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41edo: Difference between revisions

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→Intervals: subsectioning
Line 39: Line 39:
| P1
| P1
| D
| D
|Da
| Da
| Do
| Do
|-
|-
Line 48: Line 48:
| ^1
| ^1
| ^D
| ^D
|Du
| Du
| Di
| Di
|-
|-
Line 57: Line 57:
| ^^1, vm2
| ^^1, vm2
| ^^D, vEb
| ^^D, vEb
|Fro
| Fro
| Ro
| Ro
|-
|-
Line 66: Line 66:
| vA1, m2
| vA1, m2
| vD#, Eb
| vD#, Eb
|Fra
| Fra
| Rih
| Rih
|-
|-
Line 75: Line 75:
| A1, ^m2
| A1, ^m2
| D#, ^Eb
| D#, ^Eb
|Fru
| Fru
| Ra
| Ra
|-
|-
Line 84: Line 84:
| ~2
| ~2
| ^D#, vvE
| ^D#, vvE
|Ri
| Ri
| Ru
| Ru
|-
|-
Line 93: Line 93:
| vM2
| vM2
| vE
| vE
|Ro
| Ro
| Reh
| Reh
|-
|-
Line 102: Line 102:
| M2
| M2
| E
| E
|Ra
| Ra
| Re
| Re
|-
|-
Line 111: Line 111:
| ^M2
| ^M2
| ^E
| ^E
|Ru
| Ru
| Ri
| Ri
|-
|-
Line 120: Line 120:
| vm3
| vm3
| vF
| vF
|No
| No
| Ma
| Ma
|-
|-
Line 129: Line 129:
| m3
| m3
| F
| F
|Na
| Na
| Meh
| Meh
|-
|-
Line 138: Line 138:
| ^m3
| ^m3
| ^F
| ^F
|Nu
| Nu
| Me
| Me
|-
|-
Line 147: Line 147:
| ~3
| ~3
| ^^F, vGb
| ^^F, vGb
|Mi
| Mi
| Mu
| Mu
|-
|-
Line 156: Line 156:
| vM3
| vM3
| vF#, Gb
| vF#, Gb
|Mo
| Mo
| Mi
| Mi
|-
|-
Line 165: Line 165:
| M3
| M3
| F#, ^Gb
| F#, ^Gb
|Ma
| Ma
| Maa
| Maa
|-
|-
Line 174: Line 174:
| ^M3
| ^M3
| ^F#, vvG
| ^F#, vvG
|Mu
| Mu
| Mo
| Mo
|-
|-
Line 183: Line 183:
| v4
| v4
| vG
| vG
|Fo
| Fo
| Fe
| Fe
|-
|-
Line 192: Line 192:
| P4
| P4
| G
| G
|Fa
| Fa
| Fa
| Fa
|-
|-
Line 201: Line 201:
| ^4
| ^4
| ^G
| ^G
|Fu
| Fu
| Fih
| Fih
|-
|-
Line 210: Line 210:
| ~4, vd5
| ~4, vd5
| ^^G, vAb
| ^^G, vAb
|Fi/Sho
| Fi/Sho
| Fu
| Fu
|-
|-
Line 219: Line 219:
| vA4, d5
| vA4, d5
| vG#, Ab
| vG#, Ab
|Po/Sha
| Po/Sha
| Fi
| Fi
|-
|-
Line 237: Line 237:
| ~5, ^A4
| ~5, ^A4
| ^G#, vvA
| ^G#, vvA
|Pu/Si
| Pu/Si
| Su
| Su
|-
|-
Line 246: Line 246:
| v5
| v5
| vA
| vA
|So
| So
| Sih
| Sih
|-
|-
Line 255: Line 255:
| P5
| P5
| A
| A
|Sa
| Sa
| Sol
| Sol
|-
|-
Line 264: Line 264:
| ^5
| ^5
| ^A
| ^A
|Su
| Su
| Si
| Si
|-
|-
Line 273: Line 273:
| vm6
| vm6
| ^^A, vBb
| ^^A, vBb
|Flo
| Flo
| Lo
| Lo
|-
|-
Line 282: Line 282:
| m6
| m6
| vA#, Bb
| vA#, Bb
|Fla
| Fla
| Leh
| Leh
|-
|-
Line 291: Line 291:
| ^m6
| ^m6
| A#, ^Bb
| A#, ^Bb
|Flu
| Flu
| Le
| Le
|-
|-
Line 300: Line 300:
| ~6
| ~6
| ^A#, vvB
| ^A#, vvB
|Li
| Li
| Lu
| Lu
|-
|-
Line 309: Line 309:
| vM6
| vM6
| vB
| vB
|Lo
| Lo
| La
| La
|-
|-
Line 318: Line 318:
| M6
| M6
| B
| B
|La
| La
| Laa
| Laa
|-
|-
Line 327: Line 327:
| ^M6
| ^M6
| ^B
| ^B
|Lu
| Lu
| Li
| Li
|-
|-
Line 336: Line 336:
| vm7
| vm7
| vC
| vC
|Tho
| Tho
| Ta
| Ta
|-
|-
Line 345: Line 345:
| m7
| m7
| C
| C
|Tha
| Tha
| Teh
| Teh
|-
|-
Line 354: Line 354:
| ^m7
| ^m7
| ^C
| ^C
|Thu
| Thu
| Te
| Te
|-
|-
Line 363: Line 363:
| ~7
| ~7
| ^^C, vDb
| ^^C, vDb
|Ti
| Ti
| Tu
| Tu
|-
|-
Line 372: Line 372:
| vM7
| vM7
| vC#, Db
| vC#, Db
|To
| To
| Ti
| Ti
|-
|-
Line 381: Line 381:
| M7
| M7
| C#, ^Db
| C#, ^Db
|Ta
| Ta
| Taa
| Taa
|-
|-
Line 390: Line 390:
| ^M7
| ^M7
| C#^, vvD
| C#^, vvD
|Tu
| Tu
| To
| To
|-
|-
Line 399: Line 399:
| v8
| v8
| vD
| vD
|Do
| Do
| Da
| Da
|-
|-
Line 408: Line 408:
| P8
| P8
| D
| D
|Da
| Da
| Do
| Do
|}
|}
<nowiki>*</nowiki> Based on treating 41edo as a 2.3.5.7.11.13.19 subgroup temperament; other approaches are possible.  
<nowiki>*</nowiki> Based on treating 41edo as a 2.3.5.7.11.13.19 subgroup temperament; other approaches are possible.  


