Xenharmonic Wiki

27edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
m →Theory: adjust the paragraphs. "Allegedly BP comma" -> sensamagic comma
m →Intervals: reduce to one decimal place for cent values, per discussion on Discord. Sort intervals by integer limit. Mark inconsistently mapped intervals with italic. Fix the note. Style improvements
Line 23: Line 23:
{| class="wikitable center-all right-2 left-3"
{| class="wikitable center-all right-2 left-3"
|-
|-
! #
! #
! Cents
! Cents
! Approximate Ratios<ref group="note">{{sg|2.3.5.7.13.19&nbsp;[[subgroup]]}}</ref>
! Approximate ratios<ref group="note">{{sg|27et|limit=2.3.5.7.13.19-[[subgroup]]}}</ref>
! colspan="3" | [[Ups and downs notation|Ups and Downs Notation]]
! colspan="3" | [[Ups and downs notation]]
! [[Walker Brightness Notation]]
! [[Interval region]]s
! colspan="2" | [[Solfege|Solfeges]]
! colspan="2" | [[Solfege]]s
|-
|-
| 0
| 0
| 0.00
| 0.0
| [[1/1]]
| [[1/1]]
| P1
| P1
Line 41: Line 41:
|-
|-
| 1
| 1
| 44.44
| 44.4
| [[28/27]], [[36/35]], [[39/38]], [[49/48]], [[50/49]], [[81/80]]
| [[28/27]], [[36/35]], [[39/38]], [[49/48]], [[50/49]], ''[[81/80]]''
| ^1, m2
| ^1, m2
| up unison, minor 2nd
| up unison, minor 2nd
Line 51: Line 51:
|-
|-
| 2
| 2
| 88.89
| 88.9
| [[16/15]], [[21/20]], [[25/24]], [[19/18]], [[20/19]]
| ''[[16/15]]'', [[21/20]], [[25/24]], [[19/18]], [[20/19]]
| ^^1, ^m2
| ^^1, ^m2
| dup unison, upminor 2nd
| dup unison, upminor 2nd
Line 61: Line 61:
|-
|-
| 3
| 3
| 133.33
| 133.3
| [[15/14]], [[14/13]], [[13/12]]
| [[15/14]], [[14/13]], [[13/12]]
| vA1, ~2
| vA1, ~2
Line 71: Line 71:
|-
|-
| 4
| 4
| 177.78
| 177.8
| [[10/9]]
| [[10/9]]
| A1, vM2
| A1, vM2
Line 81: Line 81:
|-
|-
| 5
| 5
| 222.22
| 222.2
| [[8/7]], [[9/8]]
| [[8/7]], [[9/8]]
| M2
| M2
Line 91: Line 91:
|-
|-
| 6
| 6
| 266.67
| 266.7
| [[7/6]]
| [[7/6]]
| m3
| m3
Line 101: Line 101:
|-
|-
| 7
| 7
| 311.11
| 311.1
| [[6/5]], [[19/16]]
| [[6/5]], [[19/16]]
| ^m3
| ^m3
Line 111: Line 111:
|-
|-
| 8
| 8
| 355.56
| 355.6
| [[16/13]]
| [[16/13]]
| ~3
| ~3
Line 121: Line 121:
|-
|-
| 9
| 9
| 400.00
| 400.0
| [[5/4]], [[24/19]]
| [[5/4]], [[24/19]]
| vM3
| vM3
Line 131: Line 131:
|-
|-
| 10
| 10
| 444.44
| 444.4
| [[9/7]], [[13/10]]
| [[9/7]], [[13/10]]
| M3
| M3
Line 141: Line 141:
|-
|-
| 11
| 11
| 488.89
| 488.9
| [[4/3]]
| [[4/3]]
| P4
| P4
Line 151: Line 151:
|-
|-
| 12
| 12
| 533.33
| 533.3
| [[27/20]], [[48/35]], [[19/14]], [[26/19]]
| [[19/14]], [[26/19]], [[27/20]], [[48/35]]
| ^4
| ^4
| up 4th
| up 4th
Line 161: Line 161:
|-
|-
| 13
| 13
| 577.78
| 577.8
| [[7/5]], [[18/13]]
| [[7/5]], [[18/13]]
| ~4, ^d5
| ~4, ^d5
Line 171: Line 171:
|-
|-
| 14
| 14
| 622.22
| 622.2
| [[10/7]], [[13/9]]
| [[10/7]], [[13/9]]
