72edo-interval names: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
|-
|-
| |degrees
! Degrees
| |cents value
! Cents
| |approximate ratios (11-limit)
! Igs' Input
| colspan="2" style="text-align:center;" |[[Ups and Downs Notation|ups and downs]] [[Ups and Downs Notation|notation]]
! Keenan Category
|Igs' Input
! Kite's Correction
|Keenan Category
! Margo's Method
|Kite's Colours
! [[User:PiotrGrochowski/Extra-Diatonic Intervals|Piotr Grochowski]]
|Margo's Method
! SagiSpeak
! Ups and a-downs
! Gareth's Go
! Represented Ratios ([[11-limit]])
|-
|-
| |0
| 0
| |0
| 0
| |1/1
| Unison
| style="text-align:center;" |P1
| P1
| style="text-align:center;" |perfect unison
| Unison
|Unison
| Unison
|P1
| unison
|
| P1
|Unison
| P1
| P1
| [[1/1]]
|-
|-
| |1
| 1
| |16.667
| 16.67
| |81/80
| Super Unison
| style="text-align:center;" |^1
| WP1
| style="text-align:center;" |up unison
| Super Unison
|Super Unison
| Comma
|WP1
| high unison
|
| pai-P1
|Comma
| ^1
| WP1
| [[81/80]]
|-
|-
| |2
| 2
| |33.333
| 33.33
| |45/44
| Super Unison
| style="text-align:center;" |^^
| nS1
| style="text-align:center;" |double-up unison
| Super Unison
|Super Unison
| Dieses
|nS1
| high unison
|
| tai-P1
|Dieses
| ^^
| nS1
| [[45/44]]
|-
|-
| |3
| 3
| |50
| 50
| |33/32
| Super Unison/ <br /> Subminor 2nd
| style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>1, v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>m2
| S1
| style="text-align:center;" |triple-up unison,
| Super Unison/ <br /> Subminor 2nd
triple-down minor 2nd
| Dieses
|Super Unison/
| low augmented unison
Subminor 2nd
| vai-P1
|S1
| ^^^1, vvvm2
|
| S1
|Dieses
| [[33/32]]
|-
|-
| |4
| 4
| |66.667
| 66.67
| |25/24
| Subminor 2nd
| style="text-align:center;" |vvm2
| sm2
| style="text-align:center;" |double-downminor 2nd
| Subminor 2nd
|Subminor 2nd
| Small Minor 2nd
|sm2
| low augmented unison
|
| tao-m2
|Small Minor 2nd
| vvm2
| sm2
| [[25/24]]
|-
|-
| |5
| 5
| |83.333
| 83.33
| |21/20
| Subminor 2nd/ <br /> Minor 2nd
| style="text-align:center;" |vm2
| Wsm2
| style="text-align:center;" |downminor 2nd
| Subminor 2nd/ <br /> Minor 2nd
|Subminor 2nd/
| Middle Minor 2nd
Minor 2nd
| augmented unison
|Wsm2
|
|
| vm2
|Middle Minor 2nd
| Wsm2
| [[21/20]]
|-
|-
| |6
| 6
| |100
| 100
| |35/33
| Minor 2nd
| style="text-align:center;" |m2
| nm2
| style="text-align:center;" |minor 2nd
| Minor 2nd
|Minor 2nd
| Middle Minor 2nd/ <br /> Large Minor 2nd
|nm2
| minor second
|
| m2
|Middle Minor 2nd/
| m2
Large Minor 2nd
| nm2
| [[35/33]]
|-
|-
| |7
| 7
| |116.667
| 116.67
| |15/14
| Minor 2nd/ <br /> Supraminor 2nd
| style="text-align:center;" |^m2
| m2
| style="text-align:center;" |upminor 2nd
| Minor 2nd
|Minor 2nd/
| Large Minor 2nd
Supraminor 2nd
| minor second
|m2
| pai-m2
|
| ^m2
|Large Minor 2nd
| m2
| [[15/14]]
|-
|-
| |8
| 8
| |133.333
| 133.33
| |27/25
| Supraminor 2nd/ <br /> Neutral 2nd
| style="text-align:center;" |v~2
| nN2
| style="text-align:center;" |downmid 2nd
| Minor 2nd/ <br /> Neutral 2nd
|Supraminor 2nd/
| Small Neutral 2nd
Neutral 2nd
| low neutral second
|nN2
|
|
| v~2
|Small Neutral 2nd
| nN2
| [[27/25]]
|-
|-
| |9
| 9
| |150
| 150
| |12/11
| Neutral 2nd
| style="text-align:center;" |~2
| N2
| style="text-align:center;" |mid 2nd
| Neutral 2nd
|Neutral 2nd
| Middle Neutral 2nd
|N2
| low neutral second
|
|
|Middle Neutral 2nd
| ~2
| N2
| [[12/11]]
|-
|-
| |10
| 10
| |166.667
| 166.67
| |11/10
| Neutral 2nd/ <br /> Submajor 2nd
| style="text-align:center;" |^~2
| WN2
| style="text-align:center;" |upmid 2nd
| Neutral 2nd/ <br /> Major 2nd
|Neutral 2nd/
| Large Neutral 2nd
Submajor 2nd
| high neutral second
|WN2
|
|
| ^~2
|Large Neutral 2nd
| WN2
| [[11/10]]
|-
|-
| |11
| 11
| |183.333
| 183.33
| |10/9
| Submajor 2nd/ <br /> Major 2nd
| style="text-align:center;" |vM2
| M2
| style="text-align:center;" |downmajor 2nd
| Major 2nd
|Submajor 2nd/
| Small Major 2nd
Major 2nd
| major second
|M2
| pao-M2
|
| vM2
|Small Major 2nd
| M2
| [[10/9]]
|-
|-
| |12
| 12
| |200
| 200
| |9/8
| Major 2nd
| style="text-align:center;" |M2
| WM2
| style="text-align:center;" |major 2nd
| Major 2nd
|Major 2nd
| Small Major 2nd/ <br /> Middle Major 2nd
|WM2
| major second
|
| M2
|Small Major 2nd/
| M2
Middle Major 2nd
| WM2
| [[9/8]]
|-
|-
| |13
| 13
| |216.667
| 216.67
| |25/22
| Major 2nd/ <br /> Supermajor 2nd
| style="text-align:center;" |^M2
| nSM2
| style="text-align:center;" |upmajor 2nd
| Major 2nd/ <br /> Supermajor 2nd
|Major 2nd/
| Middle Major 2nd
Supermajor 2nd
| high major second
|nSM2
|
|
| ^M2
|Middle Major 2nd
| nSM2
| [[25/22]]
|-
|-
| |14
| 14
| |233.333
| 233.33
| |8/7
| Supermajor 2nd
| style="text-align:center;" |^^M2
| SM2
| style="text-align:center;" |double-upmajor 2nd
| Supermajor 2nd
|Supermajor 2nd
| Large Major 2nd
|SM2
| high major second
|
| tai-M2
|Large Major 2nd
| ^^M2
| SM2
| [[8/7]]
|-
|-
| |15
| 15
| |250
| 250
| |81/70
| Supermajor 2nd/ <br /> Subminor 3rd
| style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>M2, v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>m3
| WSm2/nsm3
| style="text-align:center;" |triple-up major 2nd,
| Supermajor 2nd/ <br /> Subminor 3rd
triple-down minor 3rd
| Interseptimal (Maj2-min3)
|Supermajor 2nd/
| second–third
Subminor 3rd
|  
|WSm2/nsm3
| ^^^M2, vvvm3
|
| Serd
|Interseptimal (Maj2-min3)
| [[81/70]]
|-
|-
| |16
| 16
| |266.667
| 266.67
| |7/6
| Subminor 3rd
| style="text-align:center;" |vvm3
| sm3
| style="text-align:center;" |double-downminor 3rd
| Subminor 3rd
|Subminor 3rd
| Small Minor 3rd
|sm3
| low minor third
|
| tao-m3
|Small Minor 3rd
| vvm3
| sm3
| [[7/6]]
|-
|-
| |17
| 17
| |283.333
| 283.33
| |33/28
| Subminor 3rd/ <br /> Minor 3rd
| style="text-align:center;" |vm3
| Wsm3
| style="text-align:center;" |downminor 3rd
| Subminor 3rd/ <br /> Minor 3rd
|Subminor 3rd/
| Middle Minor 3rd
 
