Xenharmonic Wiki

72edo-interval names: Difference between revisions

← Older edit
VisualWikitext
mNo edit summary
ArrowHead294 (talk | contribs)
15,213 edits
mNo edit summary
 
(8 intermediate revisions by 4 users not shown)
Line 7: Line 7:
! Kite's Correction
! Kite's Correction
! Margo's Method
! Margo's Method
! [[User:PiotrGrochowski/Extra-Diatonic Intervals|Piotr Grochowski]]
! SagiSpeak
! SagiSpeak
! Ups and a-downs
! Ups and a-downs
! Gareth's Go
! Gareth's Go
!Extra-diatonic 2
! Represented Ratios ([[11-limit]])
! Represented Ratios ([[11-limit]])
|-
|-
Line 19: Line 19:
| Unison
| Unison
| Unison
| Unison
| unison
| P1
| P1
| P1
| P1
| P1
| P1
|
| [[1/1]]
| [[1/1]]
|-
|-
Line 31: Line 31:
| Super Unison
| Super Unison
| Comma
| Comma
| high unison
| pai-P1
| pai-P1
| ^1
| ^1
| WP1
| WP1
|
| [[81/80]]
| [[81/80]]
|-
|-
Line 43: Line 43:
| Super Unison
| Super Unison
| Dieses
| Dieses
| high unison
| tai-P1
| tai-P1
| ^^
| ^^
| nS1
| nS1
|
| [[45/44]]
| [[45/44]]
|-
|-
Line 55: Line 55:
| Super Unison/ <br /> Subminor 2nd
| Super Unison/ <br /> Subminor 2nd
| Dieses
| Dieses
| low augmented unison
| vai-P1
| vai-P1
| ^<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>1, v<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>m2
| ^^^1, vvvm2
| S1
| S1
|
| [[33/32]]
| [[33/32]]
|-
|-
Line 67: Line 67:
| Subminor 2nd
| Subminor 2nd
| Small Minor 2nd
| Small Minor 2nd
| low augmented unison
| tao-m2
| tao-m2
| vvm2
| vvm2
| sm2
| sm2
|
| [[25/24]]
| [[25/24]]
|-
|-
Line 79: Line 79:
| Subminor 2nd/ <br /> Minor 2nd
| Subminor 2nd/ <br /> Minor 2nd
| Middle Minor 2nd
| Middle Minor 2nd
|
| augmented unison
|  
| vm2
| vm2
| Wsm2
| Wsm2
|
| [[21/20]]
| [[21/20]]
|-
|-
Line 91: Line 91:
| Minor 2nd
| Minor 2nd
| Middle Minor 2nd/ <br /> Large Minor 2nd
| Middle Minor 2nd/ <br /> Large Minor 2nd
| minor second
| m2
| m2
| m2
| m2
| nm2
| nm2
|
| [[35/33]]
| [[35/33]]
|-
|-
Line 103: Line 103:
| Minor 2nd
| Minor 2nd
| Large Minor 2nd
| Large Minor 2nd
| minor second
| pai-m2
| pai-m2
| ^m2
| ^m2
| m2
| m2
|
| [[15/14]]
| [[15/14]]
|-
|-
Line 115: Line 115:
| Minor 2nd/ <br /> Neutral 2nd
| Minor 2nd/ <br /> Neutral 2nd
| Small Neutral 2nd
| Small Neutral 2nd
|
| low neutral second
|  
| v~2
| v~2
| nN2
| nN2
|
| [[27/25]]
| [[27/25]]
|-
|-
Line 127: Line 127:
| Neutral 2nd
| Neutral 2nd
| Middle Neutral 2nd
| Middle Neutral 2nd
|
| low neutral second
|  
| ~2
| ~2
| N2
| N2
|
| [[12/11]]
| [[12/11]]
|-
|-
Line 139: Line 139:
| Neutral 2nd/ <br /> Major 2nd
| Neutral 2nd/ <br /> Major 2nd
| Large Neutral 2nd
| Large Neutral 2nd
|
