72edo-interval names: Difference between revisions

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Created page with "{| class="wikitable" |- | |degrees | |cents value | |approximate ratios (11-limit) | style="text-align:center;" colspan="2" |ups and downs Ups and..."
 
mNo edit summary
Line 4: Line 4:
| |cents value
| |cents value
| |approximate ratios (11-limit)
| |approximate ratios (11-limit)
| style="text-align:center;" colspan="2" |[[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
|-
|-
Line 87: Line 87:
| style="text-align:center;" |^~2
| style="text-align:center;" |^~2
| style="text-align:center;" |upmid 2nd
| style="text-align:center;" |upmid 2nd
|Submajor 2nd
|Neutral 2nd/
Submajor 2nd
|-
|-
| |11
| |11
Line 94: Line 95:
| style="text-align:center;" |vM2
| style="text-align:center;" |vM2
| style="text-align:center;" |downmajor 2nd
| style="text-align:center;" |downmajor 2nd
|Major 2nd
|Submajor 2nd/
Major 2nd
|-
|-
| |12
| |12
Line 124: Line 126:
| style="text-align:center;" |triple-up major 2nd,
| style="text-align:center;" |triple-up major 2nd,
triple-down minor 3rd
triple-down minor 3rd
|Subminor 3rd
|Supermajor 2nd/
Subminor 3rd
|-
|-
| |16
| |16
Line 131: Line 134:
| style="text-align:center;" |vvm3
| style="text-align:center;" |vvm3
| style="text-align:center;" |double-downminor 3rd
| style="text-align:center;" |double-downminor 3rd
|
|Subminor 3rd
|-
|-
| |17
| |17
Line 138: Line 141:
| style="text-align:center;" |vm3
| style="text-align:center;" |vm3
| style="text-align:center;" |downminor 3rd
| style="text-align:center;" |downminor 3rd
|
|Subminor 3rd/
 
Minor third
|-
|-
| |18
| |18
Line 145: Line 150:
| style="text-align:center;" |m3
| style="text-align:center;" |m3
| style="text-align:center;" |minor 3rd
| style="text-align:center;" |minor 3rd
|
|Minor 3rd
|-
|-
| |19
| |19
Line 152: Line 157:
| style="text-align:center;" |^m3
| style="text-align:center;" |^m3
| style="text-align:center;" |upminor 3rd
| style="text-align:center;" |upminor 3rd
|
|Minor 3rd/
Supraminor 3rd
|-
|-
| |20
| |20
Line 159: Line 165:
| style="text-align:center;" |v~3
| style="text-align:center;" |v~3
| style="text-align:center;" |downmid 3rd
| style="text-align:center;" |downmid 3rd
|
|Supraminor 3rd/
 
Neutral 3rd
|-
|-
| |21
| |21
Line 166: Line 174:
| style="text-align:center;" |~3
| style="text-align:center;" |~3
| style="text-align:center;" |mid 3rd
| style="text-align:center;" |mid 3rd
|
|Neutral 3rd
|-
|-
| |22
| |22
Line 173: Line 181:
| style="text-align:center;" |^~3
| style="text-align:center;" |^~3
| style="text-align:center;" |upmid 3rd
| style="text-align:center;" |upmid 3rd
|
|Neutral 3rd/
 
Submajor 3rd
|-
|-
| |23
| |23
Line 180: Line 190:
| style="text-align:center;" |vM3
| style="text-align:center;" |vM3
| style="text-align:center;" |downmajor 3rd
| style="text-align:center;" |downmajor 3rd
|
|Submajor 3rd/
 
Major 3rd
|-
|-
| |24
| |24
Line 187: Line 199:
| style="text-align:center;" |M3
| style="text-align:center;" |M3
| style="text-align:center;" |major 3rd
| style="text-align:center;" |major 3rd
|
|Major 3rd
|-
|-
| |25
| |25
Line 194: Line 206:
| style="text-align:center;" |^M3
| style="text-align:center;" |^M3
| style="text-align:center;" |upmajor 3rd
| style="text-align:center;" |upmajor 3rd
|
|Major 3rd/
 