| low minor third
Minor third
|
|Wsm3
| vm3
|
| Wsm3
|Middle Minor 3rd
| [[33/28]]
|-
|-
| |18
| 18
| |300
| 300
| |25/21
| Minor 3rd
| style="text-align:center;" |m3
| nm3
| style="text-align:center;" |minor 3rd
| Minor 3rd
|Minor 3rd
| Middle Minor 3rd/ <br /> Large minor 3rd
|nm3
| minor third
|
| m3
|Middle Minor 3rd/
| m3
Large minor 3rd
| nm3
| [[25/21]]
|-
|-
| |19
| 19
| |316.667
| 316.67
| |6/5
| Minor 3rd/ <br /> Supraminor 3rd
| style="text-align:center;" |^m3
| m3
| style="text-align:center;" |upminor 3rd
| Minor 3rd
|Minor 3rd/
| Large Minor 3rd
Supraminor 3rd
| minor third
|m3
| pai-m3
|
| ^m3
|Large Minor 3rd
| m3
| [[6/5]]
|-
|-
| |20
| 20
| |333.333
| 333.33
| |40/33
| Supraminor 3rd/ <br /> Neutral 3rd
| style="text-align:center;" |v~3
| nN3
| style="text-align:center;" |downmid 3rd
| Minor 3rd/ <br /> Neutral 3rd
|Supraminor 3rd/
| Small Neutral 3rd
 
| low neutral third
Neutral 3rd
|
|nN3
| v~3
|
| nN3
|Small Neutral 3rd
| [[40/33]]
|-
|-
| |21
| 21
| |350
| 350
| |11/9
| Neutral 3rd
| style="text-align:center;" |~3
| N3
| style="text-align:center;" |mid 3rd
| Neutral 3rd
|Neutral 3rd
| Middle Neutral 3rd
|N3
| high neutral third
|
|
|Middle Neutral 3rd
| ~3
| N3
| [[11/9]]
|-
|-
| |22
| 22
| |366.667
| 366.67
| |99/80
| Neutral 3rd/ <br /> Submajor 3rd
| style="text-align:center;" |^~3
| WN3
| style="text-align:center;" |upmid 3rd
| Neutral 3rd/ <br /> Major 3rd
|Neutral 3rd/
| Large Neutral 3rd
 
| high neutral third
Submajor 3rd
|
|WN3
| ^~3
|
| WN3
|Large Neutral 3rd
| [[99/80]]
|-
|-
| |23
| 23
| |383.333
| 383.33
| |5/4
| Submajor 3rd/ <br /> Major 3rd
| style="text-align:center;" |vM3
| M3
| style="text-align:center;" |downmajor 3rd
| Major 3rd
|Submajor 3rd/
| Small Major 3rd
 
