15edo/Interval names: Difference between revisions

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<big>If you haven't made an interval naming system yet, make one and add a column when you finish your notation system!</big>
<noinclude>{{breadcrumb}}
<!-- seriously MediaWiki, no <blink> or <marquee> tag?! -->
<span style="font-size: 115%;">If you haven't made an interval naming system yet, make one and add a column when you finish your notation system!</span></noinclude>


{| class="wikitable"
{| class="wikitable"
! steps
|-
! cents
! Steps
! Cents
! Vector's interval names
! [http://musictheory.zentral.zone/huntsystem4.html Aaron's Answer]
! [http://musictheory.zentral.zone/huntsystem4.html Aaron's Answer]
! [[Extra-Diatonic Intervals|Igs' Input]]
! [[Extra-Diatonic Intervals|Igs' Input]]
Line 11: Line 13:
! [[User:PiotrGrochowski/Extra-Diatonic Intervals|Piotr Grochowski]]
! [[User:PiotrGrochowski/Extra-Diatonic Intervals|Piotr Grochowski]]
! [http://forum.sagittal.org/viewforum.php?f=9 SagiSpeak]
! [http://forum.sagittal.org/viewforum.php?f=9 SagiSpeak]
! [[Ups and Downs Notation|Ups and Downs]]
! [[Ups and downs notation|Ups and Downs]]
! [[Extended-diatonic interval names|Lilly's List]]
! [[SKULO interval names|Lilly's List]]
! ratios
! Ordway's Order
! Ratios
|-
|-
| 0
| 0
| 0
| 0
| unison
| P1
| P1
| Unison
| Unison
Line 24: Line 28:
| P1
| P1
| P1, m2
| P1, m2
| P1
| P1
| P1
| [[1/1]]
| [[1/1]]
Line 29: Line 34:
| 1
| 1
| 80
| 80
| semitone
| m2
| m2
| Subminor 2nd
| Subminor 2nd
Line 36: Line 42:
| pai-P1
| pai-P1
| ^1, ^m2
| ^1, ^m2
| S1/Sm2
| K1
| [[25/24]], [[21/20]], [[16/15]]
| m2
| [[25/24]], [[21/20]], [[16/15]], [[22/21]]
|-
|-
| 2
| 2
| 160
| 160
| minor tone
| NM2 (Narrow M2)
| NM2 (Narrow M2)
| Neutral 2nd
| Neutral 2nd
Line 48: Line 56:
| pao-M2
| pao-M2
| vM2
| vM2
| sM2
| kM2
| M2
| [[11/10]], [[12/11]], [[10/9]]
| [[11/10]], [[12/11]], [[10/9]]
|-
|-
| 3
| 3
| 240
| 240
| major tone, wolf third
| LM2
| LM2
| Supermajor 2nd
| Supermajor 2nd
Line 60: Line 70:
| M2
| M2
| M2, m3
| M2, m3
| M2/m3
| SM2/sm3
| S2/s3
| [[8/7]], [[7/6]], [[9/8]]
| [[8/7]], [[7/6]], [[9/8]]
|-
|-
| 4
| 4
| 320
| 320
| minor third
| Lm3
| Lm3
| Minor 3rd
| Minor 3rd
Line 72: Line 84:
| pai-m3
| pai-m3
| ^m3
| ^m3
|Sm3
| Km3
| m3
| [[6/5]], [[11/9]]
| [[6/5]], [[11/9]]
|-
|-
| 5
| 5
| 400
| 400
| major third
| M3
| M3
| Major 3rd
| Major 3rd
Line 84: Line 98:
| pao-M3
| pao-M3
| vM3
| vM3
|sM3
| kM3
| M3
| [[5/4]], [[14/11]]
| [[5/4]], [[14/11]]
|-
|-
| 6
| 6
| 480
| 480
| perfect fourth
| S4 (Small 4)
| S4 (Small 4)
| Sub 4th
| Sub 4th
Line 96: Line 112:
| P4
| P4
| M3, P4, d5
| M3, P4, d5
| SM3/s4
| P4
| P4
| [[4/3]], [[9/7]], [[21/16]]
| [[4/3]], [[9/7]], [[21/16]]
Line 101: Line 118:
| 7
| 7
| 560
| 560
| wolf fourth, diminished fifth, narrow tritone
| Na4/Sd5
| Na4/Sd5
| Narrow Tritone
| Narrow Tritone
Line 108: Line 126:
| pai-P4
| pai-P4
| ^4, ^d5
| ^4, ^d5
|S4
| K4
| m4
| [[11/8]], [[7/5]]
| [[11/8]], [[7/5]]
|-
|-
| 8
| 8
| 640
| 640
| wolf fifth, augmented fourth, wide tritone
| La4/Wd5
| La4/Wd5
| Wide Tritone
| Wide Tritone
Line 120: Line 140:
| pao-P5
| pao-P5
| vA4, v5
| vA4, v5
|s5
| k5
| M5
| [[16/11]], [[10/7]]
| [[16/11]], [[10/7]]
|-
|-
| 9
| 9
| 720
| 720
| perfect fifth
| L5
| L5
| Super 5th
| Super 5th
Line 132: Line 154:
| P5
| P5
| A4, P5, m6
| A4, P5, m6
| S5/sm6
| P5
| P5
| [[3/2]], [[14/9]], [[32/21]]
| [[3/2]], [[14/9]], [[32/21]]
Line 137: Line 160:
| 10
| 10
| 800
| 800
| minor sixth
| m6
| m6
| Minor 6th
| Minor 6th
Line 144: Line 168:
| pai-m6
| pai-m6
| ^5, ^m6
| ^5, ^m6
|Sm6
| Km6
| m6
| [[8/5]], [[11/7]]
| [[8/5]], [[11/7]]
|-
|-
| 11
| 11
| 880
| 880
| major sixth
| SM6
| SM6
| Major 6th
| Major 6th
Line 156: Line 182:
| pao-M6
| pao-M6
| vA5, vM6
| vA5, vM6
|sM6
| kM6
| M6
| [[5/3]], [[18/11]]
| [[5/3]], [[18/11]]
|-
|-
| 12
| 12
| 960
| 960
| harmonic seventh, wolf sixth
| SM7
| SM7
| Subminor 7th
| Subminor 7th
Line 168: Line 196:
| m7
| m7
| M6, m7
| M6, m7
|M6/m7
| SM6/sm7
| S6/s7
| [[7/4]], [[12/7]], [[16/9]]
| [[7/4]], [[12/7]], [[16/9]]
|-
|-
| 13
| 13
| 1040
| 1040
| minor seventh
| Wm7
| Wm7
| Neutral 7th
| Neutral 7th
Line 180: Line 210:
| pai-m7
| pai-m7
| ^m7
| ^m7
|Sm7
| Km7
| m7
| [[20/11]], [[11/6]], [[9/5]]
| [[20/11]], [[11/6]], [[9/5]]
|-
|-
| 14
| 14
| 1120
| 1120
| major seventh
| M7
| M7
| Supermajor 7th
| Supermajor 7th
Line 192: Line 224:
| pao-P8
| pao-P8
| vM7, v8
| vM7, v8
|sM7/s8
| kM7
| [[48/25]], [[40/21]], [[15/8]]
| M7
| [[48/25]], [[40/21]], [[15/8]], [[21/11]]
|-
|-
| 15
| 15
| 1200
| 1200
| octave
| P8
| P8
| Octave
| Octave
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| P8
| P8
| M7, P8
| M7, P8
| P8
| P8
| P8
| [[2/1]]
| [[2/1]]
<includeonly>
{{Navbar table|cols=12|15edo-interval_names}}
</includeonly>
|}
|}
<noinclude>
[[Category:15edo]]
[[Category:Tables]]
[[Category:Interval naming]]
</noinclude>

