72edo-interval names: Difference between revisions

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| colspan="2" style="text-align:center;" |[[Ups and Downs Notation|ups and downs]] [[Ups and Downs Notation|notation]]
| colspan="2" style="text-align:center;" |[[Ups and Downs Notation|ups and downs]] [[Ups and Downs Notation|notation]]
|Igs' Input
|Igs' Input
|Keenan Category
|Kite's Colours
|Margo's Method
|-
|-
| |0
| |0
Line 12: Line 15:
| style="text-align:center;" |P1
| style="text-align:center;" |P1
| style="text-align:center;" |perfect unison
| style="text-align:center;" |perfect unison
|Unison
|
|
|Unison
|Unison
|-
|-
Line 20: Line 26:
| style="text-align:center;" |up unison
| style="text-align:center;" |up unison
|Super Unison
|Super Unison
|
|
|Comma
|-
|-
| |2
| |2
Line 27: Line 36:
| style="text-align:center;" |double-up unison
| style="text-align:center;" |double-up unison
|Super Unison
|Super Unison
|
|
|Dieses
|-
|-
| |3
| |3
Line 36: Line 48:
|Super Unison/
|Super Unison/
Subminor 2nd
Subminor 2nd
|
|
|Dieses
|-
|-
| |4
| |4
Line 43: Line 58:
| style="text-align:center;" |double-downminor 2nd
| style="text-align:center;" |double-downminor 2nd
|Subminor 2nd
|Subminor 2nd
|
|
|Small Minor 2nd
|-
|-
| |5
| |5
Line 51: Line 69:
|Subminor 2nd/
|Subminor 2nd/
Minor 2nd
Minor 2nd
|
|
|Middle Minor 2nd
|-
|-
| |6
| |6
Line 58: Line 79:
| style="text-align:center;" |minor 2nd
| style="text-align:center;" |minor 2nd
|Minor 2nd
|Minor 2nd
|
|
|Middle Minor 2nd/
Large Minor 2nd
|-
|-
| |7
| |7
Line 66: Line 91:
|Minor 2nd/
|Minor 2nd/
Supraminor 2nd
Supraminor 2nd
|
|
|Large Minor 2nd
|-
|-
| |8
| |8
Line 74: Line 102:
|Supraminor 2nd/
|Supraminor 2nd/
Neutral 2nd
Neutral 2nd
|
|
|Small Neutral 2nd
|-
|-
| |9
| |9
Line 81: Line 112:
| style="text-align:center;" |mid 2nd
| style="text-align:center;" |mid 2nd
|Neutral 2nd
|Neutral 2nd
|
|
|Middle Neutral 2nd
|-
|-
| |10
| |10
Line 89: Line 123:
|Neutral 2nd/
|Neutral 2nd/
Submajor 2nd
Submajor 2nd
|
|
|Large Neutral 2nd
|-
|-
| |11
| |11
Line 97: Line 134:
|Submajor 2nd/
|Submajor 2nd/
Major 2nd
Major 2nd
|
|
|Small Major 2nd
|-
|-
| |12
| |12
Line 104: Line 144:
| style="text-align:center;" |major 2nd
| style="text-align:center;" |major 2nd
|Major 2nd
|Major 2nd
|
|
|Small Major 2nd/
Middle Major 2nd
|-
|-
| |13
| |13
Line 112: Line 156:
|Major 2nd/
|Major 2nd/
Supermajor 2nd
Supermajor 2nd
|
|
|Middle Major 2nd
|-
|-
| |14
| |14
Line 119: Line 166:
| style="text-align:center;" |double-upmajor 2nd
| style="text-align:center;" |double-upmajor 2nd
|Supermajor 2nd
|Supermajor 2nd
|
|
|Large Major 2nd
|-
|-
| |15
| |15
Line 128: Line 178:
|Supermajor 2nd/
|Supermajor 2nd/
Subminor 3rd
Subminor 3rd
|
|
|Interseptimal (Maj2-min3)
|-
|-
| |16
| |16
Line 135: Line 188:
| style="text-align:center;" |double-downminor 3rd
| style="text-align:center;" |double-downminor 3rd
|Subminor 3rd
|Subminor 3rd
|
|
|Small Minor 3rd
|-
|-
| |17
| |17
Line 144: Line 200:


