Lemba: Difference between revisions

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See [[Jubilismic_clan#Lemba|Jubilismic clan]].
See also
* [[Jubilismic clan #Lemba]]
* [[Gamelismic clan #Lemba]]


==Spectrum of Lemba Tunings by Eigenmonzos==
==Spectrum of Lemba Tunings by Eigenmonzos==
Line 9: Line 11:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Eigenmonzo
! Eigenmonzo
! | Supermajor Second
! Supermajor Second
|-
|-
| | 5/4
| 5/4
| | 213.686
| 213.686
|-
|-
| | 15/11
| 15/11
| | 221.016
| 221.016
|-
|-
| | 12/11
| 12/11
| | 224.681
| 224.681
|-
|-
| | 3\16
| 3\16
| | 225.000
| 225.000
|-
|-
| | 13/10
| 13/10
| | 227.107
| 227.107
|-
|-
| | 11/10
| 11/10
| | 227.501
| 227.501
|-
|-
| | 13/11
| 13/11
| | 227.698
| 227.698
|-
|-
| | 4\21
| 4\21
| | 228.571
| 228.571
|-
|-
| | 6/5
| 6/5
| | 228.910
| 228.910
|-
|-
| | 11/8
| 11/8
| | 230.264
| 230.264
|-
|-
| | 14/11
| 14/11
| | 230.415 (15 limit minimax)
| 230.415 (15 limit minimax)
|-
|-
| | 13/12
| 13/12
| | 230.714
| 230.714
|-
|-
| | 5\26
| 5\26
| | 230.769
| 230.769
|-
|-
| | 10/9
| 10/9
| | 231.085 (9, 11 and 13 limit minimax)
| 231.085 (9, 11 and 13 limit minimax)
|-
|-
| | 8/7
| 8/7
| | 231.174 (7 limit minimax)
| 231.174 (7 limit minimax)
|-
|-
| | [0 17 -6 -6 6>
| [0 17 -6 -6 6>
| | 231.294 (11 limit least squares)
| 231.294 (11 limit least squares)
|-
|-
| | 52521875/177147
| 52521875/177147
| | 231.298 (7 limit least squares)
| 231.298 (7 limit least squares)
|-
|-
| | 129140163/1500625
| 129140163/1500625
| | 232.418 (9 limit least squares)
| 232.418 (9 limit least squares)
|-
|-
| | [0 63 -20 -20 22 -6>
| [0 63 -20 -20 22 -6>
| | 231.250 (13 limit least squares)
| 231.250 (13 limit least squares)
|-
|-
| | [0 66 -17 -23 25 -7>
| [0 66 -17 -23 25 -7>
| | 231.399 (15 limit least squares)
| 231.399 (15 limit least squares)
|-
|-
| | 12\62
| 12\62
| | 232.258
| 232.258
|-
|-
| | 18/13
| 18/13
| | 232.676
| 232.676
|-
|-
| | 7/6
| 7/6
| | 233.282
| 233.282
|-
|-
| | 9/7
| 9/7
| | 233.583
| 233.583
|-
|-
| | 4/3
| 4/3
| | 233.985
| 233.985
|-
|-
| | 14/13
| 14/13
| | 235.851
| 235.851
|-
|-
| | 15/14
| 15/14
| | 239.814
| 239.814
|-
|-
| | 16/13
| 16/13
| | 240.528
| 240.528
|-
|-
| | 16/15
| 16/15
| | 244.134
| 244.134
|-
|-
| | 15/13
| 15/13
| | 247.741
| 247.741
|-
|-
| | 11/9
| 11/9
| | 252.592
| 252.592
|}
|}


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In 8/7 eigenmonzo tuning
In 8/7 eigenmonzo tuning
[[Category:lemba]]
 
[[Category:listen]]
[[Category:Lemba]]
[[Category:todo:add_definition]]
[[Category:Listen]]
[[Category:tuning]]
[[Category:Temperament]]
[[Category:Tuning]]
 
{{Todo|add definition|cleanup<!-- monzos -->}}

Revision as of 13:18, 21 November 2020

See also

Spectrum of Lemba Tunings by Eigenmonzos

Gencom: [7/5 8/7; 45/44 50/49 65/64 78/77]

Gencom map: [<2 2 5 6 5 7|,[<0 3 -1 -1 5 1|]

Eigenmonzo Supermajor Second
5/4 213.686
15/11 221.016
12/11 224.681
3\16 225.000
13/10 227.107
11/10 227.501
13/11 227.698
4\21 228.571
6/5 228.910
11/8 230.264
14/11 230.415 (15 limit minimax)
13/12 230.714
5\26 230.769
10/9 231.085 (9, 11 and 13 limit minimax)
8/7 231.174 (7 limit minimax)
[0 17 -6 -6 6> 231.294 (11 limit least squares)
52521875/177147 231.298 (7 limit least squares)
129140163/1500625 232.418 (9 limit least squares)
[0 63 -20 -20 22 -6> 231.250 (13 limit least squares)
[0 66 -17 -23 25 -7> 231.399 (15 limit least squares)
12\62 232.258
18/13 232.676
7/6 233.282
9/7 233.583
4/3 233.985
14/13 235.851
15/14 239.814
16/13 240.528
16/15 244.134
15/13 247.741
11/9 252.592

Music

Lemba Suite (Prelude, Aria & Fugue) by Claudi Meneghin

In 8/7 eigenmonzo tuning

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