=== 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" style="text-align:center"
{| class="wikitable" style="text-align:center"
! quality
! Quality
! [[Kite's color notation|color]]
! [[Color notation|Color]]
! monzo format
! Monzo format
! examples
! Examples
|-
|-
| downminor
| downminor
Line 462: Line 463:
|}
|}


=== Chord names ===
All 41edo chords can be named using ups and downs. An up, down or mid immediately after the chord root affects the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13). Alterations are always enclosed in parentheses, additions never are. Here are the zo, gu, ilo, yo and ru triads:
All 41edo chords can be named using ups and downs. An up, down or mid immediately after the chord root affects the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13). Alterations are always enclosed in parentheses, additions never are. Here are the zo, gu, ilo, yo and ru triads:


{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
! [[Kite's 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 (7-over)
| zo (7-over)
Line 509: Line 509:
|}
|}


0-10-20 = D F Ab = Dd = D dim
Other common triads are
 
* 0-10-20 = D F Ab = Dd = D dim
0-10-21 = D F ^Ab = Dd(^5) = D dim up-five
* 0-10-21 = D F ^Ab = Dd(^5) = D dim up-five
 
* 0-10-22 = D F vvA = Dm(~5) = D minor mid-five
0-10-22 = D F vvA = Dm(~5) = D minor mid-five
* 0-10-23 = D F vA = Dm(v5) = D minor down-five
 
* 0-10-24 = D F A = Dm = D minor
0-10-23 = D F vA = Dm(v5) = D minor down-five
* 0-14-24 = D F# A = D = D or D major
 
* 0-14-25 = D F# ^A = D(^5) = D up-five
0-10-24 = D F A = Dm = D minor
* 0-14-26 = D F# ^^A = D(^^5) = D half-aug
 
* 0-14-27 = D F# vA# = Da(v5) = D aug down-five or perhaps D(v#5) = D downsharp-five
0-14-24 = D F# A = D = D or D major
* 0-14-28 = D F# A# = Da = D aug
 
0-14-25 = D F# ^A = D(^5) = D up-five
 
0-14-26 = D F# ^^A = D(^^5) = D half-aug
 
0-14-27 = D F# vA# = Da(v5) = D aug down-five or perhaps D(v#5) = D downsharp-five
 
0-14-28 = D F# A# = Da = D aug


For a more complete list, see [[41edo Chord Names]] and [[Ups and Downs Notation #Chords and Chord Progressions]].  
For a more complete list, see [[41edo Chord Names]] and [[Ups and Downs Notation #Chords and Chord Progressions]].


== Notations ==
== Notations ==
Retrieved from "https://en.xen.wiki/w/41edo"