| major third
Major 3rd
| pao-M3
|M3
| vM3
|
| M3
|Small Major 3rd
| [[5/4]]
|-
|-
| |24
| 24
| |400
| 400
| |44/35
| Major 3rd
| style="text-align:center;" |M3
| WM3
| style="text-align:center;" |major 3rd
| Major 3rd
|Major 3rd
| Small Major 3rd/ <br /> Middle Major 3rd
|WM3
| major third
|
| M3
|Small Major 3rd/
| M3
Middle Major 3rd
| WM3
| [[44/35]]
|-
|-
| |25
| 25
| |416.667
| 416.67
| |14/11
| Major 3rd/ <br /> Supermajor 3rd
| style="text-align:center;" |^M3
| nSM3
| style="text-align:center;" |upmajor 3rd
| Major 3rd/ <br /> Supermajor 3rd
|Major 3rd/
| Middle Major third
 
| high major third
Supermajor 3rd
|
|nSM3
| ^M3
|
| nSM3
|Middle Major third
| [[14/11]]
|-
|-
| |26
| 26
| |433.333
| 433.33
| |9/7
| Supermajor 3rd
| style="text-align:center;" |^^M3
| SM3
| style="text-align:center;" |double-upmajor 3rd
| Supermajor 3rd
|Supermajor 3rd
| Large Major third
|SM3
| third–fourth
|
| tai-M3
|Large Major third
| ^^M3
| SM3
| [[9/7]]
|-
|-
| |27
| 27
| |450
| 450
| |35/27
| Supermajor 3rd/ <br /> Sub 4th
| style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>M3, v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>4
| s4
| style="text-align:center;" |triple-up major 3rd,
| Supermajor 3rd/ <br /> Sub 4th
triple-down 4th
| Interseptimal (Maj3-4)
|Supermajor 3rd/
| third–fourth
 
|
Sub 4th
| ^^^M3, vvv4
|s4
| s4
|
| [[35/27]]
|Interseptimal (Maj3-4)
|-
|-
| |28
| 28
| |466.667
| 466.67
| |21/16
| Sub 4th
| style="text-align:center;" |vv4
| Ws4
| style="text-align:center;" |double-down 4th
| Sub 4th
|Sub 4th
| Interseptimal (Maj3-4)
|Ws4
| low fourth
|
| tao-P4
|Interseptimal (Maj3-4)
| vv4
| Ws4
| [[21/16]]
|-
|-
| |29
| 29
| |483.333
| 483.33
| |33/25
| Sub 4th/ <br /> Perfect 4th
| style="text-align:center;" |v4
| nP4
| style="text-align:center;" |down 4th
| Sub 4th/ <br /> Perfect 4th
|Sub 4th/
| Small Perfect 4th
 
| low fourth
Perfect 4th
|
|nP4
| v4
|
| nP4
|Small Perfect 4th
| [[33/25]]
|-
|-
| |30
| 30
| |500
| 500
| |4/3
| Perfect 4th
| style="text-align:center;" |P4
| P4
| style="text-align:center;" |perfect 4th
| Perfect 4th
|Perfect 4th
| Middle Perfect 4th
|P4
| fourth
|
| P4
|Middle Perfect 4th
| P4
| P4
| [[4/3]]
|-
|-
| |31
| 31
| |516.667
| 516.67
| |27/20
| Perfect 4th/ <br /> Super 4th
| style="text-align:center;" |^4
| WP4
| style="text-align:center;" |up 4th
| Perfect 4th/ <br /> Super 4th
|Perfect 4th/
| Large Perfect 4th
 
| high fourth
Super 4th
| pai-P4
|WP4
| ^4
|
| WP4
|Large Perfect 4th
| [[27/20]]
|-
|-
| |32
| 32
| |533.333
| 533.33
| |15/11
| Super 4th/ <br /> Narrow Tritone
| style="text-align:center;" |^^4
| nS4
| style="text-align:center;" |double-up 4th
| Super 4th
|Super 4th/
| Super 4th
 
| high fourth
Narrow Tritone
|
|nS4
| ^^4
|
| nS4
|Super 4th
| [[15/11]]
|-
|-
| |33
| 33
| |550
| 550
| |11/8
| Super 4th/ <br /> Narrow Tritone
| style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>4
| S4
| style="text-align:center;" |triple-up 4th
| Super 4th
|Super 4th/
| Super 4th
 
| low augmented fourth
Narrow Tritone
| vai-P4
|S4
| ^^^4
|
| S4
|Super 4th
| [[11/8]]
|-
|-
| |34
| 34
| |566.667
| 566.67
| |25/18
| Narrow Tritone
| style="text-align:center;" |vvA4
| WS4
| style="text-align:center;" |double-down aug 4th
| Super 4th/ <br /> Augmented 4th
|Narrow Tritone
| Small Tritone
|WS4
| low augmented fourth
|
|  
|Small Tritone
| vvA4
| WS4
| [[25/18]]
|-
|-
| |35
| 35
| |583.333
| 583.33
| |7/5
| Narrow Tritone/ <br /> Tritone
| style="text-align:center;" |vA4, vd5
| A4
| style="text-align:center;" |downaug 4th, updim 5th
| Augmented 4th
|Narrow Tritone/
| Middle Tritone
Tritone
| augmented fourth
|A4
|
|
| vA4, vd5
|Middle Tritone
| A4
| [[7/5]]
|-
|-
| |36
| 36
| |600
| 600
| |99/70
| Tritone
| style="text-align:center;" |A4, d5
| WA4/nd5
| style="text-align:center;" |aug 4th, dim 5th
| Augmented 4th/ <br /> Diminished 5th
|Tritone
| Middle Tritone
|WA4/nd5
| augmented fourth
|
|  
|Middle Tritone
| A4, d5
| HO
| [[99/70]]
|-
|-
| |37
| 37
| |616.667
| 616.67
| |10/7
| Tritone/ <br /> Wide Tritone
| style="text-align:center;" |^A4, ^d5
| d5
| style="text-align:center;" |upaug 4th, downdim 5th
| Diminished 5th
|Tritone/
| Middle Tritone
 
