Xenharmonic Wiki

Orwell extensions: Difference between revisions

← Older editNewer edit →
VisualWikitext
Cmloegcmluin (talk | contribs)
autopatrolled, emailconfirmed
5,164 edits
map → mapping
Cmloegcmluin (talk | contribs)
autopatrolled, emailconfirmed
5,164 edits
→Spectrum of Winston Tunings: separate ET generators
Line 188: Line 188:
|}
|}


==Spectrum of Winston Tunings by Eigenmonzos==
==Tuning Spectrum for Winston==


Gencom: [2 7/6; 66/65 99/98 105/104 121/120]
Gencom: [2 7/6; 66/65 99/98 105/104 121/120]


Gencom mapping: [<1 0 3 1 3 1|, <0 7 -3 8 2 12|]
Gencom mapping: [{{map|1 0 3 1 3 1}}, {{map|0 7 -3 8 2 12}}]


{| class="wikitable"
{| class="wikitable center-all"
|-
|-
! | Eigenmonzo
! | ET<br>generator
! | Subminor Third
! | [[eigenmonzo|eigenmonzo<br>(unchanged interval]])
! | subminor<br>third (¢)
! | comments
|-
|-
| |
| | 7/6
| | 7/6
| | 266.871
| | 266.871
| |
|-
|-
| |
| | 13/12
| | 13/12
| | 267.715
| | 267.715
| |
|-
|-
| |
| | 14/13
| | 14/13
| | 267.925
| | 267.925
| |
|-
|-
| |
| | 15/11
| | 15/11
| | 268.475
| | 268.475
| |
|-
|-
| |
| | 13/11
| | 13/11
| | 268.921
| | 268.921
| |
|-
|-
| |
| | 15/13
| | 15/13
| | 269.032
| | 269.032
| |
|-
|-
| |
| | 14/11
| | 14/11
| | 269.585
| | 269.585
| |
|-
|-
| |
| | 16/13
| | 16/13
| | 270.044
| | 270.044
| |
|-
|-
| |
| | 12/11
| | 12/11
| | 270.127
| | 270.127
| |
|-
|-
| |
| | 15/14
| | 15/14
| | 270.139
| | 270.139
| |
|-
|-
| |
| | 13/10
| | 13/10
| | 270.281
| | 270.281
| |
|-
|-
| | |0 112 -67 20 -28 52&gt;
| |
| | 270.860 (15 limit least squares)
| | {{vector|0 112 -67 20 -28 52}}
| | 270.860
| | 15 limit least squares
|-
|-
| | |0 118 -61 16 -26 44&gt;
| |
| | 270.933 (13 limit least squares)
| | {{vector|0 118 -61 16 -26 44}}
| | 270.933
| | 13 limit least squares
|-
|-
| | 7\31
| | 7\31
| |
| | 270.968
| | 270.968
| |
|-
|-
| |
| | 11/9
| | 11/9
| | 271.049 (13 and 15 limit minimax)
| | 271.049
| | 13 and 15 limit minimax
|-
|-
| |
| | 8/7
| | 8/7
| | 271.103
| | 271.103
| |
|-
|-
| |
| | 7/5
| | 7/5
| | 271.137
| | 271.137
| |
|-
|-
| |
| | 5/4
| | 5/4
| | 271.229
| | 271.229
| |
|-
|-
| |
| | 1361367/1000000
| | 1361367/1000000
| | 271.326 (7 limit least squares)
| | 271.326
| | 7 limit least squares
|-
|-
| | 19\84
| | 19\84
| |
| | 271.429
| | 271.429
| |
|-
|-
| | |0 119 -46 20 -16&gt;
| |
| | 271.445 (11 limit least squares)
| | {{vector|0 119 -46 20 -16}}
| | 271.445
| | 11 limit least squares
|-
|-
| | x^10 + 2x^3 = 8
| |  
| | 271.508 (equal beating)
| | <math>x^{10} + 2x^3 = 8</math>
| | 271.508
| | equal beating
|-
|-
| | |0 90 -41 14&gt;
| |
| | 271.561 (9 limit least squares)
| | {{vector|0 90 -41 14}}
| | 271.561
| | 9 limit least squares
|-
|-
| |
| | 6/5
| | 6/5
| | 271.564 (5 limit minimax)
| | 271.564
| | 5 limit minimax
|-
|-
| |
| | 1220703125/1033121304
| | 1220703125/1033121304
| | 271.590 (5 limit least squares)
| | 271.590
| | 5 limit least squares
|-
|-
| |
| | 10/9
| | 10/9
| | 271.623 (9 limit minimax)
| | 271.623
| | 9 limit minimax
|-
|-
| | 12\53
| | 12\53
| |
| | 271.698
| | 271.698
| |
|-
|-
| |
| | 4/3
| | 4/3
| | 271.708
| | 271.708
| |
|-
|-
| |
| | 16/15
| | 16/15
| | 272.067
| | 272.067
| |
|-
|-
| |
| | 9/7
| | 9/7
| | 272.514
| | 272.514
| |
|-
|-
| | 5\22
| | 5\22
| |
| | 272.727
| | 272.727
| |
|-
|-
| |
| | 11/10
| | 11/10
| | 273.001
| | 273.001
| |
|-
|-
| |
| | 11/8
| | 11/8
| | 275.659
| | 275.659
| |
|-
|-
| |
| | 18/13
| | 18/13
| | 281.691
| | 281.691
| |
|}
|}


Retrieved from "https://en.xen.wiki/w/Orwell_extensions"