72edo-interval names: Difference between revisions

Xenwolf (talk | contribs)
minor corrections, started reworking to proper MediaWiki style and adding wikilinks to interval pages
Xenwolf (talk | contribs)
m rework wiki syntax done; links to existing (and future) wiki pages
Line 9: Line 9:
! SagiSpeak
! SagiSpeak
! Gareth's Go
! Gareth's Go
! Represented Ratios (11-limit)
! Represented Ratios ([[11-limit]])
|-
|-
| 0
| 0
Line 43: Line 43:
| 3
| 3
| 50
| 50
| Super Unison/Subminor 2nd
| Super Unison/ <br/> Subminor 2nd
| S1
| S1
| Super Unison/Subminor 2nd
| Super Unison/ <br/> Subminor 2nd
| Dieses
| Dieses
| vai-P1
| vai-P1
Line 63: Line 63:
| 5
| 5
| 83.33
| 83.33
| Subminor 2nd/Minor 2nd
| Subminor 2nd/ <br/> Minor 2nd
| Wsm2
| Wsm2
| Subminor 2nd/Minor 2nd
| Subminor 2nd/ <br/> Minor 2nd
| Middle Minor 2nd
| Middle Minor 2nd
|
|
Line 76: Line 76:
| nm2
| nm2
| Minor 2nd
| Minor 2nd
| Middle Minor 2nd/Large Minor 2nd
| Middle Minor 2nd/ <br/> Large Minor 2nd
| m2
| m2
| nm2
| nm2
Line 83: Line 83:
| 7
| 7
| 116.67
| 116.67
| Minor 2nd/Supraminor 2nd
| Minor 2nd/ <br/> Supraminor 2nd
| m2
| m2
| Minor 2nd
| Minor 2nd
Line 93: Line 93:
| 8
| 8
| 133.33
| 133.33
| Supraminor 2nd/Neutral 2nd
| Supraminor 2nd/ <br/> Neutral 2nd
| nN2
| nN2
| Minor 2nd/Neutral 2nd
| Minor 2nd/ <br/> Neutral 2nd
| Small Neutral 2nd
| Small Neutral 2nd
|
|
Line 113: Line 113:
| 10
| 10
| 166.67
| 166.67
| Neutral 2nd/Submajor 2nd
| Neutral 2nd/ <br/> Submajor 2nd
| WN2
| WN2
| Neutral 2nd/Major 2nd
| Neutral 2nd/ <br/> Major 2nd
| Large Neutral 2nd
| Large Neutral 2nd
|
|
Line 123: Line 123:
| 11
| 11
| 183.33
| 183.33
| Submajor 2nd/Major 2nd
| Submajor 2nd/ <br/> Major 2nd
| M2
| M2
| Major 2nd
| Major 2nd
Line 136: Line 136:
| WM2
| WM2
| Major 2nd
| Major 2nd
| Small Major 2nd/Middle Major 2nd
| Small Major 2nd/ <br/> Middle Major 2nd
| M2
| M2
| WM2
| WM2
Line 143: Line 143:
| 13
| 13
| 216.67
| 216.67
| Major 2nd/Supermajor 2nd
| Major 2nd/ <br/> Supermajor 2nd
| nSM2
| nSM2
| Major 2nd/Supermajor 2nd
| Major 2nd/ <br/> Supermajor 2nd
| Middle Major 2nd
| Middle Major 2nd
|
|
Line 163: Line 163:
| 15
| 15
| 250
| 250
| Supermajor 2nd/Subminor 3rd
| Supermajor 2nd/ <br/> Subminor 3rd
| WSm2/nsm3
| WSm2/nsm3
| Supermajor 2nd/Subminor 3rd
| Supermajor 2nd/ <br/> Subminor 3rd
| Interseptimal (Maj2-min3)
| Interseptimal (Maj2-min3)
|
|
Line 171: Line 171:
| [[81/70]]
| [[81/70]]
|-
|-
| |16
| 16
| |266.67
| 266.67
|Subminor 3rd
| Subminor 3rd
|sm3
| sm3
|Subminor 3rd
| Subminor 3rd
|Small Minor 3rd
| Small Minor 3rd
|tao-m3
| tao-m3
|sm3
| sm3
|7/6
| [[7/6]]
|-
|-
| |17
| 17
| |283.33
| 283.33
|Subminor 3rd/
| Subminor 3rd/ <br/> Minor 3rd
 
