Xenharmonic Wiki

53edo: Difference between revisions

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VisualWikitext
→Theory: vulture comma in monzo; big brother (lowercase); note 4096/4095
→Intervals: +125/108, 216/125, 125/81, 162/125; style
Line 30: Line 30:
! #
! #
! Cents
! Cents
! Approximate ratios*
! Approximate Ratios*
! colspan="3" | [[Ups and downs notation]]
! colspan="3" | [[Ups and downs notation|Ups and Downs Notation]]
! colspan="2" |[[Solfege|Solfeges]]
! colspan="2" | [[Solfege]]s
|-
|-
| 0
| 0
Line 40: Line 40:
| unison
| unison
| D
| D
|Da
| Da
| Do
| Do
|-
|-
Line 49: Line 49:
| up unison
| up unison
| ^D
| ^D
|Du
| Du
| Di
| Di
|-
|-
Line 58: Line 58:
| dup unison, dudminor 2nd
| dup unison, dudminor 2nd
| ^^D, vvEb
| ^^D, vvEb
|Di / Fre
| Di / Fre
| Daw
| Daw
|-
|-
Line 67: Line 67:
| dud-aug 1sn, downminor 2nd
| dud-aug 1sn, downminor 2nd
| vvD#, vEb
| vvD#, vEb
|Fro
| Fro
| Ro
| Ro
|-
|-
Line 76: Line 76:
| downaug 1sn, minor 2nd
| downaug 1sn, minor 2nd
| vD#, Eb
| vD#, Eb
|Fra
| Fra
| Rih
| Rih
|-
|-
Line 85: Line 85:
| aug 1sn, upminor 2nd
| aug 1sn, upminor 2nd
| D#, ^Eb
| D#, ^Eb
|Fru
| Fru
| Ra
| Ra
|-
|-
Line 94: Line 94:
| downmid 2nd
| downmid 2nd
| ^^Eb
| ^^Eb
|Fri
| Fri
| Ru
| Ru
|-
|-
Line 103: Line 103:
| upmid 2nd
| upmid 2nd
| vvE
| vvE
|Re
| Re
| Ruh
| Ruh
|-
|-
Line 112: Line 112:
| downmajor 2nd
| downmajor 2nd
| vE
| vE
|Ro
| Ro
| Reh
| Reh
|-
|-
Line 121: Line 121:
| major 2nd
| major 2nd
| E
| E
|Ra
| Ra
| Re
| Re
|-
|-
Line 130: Line 130:
| upmajor 2nd
| upmajor 2nd
| ^E
| ^E
|Ru
| Ru
| Ri
| Ri
|-
|-
| 11
| 11
| 249.06
| 249.06
| [[15/13]], [[144/125]]
| [[15/13]], [[144/125]], [[125/108]]
| ^^M2, <br>vvm3
| ^^M2, <br>vvm3
| dupmajor 2nd, <br>dudminor 3rd
| dupmajor 2nd, <br>dudminor 3rd
| ^^E, <br>vvF
| ^^E, <br>vvF
|Ri / Ne
| Ri / Ne
| Raw
| Raw
|-
|-
Line 148: Line 148:
| downminor 3rd
| downminor 3rd
| vF
| vF
|No
| No
| Ma
| Ma
|-
|-
Line 157: Line 157:
| minor 3rd
| minor 3rd
| F
| F
|Na
| Na
| Meh
| Meh
|-
|-
Line 166: Line 166:
| upminor 3rd
| upminor 3rd
| ^F
| ^F
|Nu
| Nu
| Me
| Me
|-
|-
Line 175: Line 175:
| downmid 3rd
| downmid 3rd
| ^^F
| ^^F
|Ni
| Ni
| Mu
| Mu
|-
|-
Line 184: Line 184:
| upmid 3rd
| upmid 3rd
| vvF#
| vvF#
|Me
| Me
| Muh
| Muh
|-
|-
Line 193: Line 193:
| downmajor 3rd
| downmajor 3rd
| vF#
| vF#
|Mo
| Mo
| Mi
| Mi
|-
|-
Line 202: Line 202:
| major 3rd
| major 3rd
| F#
| F#
|Ma
| Ma
| Maa
| Maa
|-
|-
Line 211: Line 211:
| upmajor 3rd
| upmajor 3rd
| ^F#
| ^F#
|Mu
