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m Text replacement - "Ups and Downs Notation" to "Ups and downs notation"
 
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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]]
! Kite's Correction
! [http://dkeenan.com/Music/EdoIntervalNames.pdf Keenan Category]
! [http://dkeenan.com/Music/EdoIntervalNames.pdf Keenan Category]
! [http://www.bestii.com/~mschulter/IntervalSpectrumRegions.txt Margo's Method]
! [http://www.bestii.com/~mschulter/IntervalSpectrumRegions.txt Margo's Method]
! [[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]
! [[User:PiotrGrochowski/Ups and Downs Notation-a|ups and downs]]
! [[Ups and downs notation|Ups and Downs]]
! Gareth's Go
! [[SKULO interval names|Lilly's List]]
!Extra-diatonic 2
! Ordway's Order
! ratios
! Ratios
|-
|-
| 0
| 0
| 0
| 0
| unison
| P1
| P1
| Unison
| Unison
| Unison
| P1
| P1
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| P1, m2
| P1, m2
| P1
| P1
|P1
| P1
| [[1/1]]
| [[1/1]]
|-
|-
| 1
| 1
| 80
| 80
| semitone
| m2
| m2
| Subminor 2nd
| Subminor 2nd
| Subminor 2nd
| mi2
| m2
| Minor 2nd
| Minor 2nd
| augmented unison
| augmented unison
| pai-P1
| pai-P1
| ^1, ^m2
| ^1, ^m2
| K1
| m2
| m2
|S1
| [[25/24]], [[21/20]], [[16/15]], [[22/21]]
| [[25/24]], [[21/20]], [[16/15]]
|-
|-
| 2
| 2
| 160
| 160
| minor tone
| NM2 (Narrow M2)
| NM2 (Narrow M2)
| Neutral 2nd
| Neutral 2nd
| Neutral 2nd
| Mi2
| M2
| Large Neutral 2nd
| Large Neutral 2nd
| high neutral second
| high neutral second
| pao-M2
| pao-M2
| vM2
| vM2
| kM2
| M2
| M2
|sM2
| [[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
| Supermajor 2nd
| Ai2/di3
| A2/d3
| Large Major 2nd
| Large Major 2nd
| second–third
| second–third
| M2
| M2
| M2, m3
| M2, m3
| Serd*
| SM2/sm3
|M2, m3 (Serd)
| 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
| Minor 3rd
| mi3
| m3
| Large Minor 3rd
| Large Minor 3rd
| minor third
| minor third
| pai-m3
| pai-m3
| ^m3
| ^m3
| Km3
| m3
| m3
|Sm3
| [[6/5]], [[11/9]]
| [[6/5]], [[11/9]]
|-
|-
| 5
| 5
| 400
| 400
| major third
| M3
| M3
| Major 3rd
| Major 3rd
| Major 3rd
| Mi3
| M3
| Major 3rd
| Major 3rd
| major third
| major third
| pao-M3
| pao-M3
| vM3
| vM3
| kM3
| M3
| M3
|sM3
| [[5/4]], [[14/11]]
| [[5/4]], [[14/11]]
|-
|-
| 6
| 6
| 480
| 480
| perfect fourth
| S4 (Small 4)
| S4 (Small 4)
| Sub 4th
| Sub 4th
| Sub 4th
| P4
| P4
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| P4
| P4
| M3, P4, d5
| M3, P4, d5
| SM3/s4
| P4
| P4
|M3, P4 (Thourth)
| [[4/3]], [[9/7]], [[21/16]]
| [[4/3]], [[9/7]], [[21/16]]
|-
|-
| 7
| 7
| 560
| 560
| wolf fourth, diminished fifth, narrow tritone
| Na4/Sd5
| Na4/Sd5
| Narrow Tritone
| Narrow Tritone
| Super 4th
| Ai4
| A4
| Small Tritone
| Small Tritone
| low augmented fourth
| low augmented fourth
| pai-P4
| pai-P4
| ^4, ^d5
| ^4, ^d5
| A4
| K4
|S4
| 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
| Sub 5th
| di5
| d5
| Large Tritone
| Large Tritone
| high diminished fifth
| high diminished fifth
| pao-P5
| pao-P5
| vA4, v5
| vA4, v5
| d5