| Wsm3
Minor 3rd
| Subminor 3rd/ <br/> Minor 3rd
|Wsm3
| Middle Minor 3rd
|Subminor 3rd/
|  
 
| Wsm3
Minor 3rd
| [[33/28]]
|Middle Minor 3rd
|
|Wsm3
|33/28
|-
|-
| |18
| 18
| |300
| 300
|Minor 3rd
| Minor 3rd
|nm3
| nm3
|Minor 3rd
| Minor 3rd
|Middle Minor 3rd/
| Middle Minor 3rd/ <br/> Large minor 3rd
Large minor 3rd
| m3
|m3
| nm3
|nm3
| [[25/21]]
|25/21
|-
|-
| |19
| 19
| |316.67
| 316.67
|Minor 3rd/
| Minor 3rd/ <br/> Supraminor 3rd
Supraminor 3rd
| m3
|m3
| Minor 3rd
|Minor 3rd
| Large Minor 3rd
|Large Minor 3rd
| pai-m3
|pai-m3
| m3
|m3
| [[6/5]]
|6/5
|-
|-
| |20
| 20
| |333.33
| 333.33
|Supraminor 3rd/
| Supraminor 3rd/ <br/> Neutral 3rd
 
| nN3
Neutral 3rd
| Minor 3rd/ <br/> Neutral 3rd
|nN3
| Small Neutral 3rd
|Minor 3rd/
|  
 
| nN3
Neutral 3rd
| [[40/33]]
|Small Neutral 3rd
|
|nN3
|40/33
|-
|-
| |21
| 21
| |350
| 350
|Neutral 3rd
| Neutral 3rd
|N3
| N3
|Neutral 3rd
| Neutral 3rd
|Middle Neutral 3rd
| Middle Neutral 3rd
|
|  
|N3
| N3
|11/9
| [[11/9]]
|-
|-
| |22
| 22
| |366.67
| 366.67
|Neutral 3rd/
| Neutral 3rd/ <br/> Submajor 3rd
 
| WN3
Submajor 3rd
| Neutral 3rd/ <br/> Major 3rd
|WN3
| Large Neutral 3rd
|Neutral 3rd/
|  
 
| WN3
Major 3rd
| [[99/80]]
|Large Neutral 3rd
|
|WN3
|99/80
|-
|-
| |23
| 23
| |383.33
| 383.33
|Submajor 3rd/
| Submajor 3rd/ <br/> Major 3rd
 
| M3
Major 3rd
| Major 3rd
|M3
| Small Major 3rd
|Major 3rd
| pao-M3
|Small Major 3rd
| M3
|pao-M3
| [[5/4]]
|M3
|5/4
|-
|-
| |24
| 24
| |400
| 400
|Major 3rd
| Major 3rd
|WM3
| WM3
|Major 3rd
| Major 3rd
|Small Major 3rd/
| Small Major 3rd/ <br/> Middle Major 3rd
Middle Major 3rd
| M3
|M3
| WM3
|WM3
| [[44/35]]
|44/35
|-
|-
| |25
| 25
| |416.67
| 416.67
|Major 3rd/
| Major 3rd/ <br/> Supermajor 3rd
 
| nSM3
Supermajor 3rd
| Major 3rd/ <br/> Supermajor 3rd
|nSM3
| Middle Major third
|Major 3rd/
 
Supermajor 3rd
|Middle Major third
|
|
|nSM3
| nSM3
|14/11
| [[14/11]]
|-
|-
| |26
| 26
| |433.33
| 433.33
|Supermajor 3rd
| Supermajor 3rd
|SM3
| SM3
|Supermajor 3rd
| Supermajor 3rd
|Large Major third
| Large Major third
|tai-M3
| tai-M3
|SM3
| SM3
|9/7
| [[9/7]]
|-
|-
| |27
| 27
| |450
| 450
|Supermajor 3rd/
| Supermajor 3rd/ <br/> Sub 4th
 
| s4
Sub 4th
| Supermajor 3rd/ <br/> Sub 4th
|s4
| Interseptimal (Maj3-4)
|Supermajor 3rd/
 