Supermajor 3rd
|-
|-
| |26
| |26
Line 201: Line 215:
| style="text-align:center;" |^^M3
| style="text-align:center;" |^^M3
| style="text-align:center;" |double-upmajor 3rd
| style="text-align:center;" |double-upmajor 3rd
|
|Supermajor 3rd
|-
|-
| |27
| |27
Line 209: Line 223:
| style="text-align:center;" |triple-up major 3rd,
| style="text-align:center;" |triple-up major 3rd,
triple-down 4th
triple-down 4th
|
|Supermajor 3rd/
 
Sub 4th
|-
|-
| |28
| |28
Line 216: Line 232:
| style="text-align:center;" |vv4
| style="text-align:center;" |vv4
| style="text-align:center;" |double-down 4th
| style="text-align:center;" |double-down 4th
|
|Sub 4th
|-
|-
| |29
| |29
Line 223: Line 239:
| style="text-align:center;" |v4
| style="text-align:center;" |v4
| style="text-align:center;" |down 4th
| style="text-align:center;" |down 4th
|
|Sub 4th/
 
Perfect 4th
|-
|-
| |30
| |30
Line 230: Line 248:
| style="text-align:center;" |P4
| style="text-align:center;" |P4
| style="text-align:center;" |perfect 4th
| style="text-align:center;" |perfect 4th
|
|Perfect 4th
|-
|-
| |31
| |31
Line 237: Line 255:
| style="text-align:center;" |^4
| style="text-align:center;" |^4
| style="text-align:center;" |up 4th
| style="text-align:center;" |up 4th
|
|Perfect 4th/
 
Super 4th
|-
|-
| |32
| |32
Line 244: Line 264:
| style="text-align:center;" |^^4
| style="text-align:center;" |^^4
| style="text-align:center;" |double-up 4th
| style="text-align:center;" |double-up 4th
|
|Super 4th/
 
Narrow Tritone
|-
|-
| |33
| |33
Line 251: Line 273:
| style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>4
| style="text-align:center;" |^<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>4
| style="text-align:center;" |triple-up 4th
| style="text-align:center;" |triple-up 4th
|
|Super 4th/
 
Narrow Tritone
|-
|-
| |34
| |34
Line 258: Line 282:
| style="text-align:center;" |vvA4
| style="text-align:center;" |vvA4
| style="text-align:center;" |double-down aug 4th
| style="text-align:center;" |double-down aug 4th
|
|Narrow Tritone
|-
|-
| |35
| |35
Line 265: Line 289:
| style="text-align:center;" |vA4, vd5
| style="text-align:center;" |vA4, vd5
| style="text-align:center;" |downaug 4th, updim 5th
| style="text-align:center;" |downaug 4th, updim 5th
|
|Narrow Tritone/
Tritone
|-
|-
| |36
| |36
Line 272: Line 297:
| style="text-align:center;" |A4, d5
| style="text-align:center;" |A4, d5
| style="text-align:center;" |aug 4th, dim 5th
| style="text-align:center;" |aug 4th, dim 5th
|
|Tritone
|-
|-
| |37
| |37
Line 279: Line 304:
| style="text-align:center;" |^A4, ^d5
| style="text-align:center;" |^A4, ^d5
| style="text-align:center;" |upaug 4th, downdim 5th
| style="text-align:center;" |upaug 4th, downdim 5th
|
|Tritone/
 
Wide Tritone
|-
|-
| |38
| |38
Line 286: Line 313:
| style="text-align:center;" |^^d5
| style="text-align:center;" |^^d5
| style="text-align:center;" |double-updim 5th
| style="text-align:center;" |double-updim 5th
|
|Wide Tritone
|-
|-
| |39
| |39
Line 293: Line 320:
| style="text-align:center;" |v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>5
| style="text-align:center;" |v<sup><span style="font-size: 90%; vertical-align: super;"><font size="3">3</font></span></sup>5
| style="text-align:center;" |triple-down 5th
| style="text-align:center;" |triple-down 5th
|
|Wide Tritone/
 