Latest revision as of 01:07, 20 August 2025

< 15edo

If you haven't made an interval naming system yet, make one and add a column when you finish your notation system!

Steps Cents Vector's interval names Aaron's Answer Igs' Input Keenan Category Margo's Method Piotr Grochowski SagiSpeak Ups and Downs Lilly's List Ordway's Order Ratios
0 0 unison P1 Unison P1 Unison unison P1 P1, m2 P1 P1 1/1
1 80 semitone m2 Subminor 2nd mi2 Minor 2nd augmented unison pai-P1 ^1, ^m2 K1 m2 25/24, 21/20, 16/15, 22/21
2 160 minor tone NM2 (Narrow M2) Neutral 2nd Mi2 Large Neutral 2nd high neutral second pao-M2 vM2 kM2 M2 11/10, 12/11, 10/9
3 240 major tone, wolf third LM2 Supermajor 2nd Ai2/di3 Large Major 2nd second–third M2 M2, m3 SM2/sm3 S2/s3 8/7, 7/6, 9/8
4 320 minor third Lm3 Minor 3rd mi3 Large Minor 3rd minor third pai-m3 ^m3 Km3 m3 6/5, 11/9
5 400 major third M3 Major 3rd Mi3 Major 3rd major third pao-M3 vM3 kM3 M3 5/4, 14/11
6 480 perfect fourth S4 (Small 4) Sub 4th P4 Small Perfect 4th low fourth P4 M3, P4, d5 SM3/s4 P4 4/3, 9/7, 21/16
7 560 wolf fourth, diminished fifth, narrow tritone Na4/Sd5 Narrow Tritone Ai4 Small Tritone low augmented fourth pai-P4 ^4, ^d5 K4 m4 11/8, 7/5
8 640 wolf fifth, augmented fourth, wide tritone La4/Wd5 Wide Tritone di5 Large Tritone high diminished fifth pao-P5 vA4, v5 k5 M5 16/11, 10/7
9 720 perfect fifth L5 Super 5th P5 Large Perfect 5th high fifth P5 A4, P5, m6 S5/sm6 P5 3/2, 14/9, 32/21
10 800 minor sixth m6 Minor 6th mi6 Minor 6th minor sixth pai-m6 ^5, ^m6 Km6 m6 8/5, 11/7
11 880 major sixth SM6 Major 6th Mi6 Small Major 6th major sixth pao-M6 vA5, vM6 kM6 M6 5/3, 18/11
12 960 harmonic seventh, wolf sixth SM7 Subminor 7th Ai6/di7 Small Minor 7th sixth–seventh m7 M6, m7 SM6/sm7 S6/s7 7/4, 12/7, 16/9
13 1040 minor seventh Wm7 Neutral 7th mi7 Small Neutral 7th low neutral seventh pai-m7 ^m7 Km7 m7 20/11, 11/6, 9/5
14 1120 major seventh M7 Supermajor 7th Mi7 Major 7th diminished octave pao-P8 vM7, v8 kM7 M7 48/25, 40/21, 15/8, 21/11
15 1200 octave P8 Octave P8 Octave octave P8 M7, P8 P8 P8 2/1
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