| diminished fifth
Wide Tritone
|
|d5
| ^A4, ^d5
|
| d5
|Middle Tritone
| [[10/7]]
|-
|-
| |38
| 38
| |633.333
| 633.33
| |36/25
| Wide Tritone
| style="text-align:center;" |^^d5
| ns5
| style="text-align:center;" |double-updim 5th
| Diminished 5th/ <br /> Sub 5th
|Wide Tritone
| Large Tritone
|ns5
| high diminished fifth
|
|  
|Large Tritone
| ^^d5
| ns5
| [[36/25]]
|-
|-
| |39
| 39
| |650
| 650
| |16/11
| Wide Tritone/ <br /> Sub 5th
| style="text-align:center;" |v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>5
| s5
| style="text-align:center;" |triple-down 5th
| Sub 5th
|Wide Tritone/
| Sub 5th
 
| high diminished fifth
Sub 5th
| vao-P5
|s5
| vvv5
|
| s5
|Sub 5th
| [[16/11]]
|-
|-
| |40
| 40
| |666.667
| 666.67
| |22/15
| Wide Tritone/ <br /> Sub 5th
| style="text-align:center;" |vv5
| Ws5
| style="text-align:center;" |double-down 5th
| Sub 5th
|Wide Tritone/
| Sub 5th
 
| low fifth
Sub 5th
|
|Ws5
| vv5
|
| Ws5
|Sub 5th
| [[22/15]]
|-
|-
| |41
| 41
| |683.333
| 683.33
| |40/27
| Sub 5th/ <br /> Perfect 5th
| style="text-align:center;" |v5
| n5
| style="text-align:center;" |down 5th
| Sub 5th/ <br /> Perfect 5th
|Sub 5th/
| Small Perfect 5th
 
| low fifth
Perfect 5th
| pao-P5
|n5
| v5
|
| n5
|Small Perfect 5th
| [[40/27]]
|-
|-
| |42
| 42
| |700
| 700
| |3/2
| Perfect 5th
| style="text-align:center;" |P5
| P5
| style="text-align:center;" |perfect 5th
| Perfect 5th
|Perfect 5th
| Middle Perfect 5th
|P5
| fifth
|
| P5
|Middle Perfect 5th
| P5
| P5
| [[3/2]]
|-
|-
| |43
| 43
| |716.667
| 716.67
| |50/33
| Perfect 5th/ <br /> Super 5th
| style="text-align:center;" |^5
| W5
| style="text-align:center;" |up 5th
| Perfect 5th/ <br /> Super 5th
|Perfect 5th/
| Large Perfect 5th
Super 5th
| high fifth
|W5
|
|
| ^5
|Large Perfect 5th
| W5
| [[50/33]]
|-
|-
| |44
| 44
| |733.333
| 733.33
| |32/21
| Super 5th
| style="text-align:center;" |^^5
| nS5
| style="text-align:center;" |double-up 5th
| Super 5th
|Super 5th
| Interseptimal (5-min6)
|nS5
| high fifth
|
|  
|Interseptimal (5-min6)
| ^^5
| nS5
| [[32/21]]
|-
|-
| |45
| 45
| |750
| 750
| |54/35
| Super 5th/ <br /> Subminor 6th
| style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>5, v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>m6
| S5
| style="text-align:center;" |triple-up 5th,
| Super 5th/ <br /> Subminor 6th
triple-down minor 6th
| Interseptimal (5-min6)
|Super 5th/
| fifth–sixth
 
|
Subminor 6th
| ^^^5, vvvm6
|S5
| S5
|
| [[54/35]]
|Interseptimal (5-min6)
|-
|-
| |46
| 46
| |766.667
| 766.67
| |14/9
| Subminor 6th
| style="text-align:center;" |vvm6
| sm6
| style="text-align:center;" |double-downminor 6th
| Subminor 6th
|Subminor 6th
| Small Minor 6th
|sm6
| fifth–sixth
|
| tao-m6
|Small Minor 6th
| vvm6
| sm6
| [[14/9]]
|-
|-
| |47
| 47
| |783.333
| 783.33
| |11/7
| Subminor 6th/ <br /> Minor 6th
| style="text-align:center;" |vm6
| Wsm6
| style="text-align:center;" |downminor 6th
| Subminor 6th/ <br /> Minor 6th
|Subminor 6th/
| Middle Minor 6th
 
