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11edo modes: Difference between revisions

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Some '''modes of [[11edo]]'''. Available, of course, in [[22edo]], [[33edo]], [[44edo]], etc. Add your very favourite ones here!
Some '''modes of [[11edo]]'''. Available, of course, in [[22edo]], [[33edo]], [[44edo]], etc. Add your very favourite ones here!


== [[Machine]] hexatonic (MOS 5L+1s, generator: 2\11) ==
== [[Machine]] hexatonic (MOS 5L 1s, generator: 2\11) ==
 
{| class="wikitable"
{| class="wikitable"
|-
|-
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The intervals of the LLsLLL mode (harmonics in bold):
The intervals of the LLsLLL mode (harmonics in bold):
{| class="wikitable sortable sorted"
{| class="wikitable sortable sorted"
|-
|-
! style="text-align:right" | Degree
! style="text-align: right;" | Degree
! | Cents
! Cents
! | Note name on C (22edo notation)
! Note name on C (22edo notation)
! | Approximate ratios
! Approximate ratios
! | #Gens up
! #Gens up
|-
|-
| | 1
| 1
| style="text-align:right;" | 0
| style="text-align: right;" | 0
| | C
| C
| | 1/1
| 1/1
| | 0
| 0
|-
|-
| | 2
| 2
| style="text-align:right;" | 218.18
| style="text-align: right;" | 218.18
| | D
| D
| | 8/7, 9/8, 17/15
| 8/7, 9/8, 17/15
| | +1
| +1
|-
|-
| | 3
| 3
| style="text-align:right;" | 436.36
| style="text-align: right;" | 436.36
| | E
| E
| | 9/7, 14/11, 22/17
| 9/7, 14/11, 22/17
| | +2
| +2
|-
|-
| | 4
| 4
| style="text-align:right;" | 545.45
| style="text-align: right;" | 545.45
| | Gb
| Gb
| | 11/8, 15/11
| 11/8, 15/11
| | -3
| -3
|-
|-
| | 5
| 5
| style="text-align:right;" | 763.63
| style="text-align: right;" | 763.63
| | Ab
| Ab
| | 11/7, 14/9, 17/11
| 11/7, 14/9, 17/11
| | -2
| -2
|-
|-
| | 6
| 6
| style="text-align:right;" | 981.81
| style="text-align: right;" | 981.81
| | Bb
| Bb
| | 7/4, 16/9, 30/17
| 7/4, 16/9, 30/17
| | -1
| -1
|}
|}


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|}
|}


The intervals of the symmetric LsLsLsL mode (harmonics in bold):


The intervals of the symmetric LsLsLsL mode (harmonics in bold):
{| class="wikitable sortable sorted"
{| class="wikitable sortable sorted"
|-
|-
! style="text-align:right" | Degree (1 = tonic)
! style="text-align: right;" | Degree (1 = tonic)
! | Cents
! Cents
! | Note name on C (22edo notation)
! Note name on C (22edo notation)
! | Approximate ratios
! Approximate ratios
! | #Gens up
! #Gens up
|-
|-
| | 1
| 1
| style="text-align:right;" | 0
| style="text-align: right;" | 0
| | C
| C
| | 1/1
| 1/1
| | 0
| 0
|-
|-
| | 2
| 2
| style="text-align:right;" | 218.18
| style="text-align: right;" | 218.18
| | D
| D
| | 8/7, 9/8, 17/15
| 8/7, 9/8, 17/15
| | -3
| -3
|-
|-
| | 3
| 3
| style="text-align:right;" | 327.27
| style="text-align: right;" | 327.27
| | Eb^
| Eb^
| | 6/5, 11/9, 17/14
| 6/5, 11/9, 17/14
| | +1
| +1
|-
|-
| | 4
| 4
| style="text-align:right;" | 545.45
| style="text-align: right;" | 545.45
| | F^
| F^
| | 11/8, 15/11
| 11/8, 15/11
| | -2
| -2
|-
|-
| | 5
| 5
| style="text-align:right;" | 654.54
| style="text-align: right;" | 654.54
| | Gv
| Gv
| | 16/11, 22/15
| 16/11, 22/15
| | +2
| +2
|-
|-
| | 6
| 6
| style="text-align:right;" | 872.72
| style="text-align: right;" | 872.72
| | Av
| Av
| | 5/3, 18/11, 28/17
| 5/3, 18/11, 28/17
| | -1
| -1
|-
|-
| | 7
| 7
| style="text-align:right;" | 981.81
| style="text-align: right;" | 981.81
| | Bb
| Bb
| | 7/4, 16/9, 30/17
| 7/4, 16/9, 30/17
| | +3
| +3
|}
|}


