15edo/Interval names: Difference between revisions

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! [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]]
! [[User:PiotrGrochowski/Ups and Downs Notation-a|ups and downs]]
! Gareth's Go
! [[User:Gareth.hearne/Extra-Diatonic Intervals|Gareth's Go]]
!Extra-diatonic 2
! ratios
! ratios
|-
|-
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| P1, m2
| P1, m2
| P1
| P1
|P1
| [[1/1]]
| [[1/1]]
|-
|-
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| pai-P1
| pai-P1
| ^1, ^m2
| ^1, ^m2
| m2
| S1/Sm2
|S1
| [[25/24]], [[21/20]], [[16/15]]
| [[25/24]], [[21/20]], [[16/15]]
|-
|-
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| pao-M2
| pao-M2
| vM2
| vM2
| M2
| sM2
|sM2
| [[11/10]], [[12/11]], [[10/9]]
| [[11/10]], [[12/11]], [[10/9]]
|-
|-
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| M2
| M2
| M2, m3
| M2, m3
| Serd*
| M2/m3
|M2, m3 (Serd)
| [[8/7]], [[7/6]], [[9/8]]
| [[8/7]], [[7/6]], [[9/8]]
|-
|-
Line 83: Line 78:
| pai-m3
| pai-m3
| ^m3
| ^m3
| m3
|Sm3
|Sm3
| [[6/5]], [[11/9]]
| [[6/5]], [[11/9]]
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| pao-M3
| pao-M3
| vM3
| vM3
| M3
|sM3
|sM3
| [[5/4]], [[14/11]]
| [[5/4]], [[14/11]]
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| M3, P4, d5
| M3, P4, d5
| P4
| P4
|M3, P4 (Thourth)
| [[4/3]], [[9/7]], [[21/16]]
| [[4/3]], [[9/7]], [[21/16]]
|-
|-
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| pai-P4
| pai-P4
| ^4, ^d5
| ^4, ^d5
| A4
|S4
|S4
| [[11/8]], [[7/5]]
| [[11/8]], [[7/5]]
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| pao-P5
| pao-P5
| vA4, v5
| vA4, v5
| d5
|s5
|s5
| [[16/11]], [[10/7]]
| [[16/11]], [[10/7]]
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| A4, P5, m6
| A4, P5, m6
| P5
| P5
|P5, m6 (Fixth)
| [[3/2]], [[14/9]], [[32/21]]
| [[3/2]], [[14/9]], [[32/21]]
|-
|-
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| pai-m6
| pai-m6
| ^5, ^m6
| ^5, ^m6
| m6
|Sm6
|Sm6
| [[8/5]], [[11/7]]
| [[8/5]], [[11/7]]
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| pao-M6
| pao-M6
| vA5, vM6
| vA5, vM6
| M6
|sM6
|sM6
| [[5/3]], [[18/11]]
| [[5/3]], [[18/11]]
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| m7
| m7
| M6, m7
| M6, m7
| Sinth*
|M6/m7
|M6, m7 (Sinth)
| [[7/4]], [[12/7]], [[16/9]]
| [[7/4]], [[12/7]], [[16/9]]
|-
|-
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| pai-m7
| pai-m7
| ^m7
| ^m7
| m7
|Sm7
|Sm7
| [[20/11]], [[11/6]], [[9/5]]
| [[20/11]], [[11/6]], [[9/5]]
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| pao-P8
| pao-P8
| vM7, v8
| vM7, v8
| M7
|sM7/s8
|sM7
| [[48/25]], [[40/21]], [[15/8]]
| [[48/25]], [[40/21]], [[15/8]]
|-
|-
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| M7, P8
| M7, P8
| P8
| P8
|P8
| [[2/1]]
| [[2/1]]
|}
|}
<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.
I've done this for [[72edo-interval names|72edo]] as well.<sup> [author: Gareth.hearne ([[User_talk:Gareth.hearne|talk]])]</sup>
<br>and Piotr did it for [[43edo-interval names|43edo]]