Xenharmonic Wiki

53edo: Difference between revisions

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autopatrolled, Sysops
3,990 edits
added a 53-edo spiral pic, also updated the ups and down notation (Cv --> vC)
Line 92: Line 92:
| style="text-align:center;" | ^1
| style="text-align:center;" | ^1
| style="text-align:center;" | up unison
| style="text-align:center;" | up unison
| style="text-align:center;" | D^
| style="text-align:center;" | ^D
| |  
| |  
|-
|-
Line 107: Line 107:


double-down minor 2nd
double-down minor 2nd
| style="text-align:center;" | D^^,
| style="text-align:center;" | ^^D,


Ebvv
vvEb
| | [[Quartonic|Quartonic]]
| | [[Quartonic|Quartonic]]
|-
|-
Line 120: Line 120:
| style="text-align:center;" | vm2
| style="text-align:center;" | vm2
| style="text-align:center;" | downminor 2nd
| style="text-align:center;" | downminor 2nd
| style="text-align:center;" | Ebv
| style="text-align:center;" | vEb
| |  
| |  
|-
|-
Line 142: Line 142:
| style="text-align:center;" | ^m2
| style="text-align:center;" | ^m2
| style="text-align:center;" | upminor 2nd
| style="text-align:center;" | upminor 2nd
| style="text-align:center;" | Eb^
| style="text-align:center;" | ^Eb
| |  
| |  
|-
|-
Line 153: Line 153:
| style="text-align:center;" | v~2
| style="text-align:center;" | v~2
| style="text-align:center;" | downmid 2nd
| style="text-align:center;" | downmid 2nd
| style="text-align:center;" | Eb^^
| style="text-align:center;" | ^^Eb
| |  
| |  
|-
|-
Line 164: Line 164:
| style="text-align:center;" | ^~2
| style="text-align:center;" | ^~2
| style="text-align:center;" | upmid 2nd
| style="text-align:center;" | upmid 2nd
| style="text-align:center;" | Evv
| style="text-align:center;" | vvE
| | [[Hemikleismic|Hemikleismic]]
| | [[Hemikleismic|Hemikleismic]]
|-
|-
Line 175: Line 175:
| style="text-align:center;" | vM2
| style="text-align:center;" | vM2
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | Ev
| style="text-align:center;" | vE
| |  
| |  
|-
|-
Line 197: Line 197:
| style="text-align:center;" | ^M2
| style="text-align:center;" | ^M2
| style="text-align:center;" | upmajor 2nd
| style="text-align:center;" | upmajor 2nd
| style="text-align:center;" | E^
| style="text-align:center;" | ^E
| |  
| |  
|-
|-
Line 212: Line 212:


double-down minor 3rd
double-down minor 3rd
| style="text-align:center;" | E^^,
| style="text-align:center;" | ^^E,


Fvv
vvF
| | [[Hemischis|Hemischis]]
| | [[Hemischis|Hemischis]]
|-
|-
Line 225: Line 225:
| style="text-align:center;" | vm3
| style="text-align:center;" | vm3
| style="text-align:center;" | downminor 3rd
| style="text-align:center;" | downminor 3rd
| style="text-align:center;" | Fv
| style="text-align:center;" | vF
| | [[Orwell|Orwell]]
| | [[Orwell|Orwell]]
|-
|-
Line 247: Line 247:
| style="text-align:center;" | ^m3
| style="text-align:center;" | ^m3
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | F^
| style="text-align:center;" | ^F
| | [[Hanson|Hanson]]/[[catakleismic|Catakleismic]]
| | [[Hanson|Hanson]]/[[catakleismic|Catakleismic]]
|-
|-
Line 258: Line 258:
| style="text-align:center;" | v~3
| style="text-align:center;" | v~3
| style="text-align:center;" | downmid 3rd
| style="text-align:center;" | downmid 3rd
| style="text-align:center;" | F^^
| style="text-align:center;" | ^^F
| | [[Amity|Amity]]/[[Hitchcock|Hitchcock]]
| | [[Amity|Amity]]/[[Hitchcock|Hitchcock]]
|-
|-
Line 269: Line 269:
| style="text-align:center;" | ^~3
| style="text-align:center;" | ^~3
| style="text-align:center;" | upmid 3rd
| style="text-align:center;" | upmid 3rd
| style="text-align:center;" | F#vv
| style="text-align:center;" | vvF#
| |  
| |  
|-
|-
Line 280: Line 280:
| style="text-align:center;" | vM3
| style="text-align:center;" | vM3
| style="text-align:center;" | downmajor 3rd
| style="text-align:center;" | downmajor 3rd
| style="text-align:center;" | F#v
| style="text-align:center;" | vF#
| |  
| |  
|-
|-
Line 302: Line 302:
| style="text-align:center;" | ^M3
| style="text-align:center;" | ^M3
| style="text-align:center;" | upmajor 3rd
| style="text-align:center;" | upmajor 3rd
| style="text-align:center;" | F#^
| style="text-align:center;" | ^F#
| | [[Hamity|Hamity]]
| | [[Hamity|Hamity]]
|-
|-
Line 317: Line 317:


double-down 4th
double-down 4th
| style="text-align:center;" | F#^^,
| style="text-align:center;" | ^^F#,


Gvv
vvG
| |  
| |  
|-
|-
Line 330: Line 330:
| style="text-align:center;" | v4
| style="text-align:center;" | v4
| style="text-align:center;" | down 4th
| style="text-align:center;" | down 4th
| style="text-align:center;" | Gv
| style="text-align:center;" | vG
| | [[Vulture|Vulture]]/[[Buzzard|Buzzard]]
| | [[Vulture|Vulture]]/[[Buzzard|Buzzard]]
|-
|-
Line 352: Line 352:
| style="text-align:center;" | ^4
| style="text-align:center;" | ^4
| style="text-align:center;" | up 4th
| style="text-align:center;" | up 4th
| style="text-align:center;" | G^
| style="text-align:center;" | ^G
| |  
| |  
|-
|-
Line 361: Line 361:
|695.55 (2B7.8C<sub>16</sub>)
|695.55 (2B7.8C<sub>16</sub>)
| style="text-align:center;" | 11/8, 15/11
| style="text-align:center;" | 11/8, 15/11
| style="text-align:center;" | ^^4
| style="text-align:center;" | v~4
| style="text-align:center;" | double-up 4th
| style="text-align:center;" | downmid 4th
| style="text-align:center;" | G^^
| style="text-align:center;" | ^^G
| |  
| |  
|-
|-
Line 372: Line 372:
|724.53 (2D4.87<sub>16</sub>)
|724.53 (2D4.87<sub>16</sub>)
| style="text-align:center;" | 18/13
| style="text-align:center;" | 18/13
| style="text-align:center;" | vvA4,
| style="text-align:center;" | ^~4,


vd5
vd5
| style="text-align:center;" | double-down aug 4th,
| style="text-align:center;" | upmid 4th,


downdim 5th
downdim 5th
| style="text-align:center;" | G#vv,
| style="text-align:center;" | vvG#,


Abv
vAb
| | [[Tricot|Tricot]]
| | [[Tricot|Tricot]]
|-
|-
Line 395: Line 395:


dim 5th
dim 5th
| style="text-align:center;" | G#v,
| style="text-align:center;" | vG#,


Ab
Ab
Line 414: Line 414:
| style="text-align:center;" | G#,
| style="text-align:center;" | G#,


Ab^
^Ab
| |  
| |  
|-
|-
Line 425: Line 425:
| style="text-align:center;" | ^A4,
| style="text-align:center;" | ^A4,


^^d5
v~5
| style="text-align:center;" | upaug 4th,
| style="text-align:center;" | upaug 4th,


double-up dim 5th
downmid 5th
| style="text-align:center;" | G#^,
| style="text-align:center;" | ^G#,


