|
|
| (15 intermediate revisions by 5 users not shown) |
| Line 1: |
Line 1: |
| 7L 8s refers to a Moment of Symmetry scale with 7 large steps and 8 small steps. One especially notable temperament that falls into this MOS pattern is [[Porcupine|porcupine]], of the [[Porcupine_family|porcupine family]].
| | {{Infobox MOS}} |
| | {{MOS intro}} |
|
| |
|
| {| class="wikitable"
| | It is notable for supporting [[Porcupine]], of the [[Porcupine_family|porcupine family]]. |
| |-
| |
| ! colspan="5" | Generator
| |
| ! | octachord
| |
| ! | g
| |
| ! | 2g
| |
| ! | 3g
| |
| ! | 4g
| |
| ! | 5g
| |
| ! | 6g
| |
| ! | 7g
| |
| ! | Comments
| |
| |-
| |
| | style="text-align:center;" | 2\15
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 1 1 1 1 1 1 1
| |
| | style="text-align:center;" | 160
| |
| | style="text-align:center;" | 320
| |
| | style="text-align:center;" | 480
| |
| | style="text-align:center;" | 640
| |
| | style="text-align:center;" | 800
| |
| | style="text-align:center;" | 960
| |
| | style="text-align:center;" | 1120
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 9\67
| |
| | style="text-align:center;" | 4 5 4 5 4 5 4
| |
| | style="text-align:center;" | 161.2
| |
| | style="text-align:center;" | 322.4
| |
| | style="text-align:center;" | 483.6
| |
| | style="text-align:center;" | 644.8
| |
| | style="text-align:center;" | 806
| |
| | style="text-align:center;" | 967.2
| |
| | style="text-align:center;" | 1128.4
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 7\52
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 3 4 3 4 3 4 3
| |
| | style="text-align:center;" | 161.5
| |
| | style="text-align:center;" | 323.1
| |
| | style="text-align:center;" | 484.6
| |
| | style="text-align:center;" | 646.2
| |
| | style="text-align:center;" | 807.7
| |
| | style="text-align:center;" | 969.2
| |
| | style="text-align:center;" | 1130.8
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 5\37
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 2 3 2 3 2 3 2
| |
| | style="text-align:center;" | 162.2
| |
| | style="text-align:center;" | 324.3
| |
| | style="text-align:center;" | 486.5
| |
| | style="text-align:center;" | 648.6
| |
| | style="text-align:center;" | 810.8
| |
| | style="text-align:center;" | 973
| |
| | style="text-align:center;" | 1135.1
| |
| | style="text-align:center;" | Optimal rank range (L/s=3/2) porcupine | |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">2 pi 2 pi 2 pi 2</span>
| |
| | style="text-align:center;" | 162.4
| |
| | style="text-align:center;" | 324.8
| |
| | style="text-align:center;" | 487.2
| |
| | style="text-align:center;" | 649.6
| |
| | style="text-align:center;" | 812
| |
| | style="text-align:center;" | 974.4
| |
| | style="text-align:center;" | 1136.8
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 13\96
| |
| | style="text-align:center;" | 5 8 5 8 5 8 5
| |
| | style="text-align:center;" | 162.5
| |
| | style="text-align:center;" | 325
| |
| | style="text-align:center;" | 487.5
| |
| | style="text-align:center;" | 650
| |
| | style="text-align:center;" | 812.5
| |
| | style="text-align:center;" | 975
| |
| | style="text-align:center;" | 1137.5
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 1 phi 1 phi 1 phi 1
| |
| | style="text-align:center;" | 162.6
| |
| | style="text-align:center;" | 325.1
| |
| | style="text-align:center;" | 487.7
| |
| | style="text-align:center;" | 650.2
| |
| | style="text-align:center;" | 812.8
| |
| | style="text-align:center;" | 975.35
| |
| | style="text-align:center;" | 1137.9
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">Golden porcupine when L/s=phi</span>
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 8\59
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 3 5 3 5 3 5 3
| |
| | style="text-align:center;" | 162.7
| |
| | style="text-align:center;" | 325.4
| |
| | style="text-align:center;" | 488.1
| |
| | style="text-align:center;" | 650.8
| |
| | style="text-align:center;" | 813.6
| |
| | style="text-align:center;" | 976.3
| |
| | style="text-align:center;" | 1139
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | <span style="background-color: #ffffff;">1 √3 1 √3 1 √3 1</span>
| |
| | style="text-align:center;" | 162.9
| |
| | style="text-align:center;" | 325.9
| |
| | style="text-align:center;" | 488.7
| |
| | style="text-align:center;" | 651.6
| |
| | style="text-align:center;" | 814.55
| |
| | style="text-align:center;" | 977.5
| |
| | style="text-align:center;" | 1140.4
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 3\22
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 1 2 1 2 1 2 1
| |
| | style="text-align:center;" | 163.6
| |
| | style="text-align:center;" | 327.3
| |
| | style="text-align:center;" | 490.9
| |
| | style="text-align:center;" | 654.5
| |
| | style="text-align:center;" | 818.2
| |
| | style="text-align:center;" | 981.8
| |
| | style="text-align:center;" | 1145.5
| |
| | style="text-align:center;" | Boundary of propriety (generators
| |
|
| |
|