| high neutral second
|  
| ^~2
| ^~2
| WN2
| WN2
|
| [[11/10]]
| [[11/10]]
|-
|-
Line 151: Line 151:
| Major 2nd
| Major 2nd
| Small Major 2nd
| Small Major 2nd
| major second
| pao-M2
| pao-M2
| vM2
| vM2
| M2
| M2
|
| [[10/9]]
| [[10/9]]
|-
|-
Line 163: Line 163:
| Major 2nd
| Major 2nd
| Small Major 2nd/ <br /> Middle Major 2nd
| Small Major 2nd/ <br /> Middle Major 2nd
| major second
| M2
| M2
| M2
| M2
| WM2
| WM2
|
| [[9/8]]
| [[9/8]]
|-
|-
Line 175: Line 175:
| Major 2nd/ <br /> Supermajor 2nd
| Major 2nd/ <br /> Supermajor 2nd
| Middle Major 2nd
| Middle Major 2nd
|
| high major second
|  
| ^M2
| ^M2
| nSM2
| nSM2
|
| [[25/22]]
| [[25/22]]
|-
|-
Line 187: Line 187:
| Supermajor 2nd
| Supermajor 2nd
| Large Major 2nd
| Large Major 2nd
| high major second
| tai-M2
| tai-M2
| ^^M2
| ^^M2
| SM2
| SM2
|
| [[8/7]]
| [[8/7]]
|-
|-
Line 199: Line 199:
| Supermajor 2nd/ <br /> Subminor 3rd
| Supermajor 2nd/ <br /> Subminor 3rd
| Interseptimal (Maj2-min3)
| Interseptimal (Maj2-min3)
|
| second–third
| ^<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>M2, v<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>m3
|  
| ^^^M2, vvvm3
| Serd
| Serd
|
| [[81/70]]
| [[81/70]]
|-
|-
Line 211: Line 211:
| Subminor 3rd
| Subminor 3rd
| Small Minor 3rd
| Small Minor 3rd
| low minor third
| tao-m3
| tao-m3
| vvm3
| vvm3
| sm3
| sm3
|
| [[7/6]]
| [[7/6]]
|-
|-
Line 223: Line 223:
| Subminor 3rd/ <br /> Minor 3rd
| Subminor 3rd/ <br /> Minor 3rd
| Middle Minor 3rd
| Middle Minor 3rd
| low minor third
|  
|  
| vm3
| vm3
| Wsm3
| Wsm3
|
| [[33/28]]
| [[33/28]]
|-
|-
Line 235: Line 235:
| Minor 3rd
| Minor 3rd
| Middle Minor 3rd/ <br /> Large minor 3rd
| Middle Minor 3rd/ <br /> Large minor 3rd
| minor third
| m3
| m3
| m3
| m3
| nm3
| nm3
|
| [[25/21]]
| [[25/21]]
|-
|-
Line 247: Line 247:
| Minor 3rd
| Minor 3rd
| Large Minor 3rd
| Large Minor 3rd
| minor third
| pai-m3
| pai-m3
| ^m3
| ^m3
| m3
| m3
|
| [[6/5]]
| [[6/5]]
|-
|-
Line 259: Line 259:
| Minor 3rd/ <br /> Neutral 3rd
| Minor 3rd/ <br /> Neutral 3rd
| Small Neutral 3rd
| Small Neutral 3rd
| low neutral third
|  
|  
| v~3
| v~3
| nN3
| nN3
|
| [[40/33]]
| [[40/33]]
|-
|-
Line 271: Line 271:
| Neutral 3rd
| Neutral 3rd
| Middle Neutral 3rd
| Middle Neutral 3rd
| high neutral third
|  
|  
| ~3
| ~3
| N3
| N3
|
| [[11/9]]
| [[11/9]]
|-
|-
Line 283: Line 283:
| Neutral 3rd/ <br /> Major 3rd
| Neutral 3rd/ <br /> Major 3rd
| Large Neutral 3rd
| Large Neutral 3rd
| high neutral third
|  
|  
| ^~3
| ^~3
| WN3
| WN3
|
| [[99/80]]
| [[99/80]]
|-
|-
Line 295: Line 295:
| Major 3rd
| Major 3rd