Assuming the symmetric 2121212 mode, the 1-4-7 chord is:
Assuming the symmetric 2121212 mode, the 1-4-7 chord is:
*8:11:14 on degrees 1 and 6
* 8:11:14 on degrees 1 and 6
*8:11:15 on degrees 3, 5, and 7
* 8:11:15 on degrees 3, 5, and 7
*44:56:77 (approx. 25:32:44) on degrees 2 and 4
* 44:56:77 (approx. 25:32:44) on degrees 2 and 4


===Modal harmony===
=== Modal harmony ===
{{main|Smitonic}}
{{main|Smitonic}}
The seven modes are, from brightest to darkest:
The seven modes are, from brightest to darkest:
Line 178: Line 178:


== [[Joan]] pentatonic (MOS 2L+3s, generator: 5\11) ==
== [[Joan]] pentatonic (MOS 2L+3s, generator: 5\11) ==
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 193: Line 192:


== [[Joan]] heptatonic (MOS 2L+5s, generator: 5\11) ==
== [[Joan]] heptatonic (MOS 2L+5s, generator: 5\11) ==
{| class="wikitable"
{| class="wikitable"
|-
|-
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== [[Joan]] nonatonic (MOS 2L+7s, generator: 5\11, pathological) ==
== [[Joan]] nonatonic (MOS 2L+7s, generator: 5\11) ==


{| class="wikitable"
{| class="wikitable"
Line 238: Line 236:
{| class="wikitable sortable sorted"
{| class="wikitable sortable sorted"
|-
|-
! style="text-align:right" | Degree
! style="text-align: right;" | Degree
! | Cents
! Cents
! | Note name on C (22edo notation)
! Note name on C (22edo notation)
! | Approximate ratios
! Approximate ratios
! | #Gens up
! #Gens up
|-
|-
| | 1
| 1
| style="text-align:right;" | 0
| style="text-align: right;" | 0
| | C
| C
| | 1/1
| 1/1
| | 0
| 0
|-
|-
| | 2
| 2
| style="text-align:right;" | 218.18
| style="text-align: right;" | 218.18
| | D
| D
| | 8/7, 9/8, 17/15
| 8/7, 9/8, 17/15
| | +7
| +7
|-
|-
| | 3
| 3
| style="text-align:right;" | 327.27
| style="text-align: right;" | 327.27
| | Eb^
| Eb^
| | 6/5, 11/9, 17/14
| 6/5, 11/9, 17/14
| | +5
| +5
|-
|-
| | 4
| 4
| style="text-align:right;" | 436.36
| style="text-align: right;" | 436.36
| | E
| E
| | 9/7, 14/11, 22/17
| 9/7, 14/11, 22/17
| | +3
| +3
|-
|-
| | 5
| 5
| style="text-align:right;" | 545.45
| style="text-align: right;" | 545.45
| | F^
| F^
| | 11/8, 15/11
| 11/8, 15/11
| | +1
| +1
|-
|-
| | 6
| 6
| style="text-align:right;" | 654.54
| style="text-align: right;" | 654.54
| | Gv
| Gv
| | 16/11, 22/15
| 16/11, 22/15
| | -1
| -1
|-
|-
| | 7
| 7
| style="text-align:right;" | 872.73
| style="text-align: right;" | 872.73
| | Av
| Av
| | 5/3, 18/11, 28/17
| 5/3, 18/11, 28/17
| | +6
| +6
|-
|-
| | 8
| 8
| style="text-align:right;" | 981.81
| style="text-align: right;" | 981.81
| | Bb
| Bb
| | 7/4, 16/9, 30/17
| 7/4, 16/9, 30/17
| | +4
| +4
|-
|-
| | 9
| 9
| style="text-align:right;" | 1090.90
| style="text-align: right;" | 1090.90
| | Bv
| Bv
| | 15/8, 17/9, 28/15, 32/17
| 15/8, 17/9, 28/15, 32/17
| | +2
| +2
|}
|}


== Swooning Rushes ([[MOS Cradle]]) ==
== Swooning Rushes ([[MOS Cradle]]) ==
{| class="wikitable"
{| class="wikitable"
|-
|-
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|}
|}


[[Category:Theory]]
{{Navbox scale gallery}}
[[Category:Catalog]]
 
[[Category:Lists of scales]]
[[Category:11edo]]
[[Category:11edo]]
[[Category:Modes]]
[[Category:Modes]]
Retrieved from "https://en.xen.wiki/w/11edo_modes"