| Mu
| Mo
| Mo
|-
|-
| 20
| 20
| 452.83
| 452.83
| [[13/10]], [[125/96]]
| [[13/10]], [[125/96]], [[162/125]]
| ^^M3, vv4
| ^^M3, vv4
| dupmajor 3rd, dud 4th
| dupmajor 3rd, dud 4th
| ^^F#, vvG
| ^^F#, vvG
|Mi / Fe
| Mi / Fe
| Maw
| Maw
|-
|-
Line 229: Line 229:
| down 4th
| down 4th
| vG
| vG
|Fo
| Fo
| Fe
| Fe
|-
|-
Line 238: Line 238:
| perfect 4th
| perfect 4th
| G
| G
|Fa
| Fa
| Fa
| Fa
|-
|-
Line 247: Line 247:
| up 4th
| up 4th
| ^G
| ^G
|Fu
| Fu
| Fih
| Fih
|-
|-
Line 256: Line 256:
| downmid 4th
| downmid 4th
| ^^G
| ^^G
|Fi / She
| Fi / She
| Fu
| Fu
|-
|-
Line 265: Line 265:
| upmid 4th, <br>downdim 5th
| upmid 4th, <br>downdim 5th
| vvG#, <br>vAb
| vvG#, <br>vAb
|Pe / Sho
| Pe / Sho
| Fuh
| Fuh
|-
|-
Line 274: Line 274:
| downaug 4th, <br>dim 5th
| downaug 4th, <br>dim 5th
| vG#, <br>Ab
| vG#, <br>Ab
|Po / Sha
| Po / Sha
| Fi
| Fi
|-
|-
Line 283: Line 283:
| aug 4th, <br>updim 5th
| aug 4th, <br>updim 5th
| G#, <br>^Ab
| G#, <br>^Ab
|Pa / Shu
| Pa / Shu
| Se
| Se
|-
|-
Line 292: Line 292:
| upaug 4th, <br>downmid 5th
| upaug 4th, <br>downmid 5th
| ^G#, <br>^^Ab
| ^G#, <br>^^Ab
|Pu / Shi
| Pu / Shi
| Suh
| Suh
|-
|-
Line 301: Line 301:
| upmid 5th
| upmid 5th
| vvA
| vvA
|Pi / Se
| Pi / Se
| Su
| Su
|-
|-
Line 310: Line 310:
| down 5th
| down 5th
| vA
| vA
|So
| So
| Sih
| Sih
|-
|-
Line 319: Line 319:
| perfect 5th
| perfect 5th
| A
| A
|Sa
| Sa
| Sol
| Sol
|-
|-
Line 328: Line 328:
| up 5th
| up 5th
| ^A
| ^A
|Su
| Su
| Si
| Si
|-
|-
| 33
| 33
| 747.17
| 747.17
| [[20/13]], [[192/125]]
| [[20/13]], [[192/125]], [[125/81]]
| ^^5, vvm6
| ^^5, vvm6
| dup 5th, dudminor 6th
| dup 5th, dudminor 6th
| ^^A, vvBb
| ^^A, vvBb
|Si / Fle
| Si / Fle
| Saw
| Saw
|-
|-
Line 346: Line 346:
| downminor 6th
| downminor 6th
| vBb
| vBb
|Flo
| Flo
| Lo
| Lo
|-
|-
Line 355: Line 355:
| minor 6th
| minor 6th
| Bb
| Bb
|Fla
| Fla
| Leh
| Leh
|-
|-
Line 364: Line 364:
| upminor 6th
| upminor 6th
| ^Bb
| ^Bb
|Flu
| Flu
| Le
| Le
|-
|-
Line 373: Line 373:
| downmid 6th
| downmid 6th
| ^^Bb
| ^^Bb
|Fli
| Fli
| Lu
| Lu
|-
|-
Line 382: Line 382:
| upmid 6th
| upmid 6th
| vvB
| vvB
|Le
| Le
| Luh
| Luh
|-
|-
Line 391: Line 391:
| downmajor 6th
| downmajor 6th
| vB
| vB
|Lo
| Lo
| La
| La
|-
|-
Line 400: Line 400:
| major 6th
| major 6th
| B
| B
|La
| La
| Laa
| Laa
|-
|-
Line 409: Line 409:
| upmajor 6th
| upmajor 6th
| ^B
| ^B
|Lu
| Lu
| Li
| Li
|-
|-
| 42
| 42
| 950.94
| 950.94
| [[26/15]], [[125/72]]
| [[26/15]], [[125/72]], [[216/125]]
| ^^M6, vvm7
| ^^M6, vvm7
