11L 2s: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
! colspan=6 | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
|-
| | 5\11
| | 5\11
| |  
| |
| | 545.5455
| |
| |
| |
| |
| | 1
| | 0
| |
| | 545.455
| |
|-
|-
| |
| |
| |
| |
| | <sup>&rarr;</sup>41\90
| |
| | 8
| | 1
| | 8.000
| | 546.667
| |
|-
| |
| |
| |
| |
| | <sup>&rarr;</sup>36\79
| |
| | 7
| | 1
| | 7.000
| | 546.835
| |
|-
| |
| |
| |
| |
| | <sup>&rarr;</sup>31\68
| |
| | 6
| | 1
| | 6.000
| | 547.059
| |
|-
| |
| |
| |
| |
| | 26\57
| | 26\57
| |  
| |
| | 5
| | 1
| | 5.000
| | 547.368
| | 547.368
| |
|-
|-
| |
| |
| |
| | 21\46
| | 21\46
| |  
| |
| |
| | 4
| | 1
| | 4.000
| | 547.826
| | 547.826
| |
|-
|-
| |  
| |
| |  
| |
| | 548.439
| |
| |
| | 37\81
| |
| | 7
| | 2
| | 3.500
| | 548.148
| |
|-
|-
| |
| |
| | 16\35
| | 16\35
| |  
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 548.571
| | 548.571
| |
|-
|-
| |  
| |
| |  
| |
| | 548.874
| |
|-
| |
| |  
| | 43\94
| | 43\94
| |
| | 8
| | 3
| | 2.667
| | 548.936
| | 548.936
| |
|-
|-
| |  
| |
| |  
| |
| | 548.997
| |
| | 27\59
| |
| |
| | 5
| | 2
| | 2.500
| | 549.153
| |
|-
|-
| |  
| |
| | 27\59
| |
| | 549.1525
| |
| |
| | 38\83
| |
| | 7
| | 3
| | 2.333
| | 549.398
| |
|-
|-
| |
| | 11\24
| | 11\24
| |  
| |
| | 550
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 550.000
| |
|-
|-
| |  
| |
| |  
| |
| | 550.636
| |
| |
| | 39\85
| |
| | 7
| | 4
| | 1.750
| | 550.588
| |
|-
|-
| |  
| |
| |
| |
| | 28\61
| | 28\61
| | 550.82
| |
| |
| | 5
| | 3
| | 1.667
| | 550.820
| |
|-
|-
| |  
| |
| |  
| |
| |
| |
| |
| | (5&phi;+1)/(11&phi;+2)
| | &phi;
| | 1
| | 1.618
| | 550.965
| | 550.965
| |
|-
|-
| |  
| |
| |
| |
| |
| | 45\98
| | 45\98
| | 551.02
| |
|-
| | 8
| |  
| | 5
| |  
| | 1.600
| | 551.113
| | 551.020
| |
|-
|-
| |
| |
| | 17\37
| | 17\37
| |  
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 551.351
| | 551.351
| |
|-
|-
| |
| |
| |
| |
| | 40\87
| |
| | 7
| | 5
| | 1.400
| | 551.724
| |
|-
| |
| |
| |
| | 23\50
| | 23\50
| |  
| |
| | 552
| |
| | 4
| | 3
| | 1.333
| | 552.000
| |
|-
|-
| |
| |
| |
| |
| | 29\63
| | 29\63
| |  
| |
| | 5
| | 4
| | 1.250
| | 552.381
| | 552.381
| |
|-
| |
| |
| |
| |
| | <sup>&rarr;</sup>35\76
| |
| | 6
| | 5
| | 1.200
| | 552.632
| |
|-
| |
| |
| |
| |
| | <sup>&rarr;</sup>41\89
| |
| | 7
| | 6
| | 1.167
| | 552.809
| |
|-
|-
| | 6\13
| | 6\13
| |  
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 553.846
| | 553.846
| |
|}
|}

Revision as of 04:36, 30 December 2018

This is the mega chromatic scale of Heinz temperament. Its generator of 5\11edo to 6\13edo hits so close to 11/8 as to be able to be called nothing but that interval, making it an 11+-limit scale.

generator L s L/s gen (cents) comment
5\11 1 0 545.455
41\90 8 1 8.000 546.667
36\79 7 1 7.000 546.835
31\68 6 1 6.000 547.059
26\57 5 1 5.000 547.368
21\46 4 1 4.000 547.826
37\81 7 2 3.500 548.148
16\35 3 1 3.000 548.571
43\94 8 3 2.667 548.936
27\59 5 2 2.500 549.153
38\83 7 3 2.333 549.398
11\24 2 1 2.000 550.000
39\85 7 4 1.750 550.588
28\61 5 3 1.667 550.820
(5φ+1)/(11φ+2) φ 1 1.618 550.965
45\98 8 5 1.600 551.020
17\37 3 2 1.500 551.351
40\87 7 5 1.400 551.724
23\50 4 3 1.333 552.000
29\63 5 4 1.250 552.381
35\76 6 5 1.200 552.632
41\89 7 6 1.167 552.809
6\13 1 1 1.000 553.846