Sub 5th
|-
|-
| |40
| |40
Line 300: Line 329:
| style="text-align:center;" |vv5
| style="text-align:center;" |vv5
| style="text-align:center;" |double-down 5th
| style="text-align:center;" |double-down 5th
|
|Wide Tritone/
 
Sub 5th
|-
|-
| |41
| |41
Line 307: Line 338:
| style="text-align:center;" |v5
| style="text-align:center;" |v5
| style="text-align:center;" |down 5th
| style="text-align:center;" |down 5th
|
|Sub 5th/
 
Perfect 5th
|-
|-
| |42
| |42
Line 314: Line 347:
| style="text-align:center;" |P5
| style="text-align:center;" |P5
| style="text-align:center;" |perfect 5th
| style="text-align:center;" |perfect 5th
|
|Perfect 5th
|-
|-
| |43
| |43
Line 321: Line 354:
| style="text-align:center;" |^5
| style="text-align:center;" |^5
| style="text-align:center;" |up 5th
| style="text-align:center;" |up 5th
|
|Perfect 5th/
Super 5th
|-
|-
| |44
| |44
Line 328: Line 362:
| style="text-align:center;" |^^5
| style="text-align:center;" |^^5
| style="text-align:center;" |double-up 5th
| style="text-align:center;" |double-up 5th
|
|Super 5th
|-
|-
| |45
| |45
Line 336: Line 370:
| style="text-align:center;" |triple-up 5th,
| style="text-align:center;" |triple-up 5th,
triple-down minor 6th
triple-down minor 6th
|
|Super 5th/
 
Subminor 6th
|-
|-
| |46
| |46
Line 343: Line 379:
| style="text-align:center;" |vvm6
| style="text-align:center;" |vvm6
| style="text-align:center;" |double-downminor 6th
| style="text-align:center;" |double-downminor 6th
|
|Subminor 6th
|-
|-
| |47
| |47
Line 350: Line 386:
| style="text-align:center;" |vm6
| style="text-align:center;" |vm6
| style="text-align:center;" |downminor 6th
| style="text-align:center;" |downminor 6th
|
|Subminor 6th/
 
Minor 6th
|-
|-
| |48
| |48
Line 357: Line 395:
| style="text-align:center;" |m6
| style="text-align:center;" |m6
| style="text-align:center;" |minor 6th
| style="text-align:center;" |minor 6th
|
|Minor 6th
|-
|-
| |49
| |49
Line 364: Line 402:
| style="text-align:center;" |^m6
| style="text-align:center;" |^m6
| style="text-align:center;" |upminor 6th
| style="text-align:center;" |upminor 6th
|
|Minor 6th/
Supraminor 6th
|-
|-
| |50
| |50
Line 371: Line 410:
| style="text-align:center;" |v~6
| style="text-align:center;" |v~6
| style="text-align:center;" |downmid 6th
| style="text-align:center;" |downmid 6th
|
|Supraminor 6th/
Neutral 6th
|-
|-
| |51
| |51
Line 378: Line 418:
| style="text-align:center;" |~6
| style="text-align:center;" |~6
| style="text-align:center;" |mid 6th
| style="text-align:center;" |mid 6th
|
|Neutral 6th
|-
|-
| |52
| |52
Line 385: Line 425:
| style="text-align:center;" |^~6
| style="text-align:center;" |^~6
| style="text-align:center;" |upmid 6th
| style="text-align:center;" |upmid 6th
|
|Neutral 6th/
 
Submajor 6th
|-
|-
| |53
| |53
Line 392: Line 434:
| style="text-align:center;" |vM6
| style="text-align:center;" |vM6
| style="text-align:center;" |downmajor 6th
| style="text-align:center;" |downmajor 6th
|
|Submajor 6th/
 