| Small Major 3rd
| Small Major 3rd
| major third
| pao-M3
| pao-M3
| vM3
| vM3
| M3
| M3
|
| [[5/4]]
| [[5/4]]
|-
|-
Line 307: Line 307:
| Major 3rd
| Major 3rd
| Small Major 3rd/ <br /> Middle Major 3rd
| Small Major 3rd/ <br /> Middle Major 3rd
| major third
| M3
| M3
| M3
| M3
| WM3
| WM3
|
| [[44/35]]
| [[44/35]]
|-
|-
Line 319: Line 319:
| Major 3rd/ <br /> Supermajor 3rd
| Major 3rd/ <br /> Supermajor 3rd
| Middle Major third
| Middle Major third
|
| high major third
|  
| ^M3
| ^M3
| nSM3
| nSM3
|
| [[14/11]]
| [[14/11]]
|-
|-
Line 331: Line 331:
| Supermajor 3rd
| Supermajor 3rd
| Large Major third
| Large Major third
| third–fourth
| tai-M3
| tai-M3
| ^^M3
| ^^M3
| SM3
| SM3
|
| [[9/7]]
| [[9/7]]
|-
|-
Line 343: Line 343:
| Supermajor 3rd/ <br /> Sub 4th
| Supermajor 3rd/ <br /> Sub 4th
| Interseptimal (Maj3-4)
| Interseptimal (Maj3-4)
|
| third–fourth
| ^<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>M3, v<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>4
|  
| ^^^M3, vvv4
| s4
| s4
|
| [[35/27]]
| [[35/27]]
|-
|-
Line 355: Line 355:
| Sub 4th
| Sub 4th
| Interseptimal (Maj3-4)
| Interseptimal (Maj3-4)
| low fourth
| tao-P4
| tao-P4
| vv4
| vv4
| Ws4
| Ws4
|
| [[21/16]]
| [[21/16]]
|-
|-
Line 367: Line 367:
| Sub 4th/ <br /> Perfect 4th
| Sub 4th/ <br /> Perfect 4th
| Small Perfect 4th
| Small Perfect 4th
|
| low fourth
|  
| v4
| v4
| nP4
| nP4
|
| [[33/25]]
| [[33/25]]
|-
|-
Line 379: Line 379:
| Perfect 4th
| Perfect 4th
| Middle Perfect 4th
| Middle Perfect 4th
| fourth
| P4
| P4
| P4
| P4
| P4
| P4
|
| [[4/3]]
| [[4/3]]
|-
|-
Line 391: Line 391:
| Perfect 4th/ <br /> Super 4th
| Perfect 4th/ <br /> Super 4th
| Large Perfect 4th
| Large Perfect 4th
| high fourth
| pai-P4
| pai-P4
| ^4
| ^4
| WP4
| WP4
|
| [[27/20]]
| [[27/20]]
|-
|-
Line 403: Line 403:
| Super 4th
| Super 4th
| Super 4th
| Super 4th
|
| high fourth
|  
| ^^4
| ^^4
| nS4
| nS4
|
| [[15/11]]
| [[15/11]]
|-
|-
Line 415: Line 415:
| Super 4th
| Super 4th
| Super 4th
| Super 4th
| low augmented fourth
| vai-P4
| vai-P4
| ^<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>4
| ^^^4
| S4
| S4
|
| [[11/8]]
| [[11/8]]
|-
|-
Line 427: Line 427:
| Super 4th/ <br /> Augmented 4th
| Super 4th/ <br /> Augmented 4th
| Small Tritone
| Small Tritone
|
| low augmented fourth
|  
| vvA4
| vvA4
| WS4
| WS4
|
| [[25/18]]
| [[25/18]]
|-
|-
Line 439: Line 439:
| Augmented 4th
| Augmented 4th
| Middle Tritone
| Middle Tritone
|
| augmented fourth
|  
| vA4, vd5
| vA4, vd5
| A4
| A4
|
| [[7/5]]
| [[7/5]]
|-
|-
Line 451: Line 451:
| Augmented 4th/ <br /> Diminished 5th