Sub 4th
|Interseptimal (Maj3-4)
|
|
|s4
| s4
|35/27
| [[35/27]]
|-
|-
| |28
| 28
| |466.67
| 466.67
|Sub 4th
| Sub 4th
|Ws4
| Ws4
|Sub 4th
| Sub 4th
|Interseptimal (Maj3-4)
| Interseptimal (Maj3-4)
|tao-P4
| tao-P4
|Ws4
| Ws4
|21/16
| [[21/16]]
|-
|-
| |29
| 29
| |483.33
| 483.33
|Sub 4th/
| Sub 4th/ <br/> Perfect 4th
 
| nP4
Perfect 4th
| Sub 4th/ <br/> Perfect 4th
|nP4
| Small Perfect 4th
|Sub 4th/
 
Perfect 4th
|Small Perfect 4th
|
|
|nP4
| nP4
|33/25
| [[33/25]]
|-
|-
| |30
| 30
| |500
| 500
|Perfect 4th
| Perfect 4th
|P4
| P4
|Perfect 4th
| Perfect 4th
|Middle Perfect 4th
| Middle Perfect 4th
|P4
| P4
|P4
| P4
|4/3
| [[4/3]]
|-
|-
| |31
| 31
| |516.67
| 516.67
|Perfect 4th/
| Perfect 4th/ <br/> Super 4th
 
| WP4
Super 4th
| Perfect 4th/ <br/> Super 4th
|WP4
| Large Perfect 4th
|Perfect 4th/
| pai-P4
 
| WP4
Super 4th
| [[27/20]]
|Large Perfect 4th
|pai-P4
|WP4
|27/20
|-
|-
| |32
| 32
| |533.33
| 533.33
|Super 4th/
| Super 4th/ <br/> Narrow Tritone
 
| nS4
Narrow Tritone
| Super 4th
|nS4
| Super 4th
|Super 4th
|Super 4th
|
|
|nS4
| nS4
|15/11
| [[15/11]]
|-
|-
| |33
| 33
| |550
| 550
|Super 4th/
| Super 4th/ <br/> Narrow Tritone
 
| S4
Narrow Tritone
| Super 4th
|S4
| Super 4th
|Super 4th
| vai-P4
|Super 4th
| S4
|vai-P4
| [[11/8]]
|S4
|11/8
|-
|-
| |34
| 34
| |566.67
| 566.67
|Narrow Tritone
| Narrow Tritone
|WS4
| WS4
|Super 4th/
| Super 4th/ <br/> Augmented 4th
Augmented 4th
| Small Tritone
|Small Tritone
|
|
|WS4
| WS4
|25/18
| [[25/18]]
|-
|-
| |35
| 35
| |583.33
| 583.33
|Narrow Tritone/
| Narrow Tritone/ <br/> Tritone
Tritone
| A4
|A4
| Augmented 4th
|Augmented 4th
| Middle Tritone
|Middle Tritone
|
|
|A4
| A4
|7/5
| [[7/5]]
|-
|-
| |36
| 36
| |600
| 600
|Tritone
| Tritone
|WA4/nd5
| WA4/nd5
|Augmented 4th/
| Augmented 4th/ <br/> Diminished 5th
Diminished 5th
| Middle Tritone
|Middle Tritone
|
|
|HO
| HO
|99/70
| [[99/70]]
|-
|-
| |37
| 37
| |616.67
| 616.67
|Tritone/
| Tritone/ <br/> Wide Tritone
 
| d5
Wide Tritone
| Diminished 5th
|d5
| Middle Tritone
|Diminished 5th
|Middle Tritone
|
|
|d5
| d5
|10/7
| [[10/7]]
|-
|-
| |38
| 38
| |633.33
| 633.33
|Wide Tritone
| Wide Tritone
|ns5
| ns5
|Diminished 5th/
| Diminished 5th/ <br/> Sub 5th
Sub 5th
| Large Tritone
|Large Tritone
|
|
|ns5
| ns5
|36/25
| [[36/25]]
|-
|-
| |39
| 39
| |650
| 650
|Wide Tritone/
| Wide Tritone/ <br/> Sub 5th
 