Minor third
Minor third
|
|
|Middle Minor 3rd
|-
|-
| |18
| |18
Line 151: Line 210:
| style="text-align:center;" |minor 3rd
| style="text-align:center;" |minor 3rd
|Minor 3rd
|Minor 3rd
|
|
|Middle Minor 3rd/
Large minor 3rd
|-
|-
| |19
| |19
Line 159: Line 222:
|Minor 3rd/
|Minor 3rd/
Supraminor 3rd
Supraminor 3rd
|
|
|Large Minor 3rd
|-
|-
| |20
| |20
Line 168: Line 234:


Neutral 3rd
Neutral 3rd
|
|
|Small Neutral 3rd
|-
|-
| |21
| |21
Line 175: Line 244:
| style="text-align:center;" |mid 3rd
| style="text-align:center;" |mid 3rd
|Neutral 3rd
|Neutral 3rd
|
|
|Middle Neutral 3rd
|-
|-
| |22
| |22
Line 184: Line 256:


Submajor 3rd
Submajor 3rd
|
|
|Large Neutral 3rd
|-
|-
| |23
| |23
Line 193: Line 268:


Major 3rd
Major 3rd
|
|
|Small Major 3rd
|-
|-
| |24
| |24
Line 200: Line 278:
| style="text-align:center;" |major 3rd
| style="text-align:center;" |major 3rd
|Major 3rd
|Major 3rd
|
|
|Small Major 3rd/
Middle Major 3rd
|-
|-
| |25
| |25
Line 209: Line 291:


Supermajor 3rd
Supermajor 3rd
|
|
|Middle Major third
|-
|-
| |26
| |26
Line 216: Line 301:
| style="text-align:center;" |double-upmajor 3rd
| style="text-align:center;" |double-upmajor 3rd
|Supermajor 3rd
|Supermajor 3rd
|
|
|Large Major third
|-
|-
| |27
| |27
Line 226: Line 314:


Sub 4th
Sub 4th
|
|
|Interseptimal (Maj3-4)
|-
|-
| |28
| |28
Line 233: Line 324:
| style="text-align:center;" |double-down 4th
| style="text-align:center;" |double-down 4th
|Sub 4th
|Sub 4th
|
|
|Interseptimal (Maj3-4)
|-
|-
| |29
| |29
Line 242: Line 336:


Perfect 4th
Perfect 4th
|
|
|Small Perfect 4th
|-
|-
| |30
| |30
Line 249: Line 346:
| style="text-align:center;" |perfect 4th
| style="text-align:center;" |perfect 4th
|Perfect 4th
|Perfect 4th
|
|
|Middle Perfect 4th
|-
|-
| |31
| |31
Line 258: Line 358:


Super 4th
Super 4th
|
|
|Large Perfect 4th
|-
|-
| |32
| |32
Line 267: Line 370:


Narrow Tritone
Narrow Tritone
|
|
|Super 4th
|-
|-
| |33
| |33
Line 276: Line 382:


Narrow Tritone
Narrow Tritone
|
|
|Super 4th
|-
|-
| |34
| |34
Line 283: Line 392:
| style="text-align:center;" |double-down aug 4th
| style="text-align:center;" |double-down aug 4th
|Narrow Tritone
|Narrow Tritone
|
|
|Small Tritone
|-
|-
| |35
| |35
Line 291: Line 403:
|Narrow Tritone/
|Narrow Tritone/
Tritone
Tritone
|
|
|Middle Tritone
|-
|-
| |36
| |36
Line 298: Line 413:
| style="text-align:center;" |aug 4th, dim 5th
| style="text-align:center;" |aug 4th, dim 5th
|Tritone
|Tritone
|
|
|Middle Tritone
|-
|-
| |37
| |37
Line 307: Line 425:


