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Carlos Alpha: Difference between revisions

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→Theory: mention 354edo being non-patent
 
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It has a very good representation of the 7:8:10:11:12 chord from the [[harmonic series]].
It has a very good representation of the 7:8:10:11:12 chord from the [[harmonic series]].


Sequence of edos with lower and lower relative error: {{EDOs| 15, 31, 46, 77, 354 }}.
Sequence of edos with lower and lower relative error: {{EDOs| 15, 31, 46, 77, 354 }} (though 354edo doesn't support valentine by [[patent val]]).


== Intervals ==
== Intervals ==
Line 26: Line 26:
|-
|-
! Degrees
! Degrees
! Cents ~ Cents octave-reduced
! Cents<br>~(octave-reduced)
! Approximate JI interval (11-limit)
! Approximate JI interval<br>(11-limit)
|-
|-
| 0
| 0
| 0
| 0
| | 1/1 (exact)
| 1/1
|-
|-
| | 1
| 1
| | 77.965
| 77.965
| |25/24, 22/21, 21/20
| 25/24, 21/20, 22/21
|-
|-
| | 2
| 2
| | 155.930
| 155.930
| | 12/11, 35/32, 11/10
| 11/10, 12/11, 35/32
|-
|-
| | 3
| 3
| | 233.895
| 233.895
| | 8/7, 55/48
| 8/7, 55/48
|-
|-
| | 4
| 4
| | 311.860
| 311.860
| | 6/5
| 6/5
|-
|-
| | 5
| 5
| | 389.825
| 389.825
| | 5/4
| 5/4
|-
|-
| | 6
| 6
| | 467.790
| 467.790
| | 72/55, 21/16
| 21/16, 72/55
|-
|-
| | 7
| 7
| | 545.755
| 545.755
| | 15/11, 48/35, 11/8
| 11/8, 15/11, 48/35
|-
|-
| | 8
| 8
| | 623.720
| 623.720
| | 10/7, 63/44, 36/25
| 10/7, 36/25, 63/44
|-
|-
| | 9
| 9
| | 701.685
| 701.685
| | 3/2
| 3/2
|-
|-
| | 10
| 10
| | 779.650
| 779.650
| | 25/16, 11/7, 63/40
| 11/7, 25/16, 63/40
|-
|-
| | 11
| 11
| | 857.615
| 857.615
| | 18/11, 105/64, 33/20
| 18/11, 33/20, 105/64
|-
|-
| | 12
| 12
| | 935.580
| 935.580
| | 12/7, 55/32
| 12/7, 55/32
|-
|-
| | 13
| 13
| | 1013.545
| 1013.545
| | 9/5
| 9/5
|-
|-
| | 14
| 14
| | 1091.510
| 1091.510
| | 15/8
| 15/8
|-
|-
| | 15
| 15
| | 1169.475
| 1169.475
| | 108/55, 63/32
| 63/32, 108/55
|-
|-
| | 16
| 16
| | 1247.440 ~ 47.440
| 1247.440 ~ 47.440
| | 45/22, 72/35, 33/16
| 72/35, 33/16, 45/22
|-
|-
| | 17
| 17
| | 1325.4045 ~ 125.405
| 1325.4045 ~ 125.405
| | 15/7, 189/88, 54/25
| 15/7, 54/25, 189/88
|-
|-
| | 18
| 18
| | 1403.370 ~ 203.370
| 1403.370 ~ 203.370
| | 9/4
| 9/4
|-
|-
| | 19
| 19
| | 1481.335 ~ 281.335
| 1481.335 ~ 281.335
|
| 33/14
|-
|-
| | 20
| 20
| | 1559.300 ~ 359.300
| 1559.300 ~ 359.300
|  
| 27/11 ([[Valentino]] 32/13)
|-
|-
| | 21
| 21
| | 1637.265 ~ 437.265
| 1637.265 ~ 437.265
|
| 18/7
|-
|-
| | 22
| 22
| | 1715.230 ~ 515.230
| 1715.230 ~ 515.230
|
| 27/20
|-
|-
| | 23
| 23
| | 1793.195 ~ 593.195
| 1793.195 ~ 593.195
|
| 45/32
|-
|-
| | 24
| 24
| | 1871.160 ~ 671.160
| 1871.160 ~ 671.160
|
|  
|-
|-
| | 25
| 25
| | 1949.125 ~ 749.125
| 1949.125 ~ 749.125
|
|
|-
|-
| | 26
| 26
| | 2027.090 ~ 827.090
| 2027.090 ~ 827.090
|
|
|-
|-
| | 27
| 27
| | 2105.055 ~ 905.055
| 2105.055 ~ 905.055
|
|
|-
|-
| | 28
| 28
| | 2183.020 ~ 983.020
| 2183.020 ~ 983.020
|
|
|-
|-
| | 29
| 29
| | 2260.985 ~ 1060.985
| 2260.985 ~ 1060.985
|
|
|-
|-
| | 30
| 30
| | 2330.950 ~ 1138.950
| 2330.950 ~ 1138.950
|
|
|-
|-
| | 31
| 31
| | 2416.915 ~ 16.915
| 2416.915 ~ 16.915
|
|
|-
|-
| | 32
| 32
| | 2494.880 ~ 94.880
| 2494.880 ~ 94.880
|
|
|-
|-
| | 33
| 33
| | 2572.845 ~ 172.845
| 2572.845 ~ 172.845
|
|
|-
|-
| | 34
| 34
| | 2650.810 ~ 250.810
| 2650.810 ~ 250.810
|
|
|-
|-
| | 35
| 35
| | 2728.775 ~ 328.775
| 2728.775 ~ 328.775
|
|
|-
|-
| | 36
| 36
| | 2806.740 ~ 406.740
| 2806.740 ~ 406.740
|
|
|}
|}
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