| low minor sixth
Minor 6th
|
|Wsm6
| vm6
|
| Wsm6
|Middle Minor 6th
| [[11/7]]
|-
|-
| |48
| 48
| |800
| 800
| |35/22
| Minor 6th
| style="text-align:center;" |m6
| nm6
| style="text-align:center;" |minor 6th
| Minor 6th
|Minor 6th
| Middle Minor 6th/ <br /> Large Minor 6th
|nm6
| minor sixth
|
| m6
|Middle Minor 6th/
| m6
Large Minor 6th
| nm6
| [[35/22]]
|-
|-
| |49
| 49
| |816.667
| 816.67
| |8/5
| Minor 6th/ <br /> Supraminor 6th
| style="text-align:center;" |^m6
| m6
| style="text-align:center;" |upminor 6th
| Minor 6th/ <br /> Supraminor 6th
|Minor 6th/
| Large Minor 6th
Supraminor 6th
| minor sixth
|m6
| pai-m6
|
| ^m6
|Large Minor 6th
| m6
| [[8/5]]
|-
|-
| |50
| 50
| |833.333
| 833.33
| |81/50
| Supraminor 6th/ <br /> Neutral 6th
| style="text-align:center;" |v~6
| nN6
| style="text-align:center;" |downmid 6th
| Supraminor 6th/ <br /> Neutral 6th
|Supraminor 6th/
| Small Neutral 6th
Neutral 6th
| low neutral sixth
|nN6
|
|
| v~6
|Small Neutral 6th
| nN6
| [[81/50]]
|-
|-
| |51
| 51
| |850
| 850
| |18/11
| Neutral 6th
| style="text-align:center;" |~6
| N6
| style="text-align:center;" |mid 6th
| Neutral 6th
|Neutral 6th
| Middle Neutral 6th
|N6
| low neutral sixth
|
|
|Middle Neutral 6th
| ~6
| N6
| [[18/11]]
|-
|-
| |52
| 52
| |866.667
| 866.67
| |33/20
| Neutral 6th/ <br /> Submajor 6th
| style="text-align:center;" |^~6
| WN6
| style="text-align:center;" |upmid 6th
| Neutral 6th/ <br /> Submajor 6th
|Neutral 6th/
| Large Neutral 6th
 
| high neutral sixth
Submajor 6th
|
|WN6
| ^~6
|
| WN6
|Large Neutral 6th
| [[33/20]]
|-
|-
| |53
| 53
| |883.333
| 883.33
| |5/3
| Submajor 6th/ <br /> Major 6th
| style="text-align:center;" |vM6
| M6
| style="text-align:center;" |downmajor 6th
| Submajor 6th/ <br /> Major 6th
|Submajor 6th/
| Small Major 6th
 