Wide Tritone
Wide Tritone
|
|
|Middle Tritone
|-
|-
| |38
| |38
Line 314: Line 435:
| style="text-align:center;" |double-updim 5th
| style="text-align:center;" |double-updim 5th
|Wide Tritone
|Wide Tritone
|
|
|Large Tritone
|-
|-
| |39
| |39
Line 323: Line 447:


Sub 5th
Sub 5th
|
|
|Sub 5th
|-
|-
| |40
| |40
Line 332: Line 459:


Sub 5th
Sub 5th
|
|
|Sub 5th
|-
|-
| |41
| |41
Line 341: Line 471:


Perfect 5th
Perfect 5th
|
|
|Small Perfect 5th
|-
|-
| |42
| |42
Line 348: Line 481:
| style="text-align:center;" |perfect 5th
| style="text-align:center;" |perfect 5th
|Perfect 5th
|Perfect 5th
|
|
|Middle Perfect 5th
|-
|-
| |43
| |43
Line 356: Line 492:
|Perfect 5th/
|Perfect 5th/
Super 5th
Super 5th
|
|
|Large Perfect 5th
|-
|-
| |44
| |44
Line 363: Line 502:
| style="text-align:center;" |double-up 5th
| style="text-align:center;" |double-up 5th
|Super 5th
|Super 5th
|
|
|Interseptimal (5-min6)
|-
|-
| |45
| |45
Line 373: Line 515:


Subminor 6th
Subminor 6th
|
|
|Interseptimal (5-min6)
|-
|-
| |46
| |46
Line 380: Line 525:
| style="text-align:center;" |double-downminor 6th
| style="text-align:center;" |double-downminor 6th
|Subminor 6th
|Subminor 6th
|
|
|Small Minor 6th
|-
|-
| |47
| |47
Line 389: Line 537:


Minor 6th
Minor 6th
|
|
|Middle Minor 6th
|-
|-
| |48
| |48
Line 396: Line 547:
| style="text-align:center;" |minor 6th
| style="text-align:center;" |minor 6th
|Minor 6th
|Minor 6th
|
|
|Middle Minor 6th/
Large Minor 6th
|-
|-
| |49
| |49
Line 404: Line 559:
|Minor 6th/
|Minor 6th/
Supraminor 6th
Supraminor 6th
|
|
|Large Minor 6th
|-
|-
| |50
| |50
Line 412: Line 570:
|Supraminor 6th/
|Supraminor 6th/
Neutral 6th
Neutral 6th
|
|
|Small Neutral 6th
|-
|-
| |51
| |51
Line 419: Line 580:
| style="text-align:center;" |mid 6th
| style="text-align:center;" |mid 6th
|Neutral 6th
|Neutral 6th
|
|
|Middle Neutral 6th
|-
|-
| |52
| |52
Line 428: Line 592:


Submajor 6th
Submajor 6th
|
|
|Large Neutral 6th
|-
|-
| |53
| |53
Line 437: Line 604:


Major 6th
Major 6th
|
|
|Small Major 6th
|-
|-
| |54
| |54
Line 444: Line 614:
| style="text-align:center;" |major 6th
| style="text-align:center;" |major 6th
|Major 6th
|Major 6th
|
|
|Small Major 6th/
Middle Major 6th
|-
|-
| |55
| |55
Line 452: Line 626:
|Major 6th/
|Major 6th/
Supermajor 6th
Supermajor 6th
|
|
|Middle Major 6th
|-
|-
| |56
| |56
Line 459: Line 636:
| style="text-align:center;" |double-upmajor 6th
| style="text-align:center;" |double-upmajor 6th
|Supermajor 6th
|Supermajor 6th
|
|
|Large Major 6th
|-
|-
| |57
| |57
Line 468: Line 648:
|Supermajor 6th/
|Supermajor 6th/
Subminor 7th
Subminor 7th
|
|
|Interseptimal (Maj6-min7)
|-
|-
| |58
| |58
Line 475: Line 658:
| style="text-align:center;" |double-downminor 7th
| style="text-align:center;" |double-downminor 7th
|Subminor 7th
|Subminor 7th
|
|
|Small Minor 7th
|-
|-
| |59
| |59
Line 483: Line 669:
|Subminor 7th/
|Subminor 7th/
Minor 7th
Minor 7th
|
|
|Middle Minor 7th
|-
|-
| |60
| |60
Line 490: Line 679:
| style="text-align:center;" |minor 7th
| style="text-align:center;" |minor 7th
|Minor 7th
|Minor 7th
|
|
|Middle Minor 7th/
Large Minor 7th
|-
|-
| |61
| |61
Line 498: Line 691:
|Minor 7th/
|Minor 7th/
Supraminor 7th
Supraminor 7th
|
|
|Large Minor 7th
|-
|-
| |62
| |62
Line 506: Line 702:
|Supraminor 7th/
|Supraminor 7th/
Neutral 7th
Neutral 7th
|
|
|Small Neutral 7th
|-
|-
| |63
| |63
Line 513: Line 712:
| style="text-align:center;" |mid 7th
| style="text-align:center;" |mid 7th
|Neutral 7th
|Neutral 7th
|
|
|Middle Neutral 7th
|-
|-
| |64
| |64
Line 521: Line 723:
|Neutral 7th/
|Neutral 7th/
Submajor 7th
Submajor 7th
|
|
|Large Neutral 7th
|-
|-
| |65
| |65
Line 529: Line 734:
|Submajor 7th/
|Submajor 7th/
Major 7th
Major 7th
|
|
|Small Major 7th
|-
|-
| |66
| |66
Line 536: Line 744:
| style="text-align:center;" |major 7th
| style="text-align:center;" |major 7th
|Major 7th
|Major 7th
|
|
|Small Major 7th/
Middle Major 7th
|-
|-
| |67
| |67
Line 544: Line 756:
|Major 7th/
|Major 7th/
Supermajor 7th
Supermajor 7th
|
|
|Middle Major 7th
|-
|-
| |68
| |68
Line 551: Line 766:
| style="text-align:center;" |double-upmajor 7th
| style="text-align:center;" |double-upmajor 7th
|Supermajor 7th
|Supermajor 7th
|
|
|Large Major 7th
|-
|-
| |69
| |69
Line 560: Line 778:
|Supermajor 7th/
|Supermajor 7th/
Sub Octave
Sub Octave
|
|
|Octave less dieses
|-
|-
| |70
| |70
Line 567: Line 788:
| style="text-align:center;" |double-down octave
| style="text-align:center;" |double-down octave
|Sub Octave
|Sub Octave
|
|
|Octave less dieses
|-
|-
| |71
| |71
Line 574: Line 798:
| style="text-align:center;" |down octave
| style="text-align:center;" |down octave
|Sub Octave
|Sub Octave
|
|
|Octave less comma
|-
|-
| |72
| |72
Line 580: Line 807:
| style="text-align:center;" |P8
| style="text-align:center;" |P8
| style="text-align:center;" |perfect octave
| style="text-align:center;" |perfect octave
|Octave
|
|
|Octave
|Octave
|}
|}

Revision as of 14:08, 28 September 2018

degrees cents value approximate ratios (11-limit) ups and downs notation Igs' Input Keenan Category Kite's Colours Margo's Method
0 0 1/1 P1 perfect unison Unison Unison
1 16.667 81/80 ^1 up unison Super Unison Comma
2 33.333 45/44 ^^ double-up unison Super Unison Dieses
3 50 33/32 ^31, v3m2 triple-up unison,

triple-down minor 2nd

Super Unison/

Subminor 2nd

Dieses
4 66.667 25/24 vvm2 double-downminor 2nd Subminor 2nd Small Minor 2nd
5 83.333 21/20 vm2 downminor 2nd Subminor 2nd/