| Augmented 4th/ <br /> Diminished 5th
| Middle Tritone
| Middle Tritone
|
| augmented fourth
|  
| A4, d5
| A4, d5
| HO
| HO
|
| [[99/70]]
| [[99/70]]
|-
|-
Line 463: Line 463:
| Diminished 5th
| Diminished 5th
| Middle Tritone
| Middle Tritone
|
| diminished fifth
|  
| ^A4, ^d5
| ^A4, ^d5
| d5
| d5
|
| [[10/7]]
| [[10/7]]
|-
|-
Line 475: Line 475:
| Diminished 5th/ <br /> Sub 5th
| Diminished 5th/ <br /> Sub 5th
| Large Tritone
| Large Tritone
|
| high diminished fifth
|  
| ^^d5
| ^^d5
| ns5
| ns5
|
| [[36/25]]
| [[36/25]]
|-
|-
Line 487: Line 487:
| Sub 5th
| Sub 5th
| Sub 5th
| Sub 5th
| high diminished fifth
| vao-P5
| vao-P5
| v<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>5
| vvv5
| s5
| s5
|
| [[16/11]]
| [[16/11]]
|-
|-
Line 499: Line 499:
| Sub 5th
| Sub 5th
| Sub 5th
| Sub 5th
|
| low fifth
|  
| vv5
| vv5
| Ws5
| Ws5
|
| [[22/15]]
| [[22/15]]
|-
|-
Line 511: Line 511:
| Sub 5th/ <br /> Perfect 5th
| Sub 5th/ <br /> Perfect 5th
| Small Perfect 5th
| Small Perfect 5th
| low fifth
| pao-P5
| pao-P5
| v5
| v5
| n5
| n5
|
| [[40/27]]
| [[40/27]]
|-
|-
Line 523: Line 523:
| Perfect 5th
| Perfect 5th
| Middle Perfect 5th
| Middle Perfect 5th
| fifth
| P5
| P5
| P5
| P5
| P5
| P5
|
| [[3/2]]
| [[3/2]]
|-
|-
Line 535: Line 535:
| Perfect 5th/ <br /> Super 5th
| Perfect 5th/ <br /> Super 5th
| Large Perfect 5th
| Large Perfect 5th
|
| high fifth
|  
| ^5
| ^5
| W5
| W5
|
| [[50/33]]
| [[50/33]]
|-
|-
Line 547: Line 547:
| Super 5th
| Super 5th
| Interseptimal (5-min6)
| Interseptimal (5-min6)
|
| high fifth
|  
| ^^5
| ^^5
| nS5
| nS5
|
| [[32/21]]
| [[32/21]]
|-
|-
Line 559: Line 559:
| Super 5th/ <br /> Subminor 6th
| Super 5th/ <br /> Subminor 6th
| Interseptimal (5-min6)
| Interseptimal (5-min6)
|
| fifth–sixth
| ^<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>5, v<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>m6
|  
| ^^^5, vvvm6
| S5
| S5
|
| [[54/35]]
| [[54/35]]
|-
|-
Line 571: Line 571:
| Subminor 6th
| Subminor 6th
| Small Minor 6th
| Small Minor 6th
| fifth–sixth
| tao-m6
| tao-m6
| vvm6
| vvm6
| sm6
| sm6
|
| [[14/9]]
| [[14/9]]
|-
|-
Line 583: Line 583:
| Subminor 6th/ <br /> Minor 6th
| Subminor 6th/ <br /> Minor 6th
| Middle Minor 6th
| Middle Minor 6th
|
| low minor sixth
|  
| vm6
| vm6
| Wsm6
| Wsm6
|
| [[11/7]]
| [[11/7]]
|-
|-
Line 595: Line 595:
| Minor 6th
| Minor 6th
| Middle Minor 6th/ <br /> Large Minor 6th
| Middle Minor 6th/ <br /> Large Minor 6th
| minor sixth
| m6
| m6
| m6
| m6
| nm6
| nm6
|
| [[35/22]]
| [[35/22]]
|-
|-
Line 607: Line 607:
| Minor 6th/ <br /> Supraminor 6th