| s5
Sub 5th
| Sub 5th
|s5
| Sub 5th
|Sub 5th
| vao-P5
|Sub 5th
| s5
|vao-P5
| [[16/11]]
|s5
|16/11
|-
|-
| |40
| 40
| |666.67
| 666.67
|Wide Tritone/
| Wide Tritone/ <br/> Sub 5th
 
| Ws5
Sub 5th
| Sub 5th
|Ws5
| Sub 5th
|Sub 5th
|Sub 5th
|
|
|Ws5
| Ws5
|22/15
| [[22/15]]
|-
|-
| |41
| 41
| |683.33
| 683.33
|Sub 5th/
| Sub 5th/ <br/> Perfect 5th
 
| n5
Perfect 5th
| Sub 5th/ <br/> Perfect 5th
|n5
| Small Perfect 5th
|Sub 5th/
| pao-P5
 
| n5
Perfect 5th
| [[40/27]]
|Small Perfect 5th
|pao-P5
|n5
|40/27
|-
|-
| |42
| 42
| |700
| 700
|Perfect 5th
| Perfect 5th
|P5
| P5
|Perfect 5th
| Perfect 5th
|Middle Perfect 5th
| Middle Perfect 5th
|P5
| P5
|P5
| P5
|3/2
| [[3/2]]
|-
|-
| |43
| 43
| |716.67
| 716.67
|Perfect 5th/
| Perfect 5th/ <br/> Super 5th
Super 5th
| W5
|W5
| Perfect 5th/ <br/> Super 5th
|Perfect 5th/
| Large Perfect 5th
Super 5th
|Large Perfect 5th
|
|
|W5
| W5
|50/33
| [[50/33]]
|-
|-
| |44
| 44
| |733.33
| 733.33
|Super 5th
| Super 5th
|nS5
| nS5
|Super 5th
| Super 5th
|Interseptimal (5-min6)
| Interseptimal (5-min6)
|
|
|nS5
| nS5
|32/21
| [[32/21]]
|-
|-
| |45
| 45
| |750
| 750
|Super 5th/
| Super 5th/ <br/> Subminor 6th
 
| S5
Subminor 6th
| Super 5th/ <br/> Subminor 6th
|S5
| Interseptimal (5-min6)
|Super 5th/
 
Subminor 6th
|Interseptimal (5-min6)
|
|
|S5
| S5
|54/35
| [[54/35]]
|-
|-
| |46
| 46
| |766.67
| 766.67
|Subminor 6th
| Subminor 6th
|sm6
| sm6
|Subminor 6th
| Subminor 6th
|Small Minor 6th
| Small Minor 6th
|tao-m6
| tao-m6
|sm6
| sm6
|14/9
| [[14/9]]
|-
|-
| |47
| 47
| |783.33
| 783.33
|Subminor 6th/
| Subminor 6th/ <br/> Minor 6th
 
| Wsm6
Minor 6th
| Subminor 6th/ <br/> Minor 6th
|Wsm6
| Middle Minor 6th
|Subminor 6th/
 
Minor 6th
|Middle Minor 6th
|
|
|Wsm6
| Wsm6
|11/7
| [[11/7]]
|-
|-
| |48
| 48
| |800
| 800
|Minor 6th
| Minor 6th
|nm6
| nm6
|Minor 6th
| Minor 6th
|Middle Minor 6th/
| Middle Minor 6th/ <br/> Large Minor 6th
Large Minor 6th
| m6
|m6
| nm6
|nm6
| [[35/22]]
|35/22
|-
|-
| |49
| 49
| |816.67
| 816.67
|Minor 6th/
| Minor 6th/ <br/> Supraminor 6th
Supraminor 6th
| m6
|m6
| Minor 6th/ <br/> Supraminor 6th
|Minor 6th/
| Large Minor 6th
Supraminor 6th
| pai-m6
|Large Minor 6th
| m6
|pai-m6
| [[8/5]]
|m6
|8/5
|-
|-
| |50
| 50
| |833.33
| 833.33
|Supraminor 6th/
| Supraminor 6th/ <br/> Neutral 6th
Neutral 6th
| nN6
|nN6
| Supraminor 6th/ <br/> Neutral 6th
|Supraminor 6th/
| Small Neutral 6th
Neutral 6th
|Small Neutral 6th
|
|
|nN6
| nN6
|81/50
| [[81/50]]
|-
|-
| |51
| 51
| |850
| 850
|Neutral 6th
| Neutral 6th
|N6
| N6
|Neutral 6th
| Neutral 6th
|Middle Neutral 6th
| Middle Neutral 6th
|
|
|N6
| N6
|18/11
| [[18/11]]
|-
|-
| |52
| 52
| |866.67
| 866.67
|Neutral 6th/
| Neutral 6th/ <br/> Submajor 6th
 
