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11edo: Difference between revisions

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The second approach preserves the ''harmonic'' meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 11edo "on the fly".
The second approach preserves the ''harmonic'' meaning of sharp/flat, major/minor and aug/dim, in that the former is always further fifthwards on the chain of fifths than the latter. Sharp is lower in pitch than flat, and major/aug is narrower than minor/dim. While this approach may seem bizarre at first, interval arithmetic and chord names work as usual. Furthermore, conventional 12edo music can be directly translated to 11edo "on the fly".


The 11edo solfege in the table is derived from [[22edo_Solfege|22edo solfege]].
The 11edo solfege in the table is derived from [[22edo Solfege|22edo solfege]].


{| class="wikitable"
{| class="wikitable center-all right-1 right-2"
! Degree
! Size in <br> [[cent]]s
! Solfege
! Approximate Ratios*
! Sagittal <br> notation <br>(22edo subset)
! colspan="2" | [[Ups and Downs Notation|Up/down notation]] <br> with major wider <br> than minor
! colspan="2" | Up/down notation <br> with major narrower <br> than minor
! [[Tútim Dennsuul Wafiil|TDW]] <br> Machine <br> notation
|-
|-
! | Degree
| 0
! | Size in
| 0.00
 
| '''do'''
[[cent|Cents]]
| 1/1
! | Solfege
| A
! | Approximate Ratios*
| P1
! | Sagittal
| A
 
| P1
notation
| A
 
| Q\P#
(22edo subset)
! colspan="2" | [[Ups_and_Downs_Notation|Up/down notation]]
 
with major wider
 
than minor
! colspan="2" | Up/down notation
 
with major narrower
 
than minor
! | [[Tútim_Dennsuul_Wafiil|TDW]]
 