| Minor 6th/ <br /> Supraminor 6th
| Large Minor 6th
| Large Minor 6th
| minor sixth
| pai-m6
| pai-m6
| ^m6
| ^m6
| m6
| m6
|
| [[8/5]]
| [[8/5]]
|-
|-
Line 619: Line 619:
| Supraminor 6th/ <br /> Neutral 6th
| Supraminor 6th/ <br /> Neutral 6th
| Small Neutral 6th
| Small Neutral 6th
|
| low neutral sixth
|  
| v~6
| v~6
| nN6
| nN6
|
| [[81/50]]
| [[81/50]]
|-
|-
Line 631: Line 631:
| Neutral 6th
| Neutral 6th
| Middle Neutral 6th
| Middle Neutral 6th
|
| low neutral sixth
|  
| ~6
| ~6
| N6
| N6
|
| [[18/11]]
| [[18/11]]
|-
|-
Line 643: Line 643:
| Neutral 6th/ <br /> Submajor 6th
| Neutral 6th/ <br /> Submajor 6th
| Large Neutral 6th
| Large Neutral 6th
|
| high neutral sixth
|  
| ^~6
| ^~6
| WN6
| WN6
|
| [[33/20]]
| [[33/20]]
|-
|-
Line 655: Line 655:
| Submajor 6th/ <br /> Major 6th
| Submajor 6th/ <br /> Major 6th
| Small Major 6th
| Small Major 6th
| major sixth
| pao-M6
| pao-M6
| vM6
| vM6
| M6
| M6
|
| [[5/3]]
| [[5/3]]
|-
|-
Line 667: Line 667:
| Major 6th
| Major 6th
| Small Major 6th/ <br /> Middle Major 6th
| Small Major 6th/ <br /> Middle Major 6th
| major sixth
| M6
| M6
| M6
| M6
| WM6
| WM6
|
| [[27/16]]
| [[27/16]]
|-
|-
Line 679: Line 679:
| Major 6th/ <br /> Supermajor 6th
| Major 6th/ <br /> Supermajor 6th
| Middle Major 6th
| Middle Major 6th
|
| high major sixth
|  
| ^M6
| ^M6
| sSM6
| sSM6
|
| [[56/33]]
| [[56/33]]
|-
|-
Line 691: Line 691:
| Supermajor 6th
| Supermajor 6th
| Large Major 6th
| Large Major 6th
| high major sixth
| tai-M6
| tai-M6
| ^^M6
| ^^M6
| SM6
| SM6
|
| [[12/7]]
| [[12/7]]
|-
|-
Line 703: Line 703:
| Supermajor 6th/ <br /> Subminor 7th
| Supermajor 6th/ <br /> Subminor 7th
| Interseptimal (Maj6-min7)
| Interseptimal (Maj6-min7)
|
| sixth–seventh
| ^<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>M6, v<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>m7
|  
| ^^^M6, vvvm7
| Sinth
| Sinth
|
| [[121/70]]
| [[121/70]]
|-
|-
Line 715: Line 715:
| Subminor 7th
| Subminor 7th
| Small Minor 7th
| Small Minor 7th
| low minor seventh
| tao-m7
| tao-m7
| vvm7
| vvm7
| sm7
| sm7
|
| [[7/4]]
| [[7/4]]
|-
|-
Line 727: Line 727:
| Subminor 7th/ <br /> Minor 7th
| Subminor 7th/ <br /> Minor 7th
| Middle Minor 7th
| Middle Minor 7th
|
| low minor seventh
|  
| vm7
| vm7
| Wsm7
| Wsm7
|
| [[44/25]]
| [[44/25]]
|-
|-
Line 739: Line 739:
| Minor 7th
| Minor 7th
| Middle Minor 7th/ <br /> Large Minor 7th
| Middle Minor 7th/ <br /> Large Minor 7th
| minor seventh
| m7
| m7
| m7
| m7
| nm7
| nm7
|
| [[16/9]]
| [[16/9]]
|-
|-
Line 751: Line 751:
| Minor 7th
| Minor 7th
| Large Minor 7th
| Large Minor 7th