| major sixth
Major 6th
| pao-M6
|M6
| vM6
|
| M6
|Small Major 6th
| [[5/3]]
|-
|-
| |54
| 54
| |900
| 900
| |27/16
| Major 6th
| style="text-align:center;" |M6
| WM6
| style="text-align:center;" |major 6th
| Major 6th
|Major 6th
| Small Major 6th/ <br /> Middle Major 6th
|WM6
| major sixth
|
| M6
|Small Major 6th/
| M6
Middle Major 6th
| WM6
| [[27/16]]
|-
|-
| |55
| 55
| |916.667
| 916.67
| |56/33
| Major 6th/ <br /> Supermajor 6th
| style="text-align:center;" |^M6
| sSM6
| style="text-align:center;" |upmajor 6th
| Major 6th/ <br /> Supermajor 6th
|Major 6th/
| Middle Major 6th
Supermajor 6th
| high major sixth
|sSM6
|
|
| ^M6
|Middle Major 6th
| sSM6
| [[56/33]]
|-
|-
| |56
| 56
| |933.333
| 933.33
| |12/7
| Supermajor 6th
| style="text-align:center;" |^^M6
| SM6
| style="text-align:center;" |double-upmajor 6th
| Supermajor 6th
|Supermajor 6th
| Large Major 6th
|SM6
| high major sixth
|
| tai-M6
|Large Major 6th
| ^^M6
| SM6
| [[12/7]]
|-
|-
| |57
| 57
| |950
| 950
| |121/70
| Supermajor 6th/ <br /> Subminor 7th
| style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>M6, v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>m7
| WSM6/nsm7
| style="text-align:center;" |triple-up major 6th,
| Supermajor 6th/ <br /> Subminor 7th
triple-down minor 7th
| Interseptimal (Maj6-min7)
|Supermajor 6th/
| sixth–seventh
Subminor 7th
|  
|WSM6/nsm7
| ^^^M6, vvvm7
|
| Sinth
|Interseptimal (Maj6-min7)
| [[121/70]]
|-
|-
| |58
| 58
| |966.667
| 966.67
| |7/4
| Subminor 7th
| style="text-align:center;" |vvm7
| sm7
| style="text-align:center;" |double-downminor 7th
| Subminor 7th
|Subminor 7th
| Small Minor 7th
|sm7
| low minor seventh
|
| tao-m7
|Small Minor 7th
| vvm7
| sm7
| [[7/4]]
|-
|-
| |59
| 59
| |983.333
| 983.33
| |44/25
| Subminor 7th/ <br /> Minor 7th
| style="text-align:center;" |vm7
| Wsm7
| style="text-align:center;" |downminor 7th
| Subminor 7th/ <br /> Minor 7th
|Subminor 7th/
| Middle Minor 7th
Minor 7th
| low minor seventh
|Wsm7
|
|
| vm7
|Middle Minor 7th
| Wsm7
| [[44/25]]
|-
|-
| |60
| 60
| |1000
| 1000
| |16/9
| Minor 7th
| style="text-align:center;" |m7
| nm7
| style="text-align:center;" |minor 7th
| Minor 7th
|Minor 7th
| Middle Minor 7th/ <br /> Large Minor 7th
|nm7
| minor seventh
|
| m7
|Middle Minor 7th/
| m7
Large Minor 7th
| nm7
| [[16/9]]
|-
|-
| |61
| 61
| |1016.667
| 1016.67
| |9/5
| Minor 7th/ <br /> Supraminor 7th
| style="text-align:center;" |^m7
| m7
| style="text-align:center;" |upminor 7th
| Minor 7th
|Minor 7th/
| Large Minor 7th
Supraminor 7th
| minor seventh
|m7
| pai-m7
|
| ^m7
|Large Minor 7th
| m7
| [[9/5]]
|-
|-
| |62
| 62
| |1033.333
| 1033.33
| |20/11
| Supraminor 7th/ <br /> Neutral 7th
| style="text-align:center;" |v~7
| nN7
| style="text-align:center;" |downmid 7th
| Minor 7th/ <br /> Neutral 7th
|Supraminor 7th/
| Small Neutral 7th
Neutral 7th
| low neutral seventh
|nN7
|
|
| v~7
|Small Neutral 7th
| nN7
| [[20/11]]
|-
|-
| |63
| 63
| |1050
| 1050
| |11/6
| Neutral 7th
| style="text-align:center;" |~7
| N7
| style="text-align:center;" |mid 7th
| Neutral 7th
|Neutral 7th
| Middle Neutral 7th
|N7
| high neutral seventh
|
|
|Middle Neutral 7th
| ~7
| N7
| [[11/6]]
|-
|-
| |64
| 64
| |1066.667
| 1066.67
| |50/27
| Neutral 7th/ <br /> Submajor 7th
| style="text-align:center;" |^~7
| WN7
| style="text-align:center;" |upmin 7th
| Neutral 7th/ <br /> Major 7th
|Neutral 7th/
| Large Neutral 7th
Submajor 7th
| high neutral seventh
|WN7
|
|
| ^~7
|Large Neutral 7th
| WN7
| [[50/27]]
|-
|-
| |65
| 65
| |1083.333
| 1083.33
| |15/8
| Submajor 7th/ <br /> Major 7th
| style="text-align:center;" |vM7
| M7
| style="text-align:center;" |downmajor 7th
| Major 7th
|Submajor 7th/
| Small Major 7th
Major 7th
| major seventh
|M7
| pao-M7
|
| vM7
|Small Major 7th
| M7
| [[15/8]]
|-
|-
| |66
| 66
| |1100
| 1100
| |66/35
| Major 7th
| style="text-align:center;" |M7
| WM7
| style="text-align:center;" |major 7th
| Major 7th
|Major 7th
| Small Major 7th/ <br /> Middle Major 7th
|WM7
| major seventh
|
| M7
|Small Major 7th/
| M7
Middle Major 7th
| WM7
| [[66/35]]
|-
|-
| |67
| 67
| |1116.667
| 1116.67
| |21/11
| Major 7th/ <br /> Supermajor 7th
| style="text-align:center;" |^M7
| nSM7
| style="text-align:center;" |upmajor 7th
| Major 7th/ <br /> Supermajor 7th
|Major 7th/
| Middle Major 7th
Supermajor 7th
| diminished octave
|nSM7
|
|
| ^M7
|Middle Major 7th
| nSM7
| [[21/11]]
|-
|-
| |68
| 68
| |1133.333
| 1133.33
| |27/14
| Supermajor 7th
| style="text-align:center;" |^^M7
| SM7
| style="text-align:center;" |double-upmajor 7th
| Supermajor 7th
|Supermajor 7th
| Large Major 7th
|SM7
| high diminished octave
|
| tai-M7
|Large Major 7th
| ^^M7
| SM7
| [[27/14]]
|-
|-
| |69
| 69
| |1150
| 1150
| |35/18
| Supermajor 7th/ <br /> Sub Octave
| style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>M7, v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>8
| s8
| style="text-align:center;" |triple-up major 7th,
| Supermajor 7th/ <br /> Sub Octave
triple-down octave
| Octave less dieses
|Supermajor 7th/
| high diminished octave
Sub Octave
| vao-P8
|s8
| ^^^M7, vvv8
|
| s8
|Octave less dieses
| [[35/18]]
|-
|-
| |70
| 70
| |1166.667
| 1166.67
| |49/25
| Sub Octave
| style="text-align:center;" |vv8
| Ws8
| style="text-align:center;" |double-down octave
| Sub Octave
|Sub Octave
| Octave less dieses
|Ws8
| low octave
|
| tao-P8
|Octave less dieses
| vv8
| Ws8
| [[49/25]]
|-
|-
| |71
| 71
| |1183.333
| 1183.33
| |99/50
| Sub Octave
| style="text-align:center;" |v8
| n8
| style="text-align:center;" |down octave
| Sub Octave
|Sub Octave
| Octave less comma
|n8
| low octave
|
| pao-P8
|Octave less comma
| v8
| n8
| [[99/50]]
|-
|-
| |72
| 72
| |1200
| 1200
| |2/1
| Octave
| style="text-align:center;" |P8
| P8
| style="text-align:center;" |perfect octave
| Octave
|Octave
| Octave
|P8
| octave
|
| P9
|Octave
| P8
|}
| P8
| [[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>