Minor 2nd

Middle Minor 2nd
6 100 35/33 m2 minor 2nd Minor 2nd Middle Minor 2nd/

Large Minor 2nd

7 116.667 15/14 ^m2 upminor 2nd Minor 2nd/

Supraminor 2nd

Large Minor 2nd
8 133.333 27/25 v~2 downmid 2nd Supraminor 2nd/

Neutral 2nd

Small Neutral 2nd
9 150 12/11 ~2 mid 2nd Neutral 2nd Middle Neutral 2nd
10 166.667 11/10 ^~2 upmid 2nd Neutral 2nd/

Submajor 2nd

Large Neutral 2nd
11 183.333 10/9 vM2 downmajor 2nd Submajor 2nd/

Major 2nd

Small Major 2nd
12 200 9/8 M2 major 2nd Major 2nd Small Major 2nd/

Middle Major 2nd

13 216.667 25/22 ^M2 upmajor 2nd Major 2nd/

Supermajor 2nd

Middle Major 2nd
14 233.333 8/7 ^^M2 double-upmajor 2nd Supermajor 2nd Large Major 2nd
15 250 81/70 ^3M2, v3m3 triple-up major 2nd,

triple-down minor 3rd

Supermajor 2nd/

Subminor 3rd

Interseptimal (Maj2-min3)
16 266.667 7/6 vvm3 double-downminor 3rd Subminor 3rd Small Minor 3rd
17 283.333 33/28 vm3 downminor 3rd Subminor 3rd/

Minor third

Middle Minor 3rd
18 300 25/21 m3 minor 3rd Minor 3rd Middle Minor 3rd/

Large minor 3rd

19 316.667 6/5 ^m3 upminor 3rd Minor 3rd/

Supraminor 3rd

Large Minor 3rd
20 333.333 40/33 v~3 downmid 3rd Supraminor 3rd/

Neutral 3rd

Small Neutral 3rd
21 350 11/9 ~3 mid 3rd Neutral 3rd Middle Neutral 3rd
22 366.667 99/80 ^~3 upmid 3rd Neutral 3rd/

Submajor 3rd

Large Neutral 3rd
23 383.333 5/4 vM3 downmajor 3rd Submajor 3rd/

Major 3rd

Small Major 3rd
24 400 44/35 M3 major 3rd Major 3rd Small Major 3rd/

Middle Major 3rd

25 416.667 14/11 ^M3 upmajor 3rd Major 3rd/

Supermajor 3rd

Middle Major third
26 433.333 9/7 ^^M3 double-upmajor 3rd Supermajor 3rd Large Major third
27 450 35/27 ^3M3, v34 triple-up major 3rd,

triple-down 4th

Supermajor 3rd/

Sub 4th

Interseptimal (Maj3-4)
28 466.667 21/16 vv4 double-down 4th Sub 4th Interseptimal (Maj3-4)
29 483.333 33/25 v4 down 4th Sub 4th/

Perfect 4th

Small Perfect 4th
30 500 4/3 P4 perfect 4th Perfect 4th Middle Perfect 4th
31 516.667 27/20 ^4 up 4th Perfect 4th/

Super 4th

Large Perfect 4th
32 533.333 15/11 ^^4 double-up 4th Super 4th/

Narrow Tritone

Super 4th
33 550 11/8 ^34 triple-up 4th Super 4th/

Narrow Tritone

Super 4th
34 566.667 25/18 vvA4 double-down aug 4th Narrow Tritone Small Tritone
35 583.333 7/5 vA4, vd5 downaug 4th, updim 5th Narrow Tritone/

Tritone

Middle Tritone
36 600 99/70 A4, d5 aug 4th, dim 5th Tritone Middle Tritone
37 616.667 10/7 ^A4, ^d5 upaug 4th, downdim 5th Tritone/