Major 6th
|-
|-
| |54
| |54
Line 399: Line 443:
| style="text-align:center;" |M6
| style="text-align:center;" |M6
| style="text-align:center;" |major 6th
| style="text-align:center;" |major 6th
|
|Major 6th
|-
|-
| |55
| |55
Line 406: Line 450:
| style="text-align:center;" |^M6
| style="text-align:center;" |^M6
| style="text-align:center;" |upmajor 6th
| style="text-align:center;" |upmajor 6th
|
|Major 6th/
Supermajor 6th
|-
|-
| |56
| |56
Line 413: Line 458:
| style="text-align:center;" |^^M6
| style="text-align:center;" |^^M6
| style="text-align:center;" |double-upmajor 6th
| style="text-align:center;" |double-upmajor 6th
|
|Supermajor 6th
|-
|-
| |57
| |57
Line 421: Line 466:
| style="text-align:center;" |triple-up major 6th,
| style="text-align:center;" |triple-up major 6th,
triple-down minor 7th
triple-down minor 7th
|
|Supermajor 6th/
Subminor 7th
|-
|-
| |58
| |58
Line 428: Line 474:
| style="text-align:center;" |vvm7
| style="text-align:center;" |vvm7
| style="text-align:center;" |double-downminor 7th
| style="text-align:center;" |double-downminor 7th
|
|Subminor 7th
|-
|-
| |59
| |59
Line 435: Line 481:
| style="text-align:center;" |vm7
| style="text-align:center;" |vm7
| style="text-align:center;" |downminor 7th
| style="text-align:center;" |downminor 7th
|
|Subminor 7th/
Minor 7th
|-
|-
| |60
| |60
Line 442: Line 489:
| style="text-align:center;" |m7
| style="text-align:center;" |m7
| style="text-align:center;" |minor 7th
| style="text-align:center;" |minor 7th
|
|Minor 7th
|-
|-
| |61
| |61
Line 449: Line 496:
| style="text-align:center;" |^m7
| style="text-align:center;" |^m7
| style="text-align:center;" |upminor 7th
| style="text-align:center;" |upminor 7th
|
|Minor 7th/
Supraminor 7th
|-
|-
| |62
| |62
Line 456: Line 504:
| style="text-align:center;" |v~7
| style="text-align:center;" |v~7
| style="text-align:center;" |downmid 7th
| style="text-align:center;" |downmid 7th
|
|Supraminor 7th/
Neutral 7th
|-
|-
| |63
| |63
Line 463: Line 512:
| style="text-align:center;" |~7
| style="text-align:center;" |~7
| style="text-align:center;" |mid 7th
| style="text-align:center;" |mid 7th
|
|Neutral 7th
|-
|-
| |64
| |64
Line 470: Line 519:
| style="text-align:center;" |^~7
| style="text-align:center;" |^~7
| style="text-align:center;" |upmin 7th
| style="text-align:center;" |upmin 7th
|
|Neutral 7th/
Submajor 7th
|-
|-
| |65
| |65
Line 477: Line 527:
| style="text-align:center;" |vM7
| style="text-align:center;" |vM7
| style="text-align:center;" |downmajor 7th
| style="text-align:center;" |downmajor 7th
|
|Submajor 7th/
Major 7th
|-
|-
| |66
| |66
Line 484: Line 535:
| style="text-align:center;" |M7
| style="text-align:center;" |M7
| style="text-align:center;" |major 7th
| style="text-align:center;" |major 7th
|
|Major 7th
|-
|-
| |67
| |67
Line 491: Line 542:
| style="text-align:center;" |^M7
| style="text-align:center;" |^M7
| style="text-align:center;" |upmajor 7th
| style="text-align:center;" |upmajor 7th
|
|Major 7th/
Supermajor 7th
|-
|-
| |68
| |68
Line 498: Line 550:
| style="text-align:center;" |^^M7
| style="text-align:center;" |^^M7
| style="text-align:center;" |double-upmajor 7th
| style="text-align:center;" |double-upmajor 7th
|
|Supermajor 7th
|-
|-
| |69
| |69
Line 506: Line 558:
| style="text-align:center;" |triple-up major 7th,
| style="text-align:center;" |triple-up major 7th,
triple-down octave
triple-down octave
|
|Supermajor 7th/
Sub Octave
|-
|-
| |70
| |70
Line 513: Line 566:
| style="text-align:center;" |vv8
| style="text-align:center;" |vv8
| style="text-align:center;" |double-down octave
| style="text-align:center;" |double-down octave
|
|Sub Octave
|-
|-
| |71
| |71
Line 520: Line 573:
| style="text-align:center;" |v8
| style="text-align:center;" |v8
| style="text-align:center;" |down octave
| style="text-align:center;" |down octave
|
|Sub Octave
|-
|-
| |72
| |72
Line 527: Line 580:
| style="text-align:center;" |P8
| style="text-align:center;" |P8
| style="text-align:center;" |perfect octave
| style="text-align:center;" |perfect octave
|
|Octave
|}
|}