Latest revision as of 15:39, 13 September 2024

Degrees Cents Igs' Input Keenan Category Kite's Correction Margo's Method Piotr Grochowski SagiSpeak Ups and a-downs Gareth's Go Represented Ratios (11-limit)
0 0 Unison P1 Unison Unison unison P1 P1 P1 1/1
1 16.67 Super Unison WP1 Super Unison Comma high unison pai-P1 ^1 WP1 81/80
2 33.33 Super Unison nS1 Super Unison Dieses high unison tai-P1 ^^ nS1 45/44
3 50 Super Unison/
Subminor 2nd
S1 Super Unison/
Subminor 2nd
Dieses low augmented unison vai-P1 ^^^1, vvvm2 S1 33/32
4 66.67 Subminor 2nd sm2 Subminor 2nd Small Minor 2nd low augmented unison tao-m2 vvm2 sm2 25/24
5 83.33 Subminor 2nd/
Minor 2nd
Wsm2 Subminor 2nd/
Minor 2nd
Middle Minor 2nd augmented unison vm2 Wsm2 21/20
6 100 Minor 2nd nm2 Minor 2nd Middle Minor 2nd/
Large Minor 2nd
minor second m2 m2 nm2 35/33
7 116.67 Minor 2nd/
Supraminor 2nd
m2 Minor 2nd Large Minor 2nd minor second pai-m2 ^m2 m2 15/14
8 133.33 Supraminor 2nd/
Neutral 2nd
nN2 Minor 2nd/
Neutral 2nd
Small Neutral 2nd low neutral second v~2 nN2 27/25
9 150 Neutral 2nd N2 Neutral 2nd Middle Neutral 2nd low neutral second ~2 N2 12/11
10 166.67 Neutral 2nd/
Submajor 2nd
WN2 Neutral 2nd/
Major 2nd
Large Neutral 2nd high neutral second ^~2 WN2 11/10
11 183.33 Submajor 2nd/
Major 2nd
M2 Major 2nd Small Major 2nd major second pao-M2 vM2 M2 10/9
12 200 Major 2nd WM2 Major 2nd Small Major 2nd/
Middle Major 2nd
major second M2 M2 WM2 9/8
13 216.67 Major 2nd/
Supermajor 2nd
nSM2 Major 2nd/
Supermajor 2nd
Middle Major 2nd high major second ^M2 nSM2 25/22
14 233.33 Supermajor 2nd SM2 Supermajor 2nd Large Major 2nd high major second tai-M2 ^^M2 SM2 8/7
15 250 Supermajor 2nd/
Subminor 3rd
WSm2/nsm3 Supermajor 2nd/
Subminor 3rd
Interseptimal (Maj2-min3) second–third ^^^M2, vvvm3 Serd 81/70
16 266.67 Subminor 3rd sm3 Subminor 3rd Small Minor 3rd low minor third tao-m3 vvm3 sm3 7/6
17 283.33 Subminor 3rd/
Minor 3rd
Wsm3 Subminor 3rd/
Minor 3rd
Middle Minor 3rd low minor third vm3 Wsm3 33/28
18 300 Minor 3rd nm3 Minor 3rd Middle Minor 3rd/
Large minor 3rd
minor third m3 m3 nm3 25/21
19 316.67 Minor 3rd/
Supraminor 3rd
m3 Minor 3rd Large Minor 3rd minor third pai-m3 ^m3 m3 6/5
20 333.33 Supraminor 3rd/
Neutral 3rd
nN3 Minor 3rd/
Neutral 3rd
Small Neutral 3rd low neutral third v~3 nN3 40/33
21 350 Neutral 3rd N3 Neutral 3rd Middle Neutral 3rd high neutral third ~3 N3 11/9
22 366.67 Neutral 3rd/
Submajor 3rd
WN3 Neutral 3rd/
Major 3rd
Large Neutral 3rd high neutral third ^~3 WN3 99/80
23 383.33 Submajor 3rd/
Major 3rd
M3 Major 3rd Small Major 3rd major third pao-M3 vM3 M3 5/4
24 400 Major 3rd WM3 Major 3rd Small Major 3rd/
Middle Major 3rd
major third M3 M3 WM3 44/35
25 416.67 Major 3rd/
Supermajor 3rd
nSM3 Major 3rd/
Supermajor 3rd
Middle Major third high major third ^M3 nSM3 14/11
26 433.33 Supermajor 3rd SM3 Supermajor 3rd Large Major third third–fourth tai-M3 ^^M3 SM3 9/7
27 450 Supermajor 3rd/
Sub 4th
s4 Supermajor 3rd/
Sub 4th
Interseptimal (Maj3-4) third–fourth ^^^M3, vvv4 s4 35/27
28 466.67 Sub 4th Ws4 Sub 4th Interseptimal (Maj3-4) low fourth tao-P4 vv4 Ws4 21/16
29 483.33 Sub 4th/
Perfect 4th
nP4 Sub 4th/
Perfect 4th
Small Perfect 4th low fourth v4 nP4 33/25
30 500 Perfect 4th P4 Perfect 4th Middle Perfect 4th fourth P4 P4 P4 4/3
31 516.67 Perfect 4th/
Super 4th
WP4 Perfect 4th/
Super 4th
Large Perfect 4th high fourth pai-P4 ^4 WP4 27/20
32 533.33 Super 4th/
Narrow Tritone
nS4 Super 4th Super 4th high fourth ^^4 nS4 15/11
33 550 Super 4th/
Narrow Tritone
S4 Super 4th Super 4th low augmented fourth vai-P4 ^^^4 S4 11/8
34 566.67 Narrow Tritone WS4 Super 4th/
Augmented 4th
Small Tritone low augmented fourth vvA4 WS4 25/18
35 583.33 Narrow Tritone/
Tritone
A4 Augmented 4th Middle Tritone augmented fourth vA4, vd5 A4 7/5
