style="text-align:center;" | L/s = 3
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 554.83
| |
| | | 283.81
| |
| | | 90.34
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 13\28
| |
| | | 557.14
| |
| | | 300
| |
| | | 85.14
| |
| | style="text-align:center;" | Thuja is around here.
| |
| |-
| |
| | |
| |
| | |
| |
| | |
| |
| | | 7\15
| |
| | |
| |
| | | 560
| |
| | | 320
| |
| | | 80
| |
| | style="text-align:center;" | L/s = 4
| |
| |-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |8\17
| |
| |564.71
| |
| |352.94
| |
| |70.59
| |
| |
| |
| |-
| |
| | | 1\2
| |
| | |
| |
| | |
| |
| | |
| |
| | |
| |
| | | 600
| |
| | | 600
| |
| | | 0
| |
| | style="text-align:center;" |
| |
| |} | |
| | |
| Around L = 300¢ and s = 85¢, thuja appears, which is a complex temperament whose generator represents 11/8.
| |
| | |
| [[Category:9-tone scales]] | | [[Category:9-tone scales]] |
| [[Category:Balzano| ]] | | [[Category:Balzano| ]] |