| dupmajor 6th, dudminor 7th
| dupmajor 6th, dudminor 7th
| ^^B, vvC
| ^^B, vvC
|Li / The
| Li / The
| Law
| Law
|-
|-
Line 427: Line 427:
| downminor 7th
| downminor 7th
| vC
| vC
|Tho
| Tho
| Ta
| Ta
|-
|-
Line 436: Line 436:
| minor 7th
| minor 7th
| C
| C
|Tha
| Tha
| Teh
| Teh
|-
|-
Line 445: Line 445:
| upminor 7th
| upminor 7th
| ^C
| ^C
|Thu
| Thu
| Te
| Te
|-
|-
Line 454: Line 454:
| downmid 7th
| downmid 7th
| ^^C
| ^^C
|Thi
| Thi
| Tu
| Tu
|-
|-
Line 463: Line 463:
| upmid 7th
| upmid 7th
| vvC#
| vvC#
|Te
| Te
| Tuh
| Tuh
|-
|-
Line 472: Line 472:
| downmajor 7th
| downmajor 7th
| vC#
| vC#
|To
| To
| Ti
| Ti
|-
|-
Line 481: Line 481:
| major 7th
| major 7th
| C#
| C#
|Ta
| Ta
| Tih
| Tih
|-
|-
Line 490: Line 490:
| upmajor 7th
| upmajor 7th
| ^C#
| ^C#
|Tu
| Tu
| To
| To
|-
|-
Line 499: Line 499:
| dupmajor 7th, dud 8ve
| dupmajor 7th, dud 8ve
| ^^C#, vvD
| ^^C#, vvD
|Ti / De
| Ti / De
| Taw
| Taw
|-
|-
Line 508: Line 508:
| down 8ve
| down 8ve
| vD
| vD
|Do
| Do
| Da
| Da
|-
|-
Line 517: Line 517:
| perfect 8ve
| perfect 8ve
| D
| D
|Da
| Da
| Do
| Do
|}
|}
<nowiki>*</nowiki> Based on interpreting 53edo as a no-17's [[19-limit]] temperament. Italics represent inconsistent intervals which are mapped by the 19-limit [[patent val]] to their second-best (as opposed to best) approximation in 53edo.  
<nowiki>*</nowiki> based on interpreting 53edo as a no-17's [[19-limit]] temperament. ''Italics'' represent inconsistent intervals which are mapped by the 19-limit [[patent val]] to their second-closest (as opposed to closest) approximation in 53edo.  


=== Interval quality and chord names in color notation ===
Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors:
Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors:


{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! quality
! Quality
! [[Kite's color notation|color]]
! [[Kite's color notation|Color]]
! monzo format
! Monzo Format
! examples
! Examples
|-
|-
| downminor
| downminor
Line 576: Line 577:
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! [[Kite's color notation|color of the 3rd]]
! [[Kite's 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 625: Line 626:
| C upmajor or C up
| C upmajor or C up
|}
|}
For a more complete list, see [[Ups and Downs Notation #Chords and Chord Progressions]].
For a more complete list, see [[Ups and downs notation #Chords and Chord Progressions]].


== Notation ==
== Notation ==
Retrieved from "https://en.xen.wiki/w/53edo"