36 600 Tritone WA4/nd5 Augmented 4th/
Diminished 5th
Middle Tritone augmented fourth A4, d5 HO 99/70
37 616.67 Tritone/
Wide Tritone
d5 Diminished 5th Middle Tritone diminished fifth ^A4, ^d5 d5 10/7
38 633.33 Wide Tritone ns5 Diminished 5th/
Sub 5th
Large Tritone high diminished fifth ^^d5 ns5 36/25
39 650 Wide Tritone/
Sub 5th
s5 Sub 5th Sub 5th high diminished fifth vao-P5 vvv5 s5 16/11
40 666.67 Wide Tritone/
Sub 5th
Ws5 Sub 5th Sub 5th low fifth vv5 Ws5 22/15
41 683.33 Sub 5th/
Perfect 5th
n5 Sub 5th/
Perfect 5th
Small Perfect 5th low fifth pao-P5 v5 n5 40/27
42 700 Perfect 5th P5 Perfect 5th Middle Perfect 5th fifth P5 P5 P5 3/2
43 716.67 Perfect 5th/
Super 5th
W5 Perfect 5th/
Super 5th
Large Perfect 5th high fifth ^5 W5 50/33
44 733.33 Super 5th nS5 Super 5th Interseptimal (5-min6) high fifth ^^5 nS5 32/21
45 750 Super 5th/
Subminor 6th
S5 Super 5th/
Subminor 6th
Interseptimal (5-min6) fifth–sixth ^^^5, vvvm6 S5 54/35
46 766.67 Subminor 6th sm6 Subminor 6th Small Minor 6th fifth–sixth tao-m6 vvm6 sm6 14/9
47 783.33 Subminor 6th/
Minor 6th
Wsm6 Subminor 6th/
Minor 6th
Middle Minor 6th low minor sixth vm6 Wsm6 11/7
48 800 Minor 6th nm6 Minor 6th Middle Minor 6th/
Large Minor 6th
minor sixth m6 m6 nm6 35/22
49 816.67 Minor 6th/
Supraminor 6th
m6 Minor 6th/
Supraminor 6th
Large Minor 6th minor sixth pai-m6 ^m6 m6 8/5
50 833.33 Supraminor 6th/
Neutral 6th
nN6 Supraminor 6th/
Neutral 6th
Small Neutral 6th low neutral sixth v~6 nN6 81/50
51 850 Neutral 6th N6 Neutral 6th Middle Neutral 6th low neutral sixth ~6 N6 18/11
52 866.67 Neutral 6th/
Submajor 6th
WN6 Neutral 6th/
Submajor 6th
Large Neutral 6th high neutral sixth ^~6 WN6 33/20
53 883.33 Submajor 6th/
Major 6th
M6 Submajor 6th/
Major 6th
Small Major 6th major sixth pao-M6 vM6 M6 5/3
54 900 Major 6th WM6 Major 6th Small Major 6th/
Middle Major 6th
major sixth M6 M6 WM6 27/16
55 916.67 Major 6th/
Supermajor 6th
sSM6 Major 6th/
Supermajor 6th
Middle Major 6th high major sixth ^M6 sSM6 56/33
56 933.33 Supermajor 6th SM6 Supermajor 6th Large Major 6th high major sixth tai-M6 ^^M6 SM6 12/7
57 950 Supermajor 6th/
Subminor 7th
WSM6/nsm7 Supermajor 6th/
Subminor 7th
Interseptimal (Maj6-min7) sixth–seventh ^^^M6, vvvm7 Sinth 121/70
58 966.67 Subminor 7th sm7 Subminor 7th Small Minor 7th low minor seventh tao-m7 vvm7 sm7 7/4
59 983.33 Subminor 7th/
Minor 7th
Wsm7 Subminor 7th/
Minor 7th
Middle Minor 7th low minor seventh vm7 Wsm7 44/25
60 1000 Minor 7th nm7 Minor 7th Middle Minor 7th/
Large Minor 7th
minor seventh m7 m7 nm7 16/9
61 1016.67 Minor 7th/
Supraminor 7th
m7 Minor 7th Large Minor 7th minor seventh pai-m7 ^m7 m7 9/5
62 1033.33 Supraminor 7th/
Neutral 7th
nN7 Minor 7th/
Neutral 7th
Small Neutral 7th low neutral seventh v~7 nN7 20/11
63 1050 Neutral 7th N7 Neutral 7th Middle Neutral 7th high neutral seventh ~7 N7 11/6
64 1066.67 Neutral 7th/
Submajor 7th
WN7 Neutral 7th/
Major 7th
Large Neutral 7th high neutral seventh ^~7 WN7 50/27
65 1083.33 Submajor 7th/
Major 7th
M7 Major 7th Small Major 7th major seventh pao-M7 vM7 M7 15/8
66 1100 Major 7th WM7 Major 7th Small Major 7th/
Middle Major 7th
major seventh M7 M7 WM7 66/35
67 1116.67 Major 7th/
Supermajor 7th
nSM7 Major 7th/
Supermajor 7th
Middle Major 7th diminished octave ^M7 nSM7 21/11
68 1133.33 Supermajor 7th SM7 Supermajor 7th Large Major 7th high diminished octave tai-M7 ^^M7 SM7 27/14
69 1150 Supermajor 7th/
Sub Octave
s8 Supermajor 7th/
Sub Octave
Octave less dieses high diminished octave vao-P8 ^^^M7, vvv8 s8 35/18
70 1166.67 Sub Octave Ws8 Sub Octave Octave less dieses low octave tao-P8 vv8 Ws8 49/25
71 1183.33 Sub Octave n8 Sub Octave Octave less comma low octave pao-P8 v8 n8 99/50
72 1200 Octave P8 Octave Octave octave P9 P8 P8 2/1

See also