Machine
 
notation
|-
| style="text-align:center;" | 0
| style="text-align:right;" | 0.00
| style="text-align:center;" | '''do'''
| style="text-align:center;" | 1/1
| style="text-align:center;" | A
| style="text-align:center;" | P1
| style="text-align:center;" | A
| style="text-align:center;" | P1
| style="text-align:center;" | A
| style="text-align:center;" | Q\P#
|-
|-
| style="text-align:center;" | 1
| 1
| style="text-align:right;" | 109.09
| 109.09
| style="text-align:center;" | '''ra'''
| '''ra'''
| style="text-align:center;" | [[15/14|15/14]], [[16/15|16/15]], [[17/16|17/16]], [[18/17|18/17]]
| [[15/14]], [[16/15]], [[17/16]], [[18/17]]
| style="text-align:center;" | AII\ or B!!/
| AII\ or B!!/
| style="text-align:center;" | ^1, m2
| ^1, m2
| style="text-align:center;" | ^A, B
| ^A, B
| style="text-align:center;" | ^1, M2
| ^1, M2
| style="text-align:center;" | ^A, B
| ^A, B
| style="text-align:center;" | Q#\Rb
| Q#\Rb
|-
|-
| style="text-align:center;" | 2
| 2
| style="text-align:right;" | 218.18
| 218.18
| style="text-align:center;" | '''re'''
| '''re'''
| style="text-align:center;" | [[8/7|8/7]], [[9/8|9/8]], [[17/15|17/15]]
| [[8/7]], [[9/8]], [[17/15]]
| style="text-align:center;" | B
| B
| style="text-align:center;" | ~2, m3
| ~2, m3
| style="text-align:center;" | ^B, Cb
| ^B, Cb
| style="text-align:center;" | ~2, M3
| ~2, M3
| style="text-align:center;" | ^B, C#
| ^B, C#
| style="text-align:center;" | R
| R
|-
|-
| style="text-align:center;" | 3
| 3
| style="text-align:right;" | 327.27
| 327.27
| style="text-align:center;" | '''me'''
| '''me'''
| style="text-align:center;" | [[6/5|6/5]], [[11/9|11/9]], [[17/14|17/14]]
| [[6/5]], [[11/9]], [[17/14]]
| style="text-align:center;" | C/I or BII\ or D\!!/
| C/I or BII\ or D\!!/
| style="text-align:center;" | M2, ~3
| M2, ~3
| style="text-align:center;" | B#, vC
| B#, vC
| style="text-align:center;" | m2, ~3
| m2, ~3
| style="text-align:center;" | Bb, vC
| Bb, vC
| style="text-align:center;" | R#\Sb
| R#\Sb
|-
|-
| style="text-align:center;" | 4
| 4
| style="text-align:right;" | 436.36
| 436.36
| style="text-align:center;" | '''mo'''
| '''mo'''
| style="text-align:center;" | [[9/7|9/7]], [[14/11|14/11]], [[22/17|22/17]]
| [[9/7]], [[14/11]], [[22/17]]
| style="text-align:center;" | D\! or C/II\
| D\! or C/II\
| style="text-align:center;" | M3, v4
| M3, v4
| style="text-align:center;" | C, vD
| C, vD
| style="text-align:center;" | m3, v4
| m3, v4
| style="text-align:center;" | C, vD
| C, vD
| style="text-align:center;" | S
| S
|-
|-
| style="text-align:center;" | 5
| 5
| style="text-align:right;" | 545.45
| 545.45
| style="text-align:center;" | '''fu'''
| '''fu'''
| style="text-align:center;" | [[11/8|11/8]], [[15/11|15/11]]
| [[11/8]], [[15/11]]
| style="text-align:center;" | D/I or E\!!/
| D/I or E\!!/
| style="text-align:center;" | P4, v5
| P4, v5
| style="text-align:center;" | D, vE
| D, vE
| style="text-align:center;" | P4, v5
| P4, v5
| style="text-align:center;" | D, vE
| D, vE
| style="text-align:center;" | S#\Tb
| S#\Tb
|-
|-
| style="text-align:center;" | 6
| 6
| style="text-align:right;" | 654.55
| 654.55
| style="text-align:center;" | '''su'''
| '''su'''
| style="text-align:center;" | [[16/11|16/11]], [[22/15|22/15]]
| [[16/11]], [[22/15]]
| style="text-align:center;" | E\! or D/II\
| E\! or D/II\
| style="text-align:center;" | ^4, P5
| ^4, P5
| style="text-align:center;" | ^D, E
| ^D, E
| style="text-align:center;" | ^4, P5
| ^4, P5
| style="text-align:center;" | ^D, E
| ^D, E
| style="text-align:center;" | T
| T
|-
|-
| style="text-align:center;" | 7
| 7
| style="text-align:right;" | 763.64
| 763.64
| style="text-align:center;" | '''lo'''
| '''lo'''
| style="text-align:center;" | [[11/7|11/7]], [[14/9|14/9]], [[17/11|17/11]]
| [[11/7]], [[14/9]], [[17/11]]
| style="text-align:center;" | F
| F
| style="text-align:center;" | ^5, m6
| ^5, m6
| style="text-align:center;" | ^E, Fb
| ^E, Fb
| style="text-align:center;" | ^5, M6
| ^5, M6
| style="text-align:center;" | ^E, F#
| ^E, F#
| style="text-align:center;" | T#\Ub
| T#\Ub
|-
|-
| style="text-align:center;" | 8
| 8
| style="text-align:right;" | 872.73
| 872.73
| style="text-align:center;" | '''la'''
| '''la'''
| style="text-align:center;" | [[5/3|5/3]], [[18/11|18/11]], [[28/17|28/17]]
| [[5/3]], [[18/11]], [[28/17]]
| style="text-align:center;" | FII\ or G!!/
| FII\ or G!!/
| style="text-align:center;" | ~6, m7
| ~6, m7
| style="text-align:center;" | vF, Gb
| vF, Gb
| style="text-align:center;" | ~6, M7
| ~6, M7
| style="text-align:center;" | vF, G#
| vF, G#
| style="text-align:center;" | U
| U
|-
|-
| style="text-align:center;" | 9
| 9
| style="text-align:right;" | 981.82
| 981.82
| style="text-align:center;" | '''ta'''
| '''ta'''
| style="text-align:center;" | [[7/4|7/4]], [[16/9|16/9]], [[30/17|30/17]]
| [[7/4]], [[16/9]], [[30/17]]
| style="text-align:center;" | G
| G
| style="text-align:center;" | M6, ~7
| M6, ~7
| style="text-align:center;" | F, vG
| F, vG
| style="text-align:center;" | m6, ~7
| m6, ~7
| style="text-align:center;" | F, vG
| F, vG
| style="text-align:center;" | U#\Pb
| U#\Pb
|-
|-
| style="text-align:center;" | 10
| 10
| style="text-align:right;" | 1090.91
| 1090.91
| style="text-align:center;" | '''ti'''
| '''ti'''
| style="text-align:center;" | [[15/8|15/8]], [[17/9|17/9]], [[28/15|28/15]], [[32/17|32/17]]
| [[15/8]], [[17/9]], [[28/15]], [[32/17]]
| style="text-align:center;" | GII\ or A!!/
| GII\ or A!!/
| style="text-align:center;" | M7, v8
| M7, v8
| style="text-align:center;" | G, vAv
| G, vAv
| style="text-align:center;" | m7, v8
| m7, v8
| style="text-align:center;" | G, vAv
| G, vAv
| style="text-align:center;" | P\Qb
| P\Qb
|-
|-
| style="text-align:center;" | 11
| 11
| style="text-align:right;" | 1200.00
| 1200.00
| style="text-align:center;" | '''do'''
| '''do'''
| style="text-align:center;" | 2/1
| 2/1
| style="text-align:center;" | A
| A
| style="text-align:center;" | P8
| P8
| style="text-align:center;" | A
| A
| style="text-align:center;" | P8
| P8
| style="text-align:center;" | A
| A
| style="text-align:center;" | Q\P#
| Q\P#
|}
|}
*in 2.7.9.11.15.17 subgroup
*in 2.7.9.11.15.17 subgroup


11edo in [[Sagittal_notation|Sagittal notation]]:
11edo in [[Sagittal notation]]:


[[File:Sagittal11EDO.jpg|alt=Sagittal11EDO.jpg|Sagittal11EDO.jpg]]
[[File:Sagittal11EDO.jpg|alt=Sagittal11EDO.jpg|Sagittal11EDO.jpg]]
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