| smaller than this are proper)
| | == Scale properties == |
| |-
| | {{TAMNAMS use}} |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" |
| | === Intervals === |
| | style="text-align:center;" |
| | {{MOS intervals}} |
| | style="text-align:center;" | 7\51
| | |
| | style="text-align:center;" |
| | === Generator chain === |
| | style="text-align:center;" | 2 5 2 5 2 5 2
| | {{MOS genchain}} |
| | style="text-align:center;" | 164.7
| | |
| | style="text-align:center;" | 329.4
| | === Modes === |
| | style="text-align:center;" | 494.1
| | {{MOS mode degrees}} |
| | style="text-align:center;" | 658.8
| | |
| | style="text-align:center;" | 823.5
| | == Scale tree == |
| | style="text-align:center;" | 988.2
| | {{todo|inline=1|complete table|text=There was previously octachord info in the old scale tree, in the form of the step pattern LsLsLsL. Please add it to the new scale tree.}} |
| | style="text-align:center;" | 1152.9
| | {{MOS tuning spectrum |
| | style="text-align:center;" |
| | | Depth = 6 |
| |-
| | | 3/2 = Optimal rank range ({{nowrap|L/s {{=}} 3/2}}) porcupine |
| | style="text-align:center;" |
| | | 13/8 = Golden porcupine {{nowrap|L/s {{=}} φ}} |
| | style="text-align:center;" |
| | }} |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" |
| | {{stub}} |
| | style="text-align:center;" |
| | |
| | style="text-align:center;" | <span style="display: block; text-align: center;">1 phi+1 1 phi+1 1 phi+1 1</span>
| | [[Category:Porcupine]] |
| | style="text-align:center;" | 164.9
| | [[Category:Abstract MOS patterns]] |
| | style="text-align:center;" | 329.8
| |
| | style="text-align:center;" | 494.75
| |
| | style="text-align:center;" | 659.7
| |
| | style="text-align:center;" | 824.6
| |
| | style="text-align:center;" | 989.5
| |
| | style="text-align:center;" | 1154.4
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 11\80
| |
| | style="text-align:center;" | 3 8 3 8 3 8 3
| |
| | style="text-align:center;" | 165
| |
| | style="text-align:center;" | 330
| |
| | style="text-align:center;" | 495
| |
| | style="text-align:center;" | 660
| |
| | style="text-align:center;" | 825
| |
| | style="text-align:center;" | 990
| |
| | style="text-align:center;" | 1155
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | | |
| | style="text-align:center;" | 1 e 1 e 1 e 1
| |
| | style="text-align:center;" | 165.1 | |
| | style="text-align:center;" | 330.2
| |
| | style="text-align:center;" | 495.3
| |
| | style="text-align:center;" | 660.3
| |
| | style="text-align:center;" | 825.4
| |
| | style="text-align:center;" | 990.5
| |
| | style="text-align:center;" | 1155.6 | |
| | style="text-align:center;" | <span style="display: block; text-align: center;">L/s=e</span> | |
| |- | |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 4\29
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 1 3 1 3 1 3 1
| |
| | style="text-align:center;" | 165.5
| |
| | style="text-align:center;" | 331
| |
| | style="text-align:center;" | 496.6
| |
| | style="text-align:center;" | 662.1
| |
| | style="text-align:center;" | 827.6
| |
| | style="text-align:center;" | 993.1
| |
| | style="text-align:center;" | 1158.6
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 1 pi 1 pi 1 pi 1
| |
| | style="text-align:center;" | 165.7
| |
| | style="text-align:center;" | 331.4
| |
| | style="text-align:center;" | 497.1
| |
| | style="text-align:center;" | 662.85
| |
| | style="text-align:center;" | 828.5
| |
| | style="text-align:center;" | 994.3
| |
| | style="text-align:center;" | 1160
| |
| | style="text-align:center;" | <span style="display: block; text-align: center;">L/s=pi</span>
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 5\36
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 1 4 1 4 1 4 1
| |
| | style="text-align:center;" | 166.7
| |
| | style="text-align:center;" | 333.3
| |
| | style="text-align:center;" | 500
| |
| | style="text-align:center;" | 666.7
| |
| | style="text-align:center;" | 833.3
| |
| | style="text-align:center;" | 1000
| |
| | style="text-align:center;" | 1166.7
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 6\43
| |
| | style="text-align:center;" | 1 5 1 5 1 5 1
| |
| | style="text-align:center;" | 167.4
| |
| | style="text-align:center;" | 334.9
| |
| | style="text-align:center;" | 502.3
| |
| | style="text-align:center;" | 669.8
| |
| | style="text-align:center;" | 837.2
| |
| | style="text-align:center;" | 1004.65
| |
| | style="text-align:center;" | 1172.1
| |
| | style="text-align:center;" |
| |
| |-
| |
| | style="text-align:center;" | 1\7
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" |
| |
| | style="text-align:center;" | 0 1 0 1 0 1 0
| |
| | style="text-align:center;" | 171.4
| |
| | style="text-align:center;" | 342.9
| |
| | style="text-align:center;" | 514.3
| |
| | style="text-align:center;" | 685.7
| |
| | style="text-align:center;" | 857.1
| |
| | style="text-align:center;" | 1028.6
| |
| | style="text-align:center;" | 1200
| |
| | style="text-align:center;" |
| |
| |}
| |