| k5
|s5
| M5
| [[16/11]], [[10/7]]
| [[16/11]], [[10/7]]
|-
|-
| 9
| 9
| 720
| 720
| perfect fifth
| L5
| L5
| Super 5th
| Super 5th
| Super 5th
| P5
| P5
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| P5
| P5
| A4, P5, m6
| A4, P5, m6
| S5/sm6
| P5
| P5
|P5, m6 (Fixth)
| [[3/2]], [[14/9]], [[32/21]]
| [[3/2]], [[14/9]], [[32/21]]
|-
|-
| 10
| 10
| 800
| 800
| minor sixth
| m6
| m6
| Minor 6th
| Minor 6th
| Minor 6th
| mi6
| m6
| Minor 6th
| Minor 6th
| minor sixth
| minor sixth
| pai-m6
| pai-m6
| ^5, ^m6
| ^5, ^m6
| Km6
| m6
| m6
|Sm6
| [[8/5]], [[11/7]]
| [[8/5]], [[11/7]]
|-
|-
| 11
| 11
| 880
| 880
| major sixth
| SM6
| SM6
| Major 6th
| Major 6th
| Major 6th
| Mi6
| M6
| Small Major 6th
| Small Major 6th
| major sixth
| major sixth
| pao-M6
| pao-M6
| vA5, vM6
| vA5, vM6
| kM6
| M6
| M6
|sM6
| [[5/3]], [[18/11]]
| [[5/3]], [[18/11]]
|-
|-
| 12
| 12
| 960
| 960
| harmonic seventh, wolf sixth
| SM7
| SM7
| Subminor 7th
| Subminor 7th
| Subminor 7th
| Ai6/di7
| A6/d7
| Small Minor 7th
| Small Minor 7th
| sixth–seventh
| sixth–seventh
| m7
| m7
| M6, m7
| M6, m7
| Sinth*
| SM6/sm7
|M6, m7 (Sinth)
| 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
| Neutral 7th
| mi7
| m7
| Small Neutral 7th
| Small Neutral 7th
| low neutral seventh
| low neutral seventh
| pai-m7
| pai-m7
| ^m7
| ^m7
| Km7
| m7
| m7
|Sm7
| [[20/11]], [[11/6]], [[9/5]]
| [[20/11]], [[11/6]], [[9/5]]
|-
|-
| 14
| 14
| 1120
| 1120
| major seventh
| M7
| M7
| Supermajor 7th
| Supermajor 7th
| Supermajor 7th
| Mi7
| M7
| Major 7th
| Major 7th
| diminished octave
| diminished octave
| pao-P8
| pao-P8
| vM7, v8
| vM7, v8
| kM7
| M7
| M7
|sM7
| [[48/25]], [[40/21]], [[15/8]], [[21/11]]
| [[48/25]], [[40/21]], [[15/8]]
|-
|-
| 15
| 15
| 1200
| 1200
| octave
| P8
| P8
| Octave
| Octave
| Octave
| P8
| P8
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| M7, P8
| M7, P8
| P8
| P8
|P8
| P8
| [[2/1]]
| [[2/1]]
<includeonly>
{{Navbar table|cols=12|15edo-interval_names}}
</includeonly>
|}
|}
 
<noinclude>
<nowiki>*</nowiki>'Serd' and 'Sinth' are Portmanteaux of Second and Third; and Sixth and Seventh respectively. These intervals represent exact half Perfect 4ths and Perfect 5ths, and replace the "regular" interval name. I have put them in there to gain functionality at the cost of losing familiarity/introducing novelty in addition to 'HO', the half-octave. My (Gareth's) system at this stage is the same as Dave Keenan's but for the addition of these. I suppose they could just be optional additional names for those steps. I was led to this after not finding any reason to change Dave's system, but not liking that it led to A2/d3 for the 240c interval in 5n-edos, and A6/d7 for the 960c interval. Seems weird.
[[Category:15edo]]
 
[[Category:Tables]]
I've done this for [[72edo-interval names|72edo]] as well.<sup> [author: Gareth.hearne ([[User_talk:Gareth.hearne|talk]])]</sup>
[[Category:Interval naming]]
<br>and Piotr did it for [[43edo-interval names|43edo]]
</noinclude>
Retrieved from "https://en.xen.wiki/w/15edo/Interval_names"