Revision as of 13:16, 28 September 2018

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

triple-down minor 2nd

Super Unison/

Subminor 2nd

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

Minor 2nd

6 100 35/33 m2 minor 2nd Minor 2nd
7 116.667 15/14 ^m2 upminor 2nd Minor 2nd/

Supraminor 2nd

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

Neutral 2nd

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

Submajor 2nd

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

Major 2nd

12 200 9/8 M2 major 2nd Major 2nd
13 216.667 25/22 ^M2 upmajor 2nd Major 2nd/

Supermajor 2nd

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

triple-down minor 3rd

Supermajor 2nd/

Subminor 3rd

16 266.667 7/6 vvm3 double-downminor 3rd Subminor 3rd
17 283.333 33/28 vm3 downminor 3rd Subminor 3rd/

Minor third

18 300 25/21 m3 minor 3rd Minor 3rd
19 316.667 6/5 ^m3 upminor 3rd Minor 3rd/

Supraminor 3rd

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

Neutral 3rd

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

Submajor 3rd

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

Major 3rd

24 400 44/35 M3 major 3rd Major 3rd
25 416.667 14/11 ^M3 upmajor 3rd Major 3rd/

Supermajor 3rd

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

triple-down 4th

Supermajor 3rd/

Sub 4th

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

Perfect 4th

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

Super 4th

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

Narrow Tritone

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

Narrow Tritone

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

Tritone

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

Wide Tritone

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

Sub 5th

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

Sub 5th

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

Perfect 5th

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

Super 5th

44 733.333 32/21 ^^5 double-up 5th Super 5th
45 750 54/35 ^35, v3m6 triple-up 5th,

triple-down minor 6th

Super 5th/

Subminor 6th

46 766.667 14/9 vvm6 double-downminor 6th Subminor 6th
47 783.333 11/7 vm6 downminor 6th Subminor 6th/

Minor 6th

48 800 35/22 m6 minor 6th Minor 6th
49 816.667 8/5 ^m6 upminor 6th Minor 6th/

Supraminor 6th

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

Neutral 6th

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

Submajor 6th

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

Major 6th

54 900 27/16 M6 major 6th Major 6th
55 916.667 56/33 ^M6 upmajor 6th Major 6th/

Supermajor 6th

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

triple-down minor 7th

Supermajor 6th/

Subminor 7th

58 966.667 7/4 vvm7 double-downminor 7th Subminor 7th
59 983.333 44/25 vm7 downminor 7th Subminor 7th/

Minor 7th

60 1000 16/9 m7 minor 7th Minor 7th
61 1016.667 9/5 ^m7 upminor 7th Minor 7th/

Supraminor 7th

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

Neutral 7th

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

Submajor 7th

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

Major 7th

66 1100 66/35 M7 major 7th Major 7th
67 1116.667 21/11 ^M7 upmajor 7th Major 7th/

Supermajor 7th

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

triple-down octave

Supermajor 7th/

Sub Octave

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