| minor seventh
| pai-m7
| pai-m7
| ^m7
| ^m7
| m7
| m7
|
| [[9/5]]
| [[9/5]]
|-
|-
Line 763: Line 763:
| Minor 7th/ <br /> Neutral 7th
| Minor 7th/ <br /> Neutral 7th
| Small Neutral 7th
| Small Neutral 7th
|
| low neutral seventh
|  
| v~7
| v~7
| nN7
| nN7
|
| [[20/11]]
| [[20/11]]
|-
|-
Line 775: Line 775:
| Neutral 7th
| Neutral 7th
| Middle Neutral 7th
| Middle Neutral 7th
|
| high neutral seventh
|  
| ~7
| ~7
| N7
| N7
|
| [[11/6]]
| [[11/6]]
|-
|-
Line 787: Line 787:
| Neutral 7th/ <br /> Major 7th
| Neutral 7th/ <br /> Major 7th
| Large Neutral 7th
| Large Neutral 7th
|
| high neutral seventh
|  
| ^~7
| ^~7
| WN7
| WN7
|
| [[50/27]]
| [[50/27]]
|-
|-
Line 799: Line 799:
| Major 7th
| Major 7th
| Small Major 7th
| Small Major 7th
| major seventh
| pao-M7
| pao-M7
| vM7
| vM7
| M7
| M7
|
| [[15/8]]
| [[15/8]]
|-
|-
Line 811: Line 811:
| Major 7th
| Major 7th
| Small Major 7th/ <br /> Middle Major 7th
| Small Major 7th/ <br /> Middle Major 7th
| major seventh
| M7
| M7
| M7
| M7
| WM7
| WM7
|
| [[66/35]]
| [[66/35]]
|-
|-
Line 823: Line 823:
| Major 7th/ <br /> Supermajor 7th
| Major 7th/ <br /> Supermajor 7th
| Middle Major 7th
| Middle Major 7th
|
| diminished octave
|  
| ^M7
| ^M7
| nSM7
| nSM7
|
| [[21/11]]
| [[21/11]]
|-
|-
Line 835: Line 835:
| Supermajor 7th
| Supermajor 7th
| Large Major 7th
| Large Major 7th
| high diminished octave
| tai-M7
| tai-M7
| ^^M7
| ^^M7
| SM7
| SM7
|
| [[27/14]]
| [[27/14]]
|-
|-
Line 847: Line 847:
| Supermajor 7th/ <br /> Sub Octave
| Supermajor 7th/ <br /> Sub Octave
| Octave less dieses
| Octave less dieses
| high diminished octave
| vao-P8
| vao-P8
| ^<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>M7, v<sup><span style="font-size: 90%; vertical-align: super;">3</span></sup>8
| ^^^M7, vvv8
| s8
| s8
|
| [[35/18]]
| [[35/18]]
|-
|-
Line 859: Line 859:
| Sub Octave
| Sub Octave
| Octave less dieses
| Octave less dieses
| low octave
| tao-P8
| tao-P8
| vv8
| vv8
| Ws8
| Ws8
|
| [[49/25]]
| [[49/25]]
|-
|-
Line 871: Line 871:
| Sub Octave
| Sub Octave
| Octave less comma
| Octave less comma
| low octave
| pao-P8
| pao-P8
| v8
| v8
| n8
| n8
|
| [[99/50]]
| [[99/50]]
|-
|-
Line 883: Line 883:
| Octave
| Octave
| Octave
| Octave
| octave
| P9
| P9
| P8
| P8
| P8
| P8
|
| [[2/1]]
| [[2/1]]
|}
<includeonly>
{{Navbar table|cols=12|72edo-interval names}}
</includeonly>
|}<noinclude>
 
== See also ==
* [[15edo-interval names]]
* [[43edo-interval names]]
 
[[Category:72edo]]
[[Category:Tables]]
[[Category:Interval naming]]
</noinclude>
Retrieved from "https://en.xen.wiki/w/72edo-interval_names"