Wide Tritone

Middle Tritone
38 633.333 36/25 ^^d5 double-updim 5th Wide Tritone Large Tritone
39 650 16/11 v35 triple-down 5th Wide Tritone/

Sub 5th

Sub 5th
40 666.667 22/15 vv5 double-down 5th Wide Tritone/

Sub 5th

Sub 5th
41 683.333 40/27 v5 down 5th Sub 5th/

Perfect 5th

Small Perfect 5th
42 700 3/2 P5 perfect 5th Perfect 5th Middle Perfect 5th
43 716.667 50/33 ^5 up 5th Perfect 5th/

Super 5th

Large Perfect 5th
44 733.333 32/21 ^^5 double-up 5th Super 5th Interseptimal (5-min6)
45 750 54/35 ^35, v3m6 triple-up 5th,

triple-down minor 6th

Super 5th/

Subminor 6th

Interseptimal (5-min6)
46 766.667 14/9 vvm6 double-downminor 6th Subminor 6th Small Minor 6th
47 783.333 11/7 vm6 downminor 6th Subminor 6th/

Minor 6th

Middle Minor 6th
48 800 35/22 m6 minor 6th Minor 6th Middle Minor 6th/

Large Minor 6th

49 816.667 8/5 ^m6 upminor 6th Minor 6th/

Supraminor 6th

Large Minor 6th
50 833.333 81/50 v~6 downmid 6th Supraminor 6th/

Neutral 6th

Small Neutral 6th
51 850 18/11 ~6 mid 6th Neutral 6th Middle Neutral 6th
52 866.667 33/20 ^~6 upmid 6th Neutral 6th/

Submajor 6th

Large Neutral 6th
53 883.333 5/3 vM6 downmajor 6th Submajor 6th/

Major 6th

Small Major 6th
54 900 27/16 M6 major 6th Major 6th Small Major 6th/

Middle Major 6th

55 916.667 56/33 ^M6 upmajor 6th Major 6th/

Supermajor 6th

Middle Major 6th
56 933.333 12/7 ^^M6 double-upmajor 6th Supermajor 6th Large Major 6th
57 950 121/70 ^3M6, v3m7 triple-up major 6th,

triple-down minor 7th

Supermajor 6th/

Subminor 7th

Interseptimal (Maj6-min7)
58 966.667 7/4 vvm7 double-downminor 7th Subminor 7th Small Minor 7th
59 983.333 44/25 vm7 downminor 7th Subminor 7th/

Minor 7th

Middle Minor 7th
60 1000 16/9 m7 minor 7th Minor 7th Middle Minor 7th/

Large Minor 7th

61 1016.667 9/5 ^m7 upminor 7th Minor 7th/

Supraminor 7th

Large Minor 7th
62 1033.333 20/11 v~7 downmid 7th Supraminor 7th/

Neutral 7th

Small Neutral 7th
63 1050 11/6 ~7 mid 7th Neutral 7th Middle Neutral 7th
64 1066.667 50/27 ^~7 upmin 7th Neutral 7th/

Submajor 7th

Large Neutral 7th
65 1083.333 15/8 vM7 downmajor 7th Submajor 7th/

Major 7th

Small Major 7th
66 1100 66/35 M7 major 7th Major 7th Small Major 7th/

Middle Major 7th

67 1116.667 21/11 ^M7 upmajor 7th Major 7th/

Supermajor 7th

Middle Major 7th
68 1133.333 27/14 ^^M7 double-upmajor 7th Supermajor 7th Large Major 7th
69 1150 35/18 ^3M7, v38 triple-up major 7th,

triple-down octave

Supermajor 7th/

Sub Octave

Octave less dieses
70 1166.667 49/25 vv8 double-down octave Sub Octave Octave less dieses
71 1183.333 99/50 v8 down octave Sub Octave Octave less comma
72 1200 2/1 P8 perfect octave Octave Octave
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