| WN6
Submajor 6th
| Neutral 6th/ <br/> Submajor 6th
|WN6
| Large Neutral 6th
|Neutral 6th/
 
Submajor 6th
|Large Neutral 6th
|
|
|WN6
| WN6
|33/20
| [[33/20]]
|-
|-
| |53
| 53
| |883.33
| 883.33
|Submajor 6th/
| Submajor 6th/ <br/> Major 6th
 
| M6
Major 6th
| Submajor 6th/ <br/> Major 6th
|M6
| Small Major 6th
|Submajor 6th/
| pao-M6
 
| M6
Major 6th
| [[5/3]]
|Small Major 6th
|pao-M6
|M6
|5/3
|-
|-
| |54
| 54
| |900
| 900
|Major 6th
| Major 6th
|WM6
| WM6
|Major 6th
| Major 6th
|Small Major 6th/
| Small Major 6th/ <br/> Middle Major 6th
Middle Major 6th
| M6
|M6
| WM6
|WM6
| [[27/16]]
|27/16
|-
|-
| |55
| 55
| |916.67
| 916.67
|Major 6th/
| Major 6th/ <br/> Supermajor 6th
Supermajor 6th
| sSM6
|sSM6
| Major 6th/ <br/> Supermajor 6th
|Major 6th/
| Middle Major 6th
Supermajor 6th
|Middle Major 6th
|
|
|sSM6
| sSM6
|56/33
| [[56/33]]
|-
|-
| |56
| 56
| |933.33
| 933.33
|Supermajor 6th
| Supermajor 6th
|SM6
| SM6
|Supermajor 6th
| Supermajor 6th
|Large Major 6th
| Large Major 6th
|tai-M6
| tai-M6
|SM6
| SM6
|12/7
| [[12/7]]
|-
|-
| |57
| 57
| |950
| 950
|Supermajor 6th/
| Supermajor 6th/ <br/> Subminor 7th
Subminor 7th
| WSM6/nsm7
|WSM6/nsm7
| Supermajor 6th/ <br/> Subminor 7th
|Supermajor 6th/
| Interseptimal (Maj6-min7)
Subminor 7th
|Interseptimal (Maj6-min7)
|
|
|Sinth
| Sinth
|121/70
| [[121/70]]
|-
|-
| |58
| 58
| |966.67
| 966.67
|Subminor 7th
| Subminor 7th
|sm7
| sm7
|Subminor 7th
| Subminor 7th
|Small Minor 7th
| Small Minor 7th
|tao-m7
| tao-m7
|sm7
| sm7
|7/4
| [[7/4]]
|-
|-
| |59
| 59
| |983.33
| 983.33
|Subminor 7th/
| Subminor 7th/ <br/> Minor 7th
Minor 7th
| Wsm7
|Wsm7
| Subminor 7th/ <br/> Minor 7th
|Subminor 7th/
| Middle Minor 7th
Minor 7th
|Middle Minor 7th
|
|
|Wsm7
| Wsm7
|44/25
| [[44/25]]
|-
|-
| |60
| 60
| |1000
| 1000
|Minor 7th
| Minor 7th
|nm7
| nm7
|Minor 7th
| Minor 7th
|Middle Minor 7th/
| Middle Minor 7th/ <br/> Large Minor 7th
Large Minor 7th
| m7
|m7
| nm7
|nm7
| [[16/9]]
|16/9
|-
|-
| |61
| 61
| |1016.67
| 1016.67
|Minor 7th/
| Minor 7th/ <br/> Supraminor 7th
Supraminor 7th
| m7
|m7
| Minor 7th
|Minor 7th
| Large Minor 7th
|Large Minor 7th
| pai-m7
|pai-m7
| m7
|m7
| [[9/5]]
|9/5
|-
|-
| |62
| 62
| |1033.33
| 1033.33
|Supraminor 7th/
