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27edo: Difference between revisions

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autopatrolled, Sysops
3,990 edits
updated ups/down notation, general cleanup, added to the paragraph about quartertones notation
TallKite (talk | contribs)
autopatrolled, Sysops
3,990 edits
mNo edit summary
Line 20: Line 20:
! style="text-align:center;" | Cents
! style="text-align:center;" | Cents
! colspan="3" style="text-align:center;" | [[Ups_and_Downs_Notation|Ups and Downs Notation]]
! colspan="3" style="text-align:center;" | [[Ups_and_Downs_Notation|Ups and Downs Notation]]
! style="text-align:center;" | Solfege
! style="text-align:center;" | Approximate
! style="text-align:center;" | Approximate
Ratios*
Ratios*
! style="text-align:center;" | Solfege
|-
|-
| style="text-align:center;" | 0
| style="text-align:center;" | 0
Line 29: Line 29:
| style="text-align:center;" | perfect unison
| style="text-align:center;" | perfect unison
| style="text-align:center;" | D
| style="text-align:center;" | D
| style="text-align:center;" | do
| style="text-align:center;" | 1/1
| style="text-align:center;" | 1/1
| style="text-align:center;" | do
|-
|-
| style="text-align:center;" | 1
| style="text-align:center;" | 1
Line 37: Line 37:
| style="text-align:center;" | up-unison, minor 2nd
| style="text-align:center;" | up-unison, minor 2nd
| style="text-align:center;" | ^D, Eb
| style="text-align:center;" | ^D, Eb
| style="text-align:center;" | di
| style="text-align:center;" | 36/35, 49/48, 50/49
| style="text-align:center;" | 36/35, 49/48, 50/49
| style="text-align:center;" | di
|-
|-
| style="text-align:center;" | 2
| style="text-align:center;" | 2
Line 45: Line 45:
| style="text-align:center;" | upminor 2nd
| style="text-align:center;" | upminor 2nd
| style="text-align:center;" | ^Eb
| style="text-align:center;" | ^Eb
| style="text-align:center;" | ra
| style="text-align:center;" | 16/15, 21/20, 25/24
| style="text-align:center;" | 16/15, 21/20, 25/24
| style="text-align:center;" | ra
|-
|-
| style="text-align:center;" | 3
| style="text-align:center;" | 3
Line 53: Line 53:
| style="text-align:center;" | mid 2nd
| style="text-align:center;" | mid 2nd
| style="text-align:center;" | vvE
| style="text-align:center;" | vvE
| style="text-align:center;" | ru
| style="text-align:center;" | 14/13, 13/12
| style="text-align:center;" | 14/13, 13/12
| style="text-align:center;" | ru
|-
|-
| style="text-align:center;" | 4
| style="text-align:center;" | 4
Line 61: Line 61:
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | vE
| style="text-align:center;" | vE
| style="text-align:center;" | reh
| style="text-align:center;" | 10/9
| style="text-align:center;" | 10/9
| style="text-align:center;" | reh
|-
|-
| style="text-align:center;" | 5
| style="text-align:center;" | 5
Line 69: Line 69:
| style="text-align:center;" | major 2nd
| style="text-align:center;" | major 2nd
| style="text-align:center;" | E
| style="text-align:center;" | E
| style="text-align:center;" | re
| style="text-align:center;" | 8/7, 9/8
| style="text-align:center;" | 8/7, 9/8
| style="text-align:center;" | re
|-
|-
| style="text-align:center;" | 6
| style="text-align:center;" | 6
Line 77: Line 77:
| style="text-align:center;" | minor 3rd
| style="text-align:center;" | minor 3rd
| style="text-align:center;" | F
| style="text-align:center;" | F
| style="text-align:center;" | ma
| style="text-align:center;" | 7/6
| style="text-align:center;" | 7/6
| style="text-align:center;" | ma
|-
|-
| style="text-align:center;" | 7
| style="text-align:center;" | 7
Line 85: Line 85:
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | ^F
| style="text-align:center;" | ^F
| style="text-align:center;" | me
| style="text-align:center;" | 6/5
| style="text-align:center;" | 6/5
| style="text-align:center;" | me
|-
|-
| style="text-align:center;" | 8