Ab^^
^^Ab
| |  
| |  
|-
|-
Line 440: Line 440:
|840.45 (348.74<sub>16</sub>)
|840.45 (348.74<sub>16</sub>)
| style="text-align:center;" | 16/11, 22/15
| style="text-align:center;" | 16/11, 22/15
| style="text-align:center;" | vv5
| style="text-align:center;" | ^~5
| style="text-align:center;" | double-down 5th
| style="text-align:center;" | upmid 5th
| style="text-align:center;" | Avv
| style="text-align:center;" | vvA
| |  
| |  
|-
|-
Line 453: Line 453:
| style="text-align:center;" | v5
| style="text-align:center;" | v5
| style="text-align:center;" | down 5th
| style="text-align:center;" | down 5th
| style="text-align:center;" | Av
| style="text-align:center;" | vA
| |  
| |  
|-
|-
Line 475: Line 475:
| style="text-align:center;" | ^5
| style="text-align:center;" | ^5
| style="text-align:center;" | up 5th
| style="text-align:center;" | up 5th
| style="text-align:center;" | A^
| style="text-align:center;" | ^A
| |  
| |  
|-
|-
Line 490: Line 490:


double-down minor 6th
double-down minor 6th
| style="text-align:center;" | A^^,
| style="text-align:center;" | ^^A,


Bbvv
vvBb
| |  
| |  
|-
|-
Line 503: Line 503:
| style="text-align:center;" | vm6
| style="text-align:center;" | vm6
| style="text-align:center;" | downminor 6th
| style="text-align:center;" | downminor 6th
| style="text-align:center;" | Bbv
| style="text-align:center;" | vBb
| |  
| |  
|-
|-
Line 525: Line 525:
| style="text-align:center;" | ^m6
| style="text-align:center;" | ^m6
| style="text-align:center;" | upminor 6th
| style="text-align:center;" | upminor 6th
| style="text-align:center;" | Bb^
| style="text-align:center;" | ^Bb
| |  
| |  
|-
|-
Line 536: Line 536:
| style="text-align:center;" | v~6
| style="text-align:center;" | v~6
| style="text-align:center;" | downmid 6th
| style="text-align:center;" | downmid 6th
| style="text-align:center;" | Bb^^
| style="text-align:center;" | ^^Bb
| |  
| |  
|-
|-
Line 547: Line 547:
| style="text-align:center;" | ^~6
| style="text-align:center;" | ^~6
| style="text-align:center;" | upmid 6th
| style="text-align:center;" | upmid 6th
| style="text-align:center;" | Bvv
| style="text-align:center;" | vvB
| |  
| |  
|-
|-
Line 558: Line 558:
| style="text-align:center;" | vM6
| style="text-align:center;" | vM6
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | Bv
| style="text-align:center;" | vB
| |  
| |  
|-
|-
Line 580: Line 580:
| style="text-align:center;" | ^M6
| style="text-align:center;" | ^M6
| style="text-align:center;" | upmajor 6th
| style="text-align:center;" | upmajor 6th
| style="text-align:center;" | B^
| style="text-align:center;" | ^B
| |  
| |  
|-
|-
Line 595: Line 595:


double-down minor 7th
double-down minor 7th
| style="text-align:center;" | B^^,
| style="text-align:center;" | ^^B,


Cvv
vvC
| |  
| |  
|-
|-
Line 608: Line 608:
| style="text-align:center;" | vm7
| style="text-align:center;" | vm7
| style="text-align:center;" | downminor 7th
| style="text-align:center;" | downminor 7th
| style="text-align:center;" | Cv
| style="text-align:center;" | vC
| |  
| |  
|-
|-
Line 630: Line 630:
| style="text-align:center;" | ^m7
| style="text-align:center;" | ^m7
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | C^
| style="text-align:center;" | ^C
| |  
| |  
|-
|-
Line 641: Line 641:
| style="text-align:center;" | v~7
| style="text-align:center;" | v~7
| style="text-align:center;" | downmid 7th
| style="text-align:center;" | downmid 7th
| style="text-align:center;" | C^^
| style="text-align:center;" | ^^C
| |  
| |  
|-
|-
Line 652: Line 652:
| style="text-align:center;" | ^~7
| style="text-align:center;" | ^~7
| style="text-align:center;" | upmid 7th
| style="text-align:center;" | upmid 7th
| style="text-align:center;" | C#vv
| style="text-align:center;" | vvC#
| |  
| |  
|-
|-
Line 663: Line 663:
| style="text-align:center;" | vM7
| style="text-align:center;" | vM7
| style="text-align:center;" | downmajor 7th
| style="text-align:center;" | downmajor 7th
| style="text-align:center;" | C#v
| style="text-align:center;" | vC#
| |  
| |  
|-
|-
Line 685: Line 685:
| style="text-align:center;" | ^M7
| style="text-align:center;" | ^M7
| style="text-align:center;" | upmajor 7th
| style="text-align:center;" | upmajor 7th
| style="text-align:center;" | C#^
| style="text-align:center;" | ^C#
| |  
| |  
|-
|-
Line 700: Line 700:


double-down 8ve
double-down 8ve
| style="text-align:center;" | C#^^,
| style="text-align:center;" | ^^C#,


Dvv
vvD
| |  
| |  
|-
|-
Line 713: Line 713:
| style="text-align:center;" | v8
| style="text-align:center;" | v8
| style="text-align:center;" | down 8ve
| style="text-align:center;" | down 8ve
| style="text-align:center;" | Dv
| style="text-align:center;" | vD
| |  
| |  
|-
|-
Line 738: Line 738:
| style="text-align:center;" | downminor
| style="text-align:center;" | downminor
| style="text-align:center;" | zo
| style="text-align:center;" | zo
| style="text-align:center;" | {a, b, 0, 1}
| style="text-align:center;" | (a, b, 0, 1)
| style="text-align:center;" | 7/6, 7/4
| style="text-align:center;" | 7/6, 7/4
|-
|-
| style="text-align:center;" | minor
| style="text-align:center;" | minor
| style="text-align:center;" | fourthward wa
| style="text-align:center;" | fourthward wa
| style="text-align:center;" | {a, b}, b &lt; -1
| style="text-align:center;" | (a, b) with b &lt; -1
| style="text-align:center;" | 32/27, 16/9
| style="text-align:center;" | 32/27, 16/9
|-
|-
| style="text-align:center;" | upminor
| style="text-align:center;" | upminor
| style="text-align:center;" | gu
| style="text-align:center;" | gu
| style="text-align:center;" | {a, b, -1}
| style="text-align:center;" | (a, b, -1)
| style="text-align:center;" | 6/5, 9/5
| style="text-align:center;" | 6/5, 9/5
|-
|-
| style="text-align:center;" | downmid
| style="text-align:center;" | downmid
| style="text-align:center;" | ilo
| style="text-align:center;" | ilo
| style="text-align:center;" | {a, b, 0, 0, 1}
| style="text-align:center;" | (a, b, 0, 0, 1)
| style="text-align:center;" | 11/9, 11/6
| style="text-align:center;" | 11/9, 11/6
|-
|-
| style="text-align:center;" | upmid
| style="text-align:center;" | upmid
| style="text-align:center;" | lu
| style="text-align:center;" | lu
| style="text-align:center;" | {a, b, 0, 0, -1}
| style="text-align:center;" | (a, b, 0, 0, -1)
| style="text-align:center;" | 12/11, 18/11
| style="text-align:center;" | 12/11, 18/11
|-
|-
| style="text-align:center;" | downmajor
| style="text-align:center;" | downmajor
| style="text-align:center;" | yo
| style="text-align:center;" | yo
| style="text-align:center;" | {a, b, 1}
| style="text-align:center;" | (a, b, 1)
| style="text-align:center;" | 5/4, 5/3
| style="text-align:center;" | 5/4, 5/3
|-
|-
| style="text-align:center;" | major
| style="text-align:center;" | major
| style="text-align:center;" | fifthward wa
| style="text-align:center;" | fifthward wa
| style="text-align:center;" | {a, b}, b &gt; 1
| style="text-align:center;" | (a, b) with b &gt; 1
| style="text-align:center;" | 9/8, 27/16
| style="text-align:center;" | 9/8, 27/16
|-
|-
| style="text-align:center;" | upmajor
| style="text-align:center;" | upmajor
| style="text-align:center;" | ru
| style="text-align:center;" | ru
| style="text-align:center;" | {a, b, 0, -1}
| style="text-align:center;" | (a, b, 0, -1)
| style="text-align:center;" | 9/7, 12/7
| style="text-align:center;" | 9/7, 12/7
|}
|}
All 53edo chords can be named using ups and downs. Here are the zo, gu, ilo, yo and ru triads:
All 53edo chords can be named using ups and downs. Here are the zo, gu, ilo, lu, yo and ru triads:


{| class="wikitable"
{| class="wikitable"
Line 790: Line 790:
| style="text-align:center;" | 6:7:9
| style="text-align:center;" | 6:7:9
| style="text-align:center;" | 0-12-31
| style="text-align:center;" | 0-12-31
| style="text-align:center;" | C Ebv G
| style="text-align:center;" | C vEb G
| style="text-align:center;" | C.vm
| style="text-align:center;" | Cvm
| style="text-align:center;" | C downminor
| style="text-align:center;" | C downminor
|-
|-
Line 797: Line 797:
| style="text-align:center;" | 10:12:15
| style="text-align:center;" | 10:12:15
| style="text-align:center;" | 0-14-31
| style="text-align:center;" | 0-14-31
| style="text-align:center;" | C Eb^ G
| style="text-align:center;" | C ^Eb G
| style="text-align:center;" | C.^m
| style="text-align:center;" | C^m
| style="text-align:center;" | C upminor
| style="text-align:center;" | C upminor
|-
|-
Line 804: Line 804:
| style="text-align:center;" | 18:22:27
| style="text-align:center;" | 18:22:27
| style="text-align:center;" | 0-15-31
| style="text-align:center;" | 0-15-31
| style="text-align:center;" | C Eb^^ G
| style="text-align:center;" | C ^^Eb G
| style="text-align:center;" | C.v~
| style="text-align:center;" | Cv~
| style="text-align:center;" | C downmid
| style="text-align:center;" | C downmid
|-
| style="text-align:center;" | lu
| style="text-align:center;" | 22:27:33
| style="text-align:center;" | 0-16-31
| style="text-align:center;" | C vvE G
| style="text-align:center;" | C^~
| style="text-align:center;" | C upmid
|-
|-
| style="text-align:center;" | yo
| style="text-align:center;" | yo
| style="text-align:center;" | 4:5:6
| style="text-align:center;" | 4:5:6
| style="text-align:center;" | 0-17-31
| style="text-align:center;" | 0-17-31
| style="text-align:center;" | C Ev G
| style="text-align:center;" | C vE G
| style="text-align:center;" | C.v
| style="text-align:center;" | Cv
| style="text-align:center;" | C downmajor or C dot down
| style="text-align:center;" | C downmajor or C down
|-
|-
| style="text-align:center;" | ru
| style="text-align:center;" | ru
| style="text-align:center;" | 14:18:27
| style="text-align:center;" | 14:18:27
| style="text-align:center;" | 0-19-31
| style="text-align:center;" | 0-19-31
| style="text-align:center;" | C E^ G
| style="text-align:center;" | C ^E G
| style="text-align:center;" | C.^
| style="text-align:center;" | C^
| style="text-align:center;" | C upmajor or C dot up
| style="text-align:center;" | C upmajor or C up
|}
|}
For a more complete list, see [[Ups_and_Downs_Notation#Chord names in other EDOs|Ups and Downs Notation - Chord names in other EDOs]].
For a more complete list, see [[Ups_and_Downs_Notation#Chord names in other EDOs|Ups and Downs Notation - Chord names in other EDOs]].
This chart shows 53-edo in a 12-edo-friendly format.
[[File:53-edo spiral.png|702x702px]]


==Selected just intervals by error==
==Selected just intervals by error==
Retrieved from "https://en.xen.wiki/w/53edo"