| vA4, ~5
| vA4, ~5
Line 181: Line 181:
|-
|-
| 15
| 15
| 666.67
| 666.7
| [[40/27]], [[35/24]], [[19/13]], [[28/19]]
| [[19/13]], [[28/19]], [[35/24]], [[40/27]]
| v5
| v5
| down fifth
| down fifth
Line 191: Line 191:
|-
|-
| 16
| 16
| 711.11
| 711.1
| [[3/2]]
| [[3/2]]
| P5
| P5
Line 201: Line 201:
|-
|-
| 17
| 17
| 755.56
| 755.6
| [[14/9]], [[20/13]]
| [[14/9]], [[20/13]]
| m6
| m6
Line 211: Line 211:
|-
|-
| 18
| 18
| 800.00
| 800.0
| [[8/5]], [[19/12]]
| [[8/5]], [[19/12]]
| ^m6
| ^m6
Line 221: Line 221:
|-
|-
| 19
| 19
| 844.44
| 844.4
| [[13/8]]
| [[13/8]]
| ~6
| ~6
Line 231: Line 231:
|-
|-
| 20
| 20
| 888.89
| 888.9
| [[5/3]], [[32/19]]
| [[5/3]], [[32/19]]
| vM6
| vM6
Line 241: Line 241:
|-
|-
| 21
| 21
| 933.33
| 933.3
| [[12/7]]
| [[12/7]]
| M6
| M6
Line 251: Line 251:
|-
|-
| 22
| 22
| 977.78
| 977.8
| [[7/4]], [[16/9]]
| [[7/4]], [[16/9]]
| m7
| m7
Line 261: Line 261:
|-
|-
| 23
| 23
| 1022.22
| 1022.2
| [[9/5]]
| [[9/5]]
| ^m7
| ^m7
Line 271: Line 271:
|-
|-
| 24
| 24
| 1066.67
| 1066.7
| [[28/15]], [[13/7]], [[24/13]]
| [[13/7]], [[24/13]], [[28/15]]
| ~7
| ~7
| mid 7th
| mid 7th
Line 281: Line 281:
|-
|-
| 25
| 25
| 1111.11
| 1111.1
| [[15/8]], [[40/21]], [[48/25]], [[19/10]], [[36/19]]
| ''[[15/8]]'', [[19/10]], [[36/19]], [[40/21]], [[48/25]]
| vM7
| vM7
| downmajor 7th
| downmajor 7th
Line 291: Line 291:
|-
|-
| 26
| 26
| 1155.56
| 1155.6
| [[27/14]], [[35/18]], [[96/49]], [[49/25]], [[160/81]]
| [[27/14]], [[35/18]], [[49/25]], [[96/49]], ''[[160/81]]''
| M7
| M7
| major 7th
| major 7th
Line 301: Line 301:
|-
|-
| 27
| 27
| 1200.00
| 1200.0
| 2/1
| [[2/1]]
| P8
| P8
| 8ve
| 8ve
Line 317: Line 317:
|-
|-
! Quality
! Quality
! [[Color name|Color Name]]
! [[Color name]]
! Monzo Format
! Monzo format
! Examples
! Examples
|-
|-
Line 327: Line 327:
|-
|-
| fourthward wa
| fourthward wa
| {a, b}, b &lt; −1
| {a, b}, b < −1
| 32/27, 16/9
| 32/27, 16/9
|-
|-
Line 351: Line 351:
| rowspan="2" | major
| rowspan="2" | major
| fifthward wa
| fifthward wa
| {a, b}, b &gt; 1
| {a, b}, b > 1
| 9/8, 27/16
| 9/8, 27/16
|-
|-
Line 363: Line 363:
|-
|-
! [[Color notation|Color of the 3rd]]
! [[Color notation|Color of the 3rd]]
! JI Chord
! JI chord
! Notes as Edosteps
! Notes as edosteps
! Notes of C Chord
! Notes of C chord
! Written Name
! Written name
! Spoken Name
! Spoken name
|-
|-
| zo
| zo
Line 404: Line 404:
| C major or C
| C major or C
|}
|}
For a more complete list, see [[Ups and Downs Notation #Chords and Chord Progressions]]. See also the [[22edo]] page.
For a more complete list, see [[Ups and downs notation #Chords and chord progressions]]. See also the [[22edo]] page.


== Notation ==
== Notation ==
Retrieved from "https://en.xen.wiki/w/27edo"