| style="text-align:center;" | 8
Line 93: Line 93:
| style="text-align:center;" | mid 3rd
| style="text-align:center;" | mid 3rd
| style="text-align:center;" | ^^F
| style="text-align:center;" | ^^F
| style="text-align:center;" | mu
| style="text-align:center;" | 16/13
| style="text-align:center;" | 16/13
| style="text-align:center;" | mu
|-
|-
| style="text-align:center;" | 9
| style="text-align:center;" | 9
Line 101: Line 101:
| style="text-align:center;" | downmajor 3rd
| style="text-align:center;" | downmajor 3rd
| style="text-align:center;" | vF#
| style="text-align:center;" | vF#
| style="text-align:center;" | mi
| style="text-align:center;" | 5/4
| style="text-align:center;" | 5/4
| style="text-align:center;" | mi
|-
|-
| style="text-align:center;" | 10
| style="text-align:center;" | 10
Line 109: Line 109:
| style="text-align:center;" | major 3rd
| style="text-align:center;" | major 3rd
| style="text-align:center;" | F#
| style="text-align:center;" | F#
| style="text-align:center;" | mo
| style="text-align:center;" | 9/7, 13/10
| style="text-align:center;" | 9/7, 13/10
| style="text-align:center;" | mo
|-
|-
| style="text-align:center;" | 11
| style="text-align:center;" | 11
Line 117: Line 117:
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | G
| style="text-align:center;" | G
| style="text-align:center;" | fa
| style="text-align:center;" | 4/3
| style="text-align:center;" | 4/3
| style="text-align:center;" | fa
|-
|-
| style="text-align:center;" | 12
| style="text-align:center;" | 12
Line 125: Line 125:
| style="text-align:center;" | up 4th
| style="text-align:center;" | up 4th
| style="text-align:center;" | ^G
| style="text-align:center;" | ^G
| style="text-align:center;" | fih
| style="text-align:center;" | 49/36, 48/35
| style="text-align:center;" | 49/36, 48/35
| style="text-align:center;" | fih
|-
|-
| style="text-align:center;" | 13
| style="text-align:center;" | 13
Line 133: Line 133:
| style="text-align:center;" | mid 4th, updim 5th
| style="text-align:center;" | mid 4th, updim 5th
| style="text-align:center;" | ^^G, ^Ab
| style="text-align:center;" | ^^G, ^Ab
| style="text-align:center;" | fi
| style="text-align:center;" | 7/5, 18/13
| style="text-align:center;" | 7/5, 18/13
| style="text-align:center;" | fi
|-
|-
| style="text-align:center;" | 14
| style="text-align:center;" | 14
Line 141: Line 141:
| style="text-align:center;" | downaug 4th, mid 5th
| style="text-align:center;" | downaug 4th, mid 5th
| style="text-align:center;" | vG#, vvA
| style="text-align:center;" | vG#, vvA
| style="text-align:center;" | se
| style="text-align:center;" | 10/7, 13/9
| style="text-align:center;" | 10/7, 13/9
| style="text-align:center;" | se
|-
|-
| style="text-align:center;" | 15
| style="text-align:center;" | 15
Line 149: Line 149:
| style="text-align:center;" | down fifth
| style="text-align:center;" | down fifth
| style="text-align:center;" | vA
| style="text-align:center;" | vA
| style="text-align:center;" | sih
| style="text-align:center;" | 72/49, 35/24
| style="text-align:center;" | 72/49, 35/24
| style="text-align:center;" | sih
|-
|-
| style="text-align:center;" | 16
| style="text-align:center;" | 16
Line 157: Line 157:
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | A
| style="text-align:center;" | A
| style="text-align:center;" | so/sol
| style="text-align:center;" | 3/2
| style="text-align:center;" | 3/2
| style="text-align:center;" | so/sol
|-
|-
| style="text-align:center;" | 17
| style="text-align:center;" | 17
Line 165: Line 165:
| style="text-align:center;" | minor 6th
| style="text-align:center;" | minor 6th
| style="text-align:center;" | Bb
| style="text-align:center;" | Bb
| style="text-align:center;" | lo
| style="text-align:center;" | 14/9, 20/13
| style="text-align:center;" | 14/9, 20/13
| style="text-align:center;" | lo
|-
|-
| style="text-align:center;" | 18
| style="text-align:center;" | 18