| Supraminor 7th/ <br/> Neutral 7th
Neutral 7th
| nN7
|nN7
| Minor 7th/ <br/> Neutral 7th
|Minor 7th/
| Small Neutral 7th
Neutral 7th
|Small Neutral 7th
|
|
|nN7
| nN7
|20/11
| [[20/11]]
|-
|-
| |63
| 63
| |1050
| 1050
|Neutral 7th
| Neutral 7th
|N7
| N7
|Neutral 7th
| Neutral 7th
|Middle Neutral 7th
| Middle Neutral 7th
|
|
|N7
| N7
|11/6
| [[11/6]]
|-
|-
| |64
| 64
| |1066.67
| 1066.67
|Neutral 7th/
| Neutral 7th/ <br/> Submajor 7th
Submajor 7th
| WN7
|WN7
| Neutral 7th/ <br/> Major 7th
|Neutral 7th/
| Large Neutral 7th
Major 7th
|Large Neutral 7th
|
|
|WN7
| WN7
|50/27
| [[50/27]]
|-
|-
| |65
| 65
| |1083.33
| 1083.33
|Submajor 7th/
| Submajor 7th/ <br/> Major 7th
Major 7th
| M7
|M7
| Major 7th
|Major 7th
| Small Major 7th
|Small Major 7th
| pao-M7
|pao-M7
| M7
|M7
| [[15/8]]
|15/8
|-
|-
| |66
| 66
| |1100
| 1100
|Major 7th
| Major 7th
|WM7
| WM7
|Major 7th
| Major 7th
|Small Major 7th/
| Small Major 7th/ <br/> Middle Major 7th
Middle Major 7th
| M7
|M7
| WM7
|WM7
| [[66/35]]
|66/35
|-
|-
| |67
| 67
| |1116.67
| 1116.67
|Major 7th/
| Major 7th/ <br/> Supermajor 7th
Supermajor 7th
| nSM7
|nSM7
| Major 7th/ <br/> Supermajor 7th
|Major 7th/
| Middle Major 7th
Supermajor 7th
|Middle Major 7th
|
|
|nSM7
| nSM7
|21/11
| [[21/11]]
|-
|-
| |68
| 68
| |1133.33
| 1133.33
|Supermajor 7th
| Supermajor 7th
|SM7
| SM7
|Supermajor 7th
| Supermajor 7th
|Large Major 7th
| Large Major 7th
|tai-M7
| tai-M7
|SM7
| SM7
|27/14
| [[27/14]]
|-
|-
| |69
| 69
| |1150
| 1150
|Supermajor 7th/
| Supermajor 7th/ <br/> Sub Octave
Sub Octave
| s8
|s8
| Supermajor 7th/ <br/> Sub Octave
|Supermajor 7th/
| Octave less dieses
Sub Octave
| vao-P8
|Octave less dieses
| s8
|vao-P8
| [[35/18]]
|s8
|35/18
|-
|-
| |70
| 70
| |1166.67
| 1166.67
|Sub Octave
| Sub Octave
|Ws8
| Ws8
|Sub Octave
| Sub Octave
|Octave less dieses
| Octave less dieses
|tao-P8
| tao-P8
|Ws8
| Ws8
|49/25
| [[49/25]]
|-
|-
| |71
| 71
| |1183.33
| 1183.33
|Sub Octave
| Sub Octave
|n8
| n8
|Sub Octave
| Sub Octave
|Octave less comma
| Octave less comma
|pao-P8
| pao-P8
|n8
| n8
|99/50
| [[99/50]]
|-
|-
| |72
| 72
| |1200
| 1200
|Octave
| Octave
|P8
| P8
|Octave
| Octave
|Octave
| Octave
|P9
| P9
|P8
| P8
|2/1
| [[2/1]]
|}
|}