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