Line 173: Line 173:
| style="text-align:center;" | upminor 6th
| style="text-align:center;" | upminor 6th
| style="text-align:center;" | ^Bb
| style="text-align:center;" | ^Bb
| style="text-align:center;" | le
| style="text-align:center;" | 8/5
| style="text-align:center;" | 8/5
| style="text-align:center;" | le
|-
|-
| style="text-align:center;" | 19
| style="text-align:center;" | 19
Line 181: Line 181:
| style="text-align:center;" | mid 6th
| style="text-align:center;" | mid 6th
| style="text-align:center;" | vvB
| style="text-align:center;" | vvB
| style="text-align:center;" | lu
| style="text-align:center;" | 13/8
| style="text-align:center;" | 13/8
| style="text-align:center;" | lu
|-
|-
| style="text-align:center;" | 20
| style="text-align:center;" | 20
Line 189: Line 189:
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | vB
| style="text-align:center;" | vB
| style="text-align:center;" | la
| style="text-align:center;" | 5/3
| style="text-align:center;" | 5/3
| style="text-align:center;" | la
|-
|-
| style="text-align:center;" | 21
| style="text-align:center;" | 21
Line 197: Line 197:
| style="text-align:center;" | major 6th
| style="text-align:center;" | major 6th
| style="text-align:center;" | B
| style="text-align:center;" | B
| style="text-align:center;" | li
| style="text-align:center;" | 12/7
| style="text-align:center;" | 12/7
| style="text-align:center;" | li
|-
|-
| style="text-align:center;" | 22
| style="text-align:center;" | 22
Line 205: Line 205:
| style="text-align:center;" | minor 7th
| style="text-align:center;" | minor 7th
| style="text-align:center;" | C
| style="text-align:center;" | C
| style="text-align:center;" | ta
| style="text-align:center;" | 7/4, 16/9
| style="text-align:center;" | 7/4, 16/9
| style="text-align:center;" | ta
|-
|-
| style="text-align:center;" | 23
| style="text-align:center;" | 23
Line 213: Line 213:
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | ^C
| style="text-align:center;" | ^C
| style="text-align:center;" | te
| style="text-align:center;" | 9/5
| style="text-align:center;" | 9/5
| style="text-align:center;" | te
|-
|-
| style="text-align:center;" | 24
| style="text-align:center;" | 24
Line 221: Line 221:
| style="text-align:center;" | mid 7th
| style="text-align:center;" | mid 7th
| style="text-align:center;" | ^^C
| style="text-align:center;" | ^^C
| style="text-align:center;" | tu
| style="text-align:center;" | 13/7, 24/13
| style="text-align:center;" | 13/7, 24/13
| style="text-align:center;" | tu
|-
|-
| style="text-align:center;" | 25
| style="text-align:center;" | 25
Line 229: Line 229:
| style="text-align:center;" | downmajor 7th
| style="text-align:center;" | downmajor 7th
| style="text-align:center;" | vC#
| style="text-align:center;" | vC#
| style="text-align:center;" | ti
| style="text-align:center;" | 40/21
| style="text-align:center;" | 40/21
| style="text-align:center;" | ti
|-
|-
| style="text-align:center;" | 26
| style="text-align:center;" | 26
Line 237: Line 237:
| style="text-align:center;" | major 7th
| style="text-align:center;" | major 7th
| style="text-align:center;" | C#
| style="text-align:center;" | C#
| style="text-align:center;" | da
| style="text-align:center;" | 35/18, 96/49, 49/25
| style="text-align:center;" | 35/18, 96/49, 49/25
| style="text-align:center;" | da
|-
|-
| style="text-align:center;" | 27
| style="text-align:center;" | 27
Line 245: Line 245:
| style="text-align:center;" | 8ve
| style="text-align:center;" | 8ve
| style="text-align:center;" | D
| style="text-align:center;" | D
| style="text-align:center;" | do
| style="text-align:center;" | 2/1
| style="text-align:center;" | 2/1
| style="text-align:center;" | do
|}
|}
*based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.
*based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.
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