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=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|35}}
{{Harmonics in equal|35}}
== Intervals ==
(Bolded ratio indicates that the ratio is most accurately tuned by the given 35edo interval.)
{| class="wikitable"
|-
! Degrees
! Cents value
! Ratios in 2.5.7.11.17 subgroup
! Ratios with flat 3
! Ratios with sharp 3
! Ratios with best 9
|-
| 0
| 0.000
| '''1/1'''
| (see comma table)
|
|
|-
| 1
| 34.286
| '''50/49''', '''121/119''', 33/32
| '''36/35'''
| 25/24
| '''81/80'''
|-
| 2
| 68.571
| 128/125
| '''25/24'''
| 81/80
|
|-
| 3
| 102.857
| '''17/16'''
| '''15/14'''
| '''16/15'''
| '''18/17'''
|-
| 4
| 137.143
|
| '''12/11''', 16/15
|
|
|-
| 5
| 171.429
| '''11/10'''
|
| 12/11
| '''10/9'''
|-
| 6
| 205.714
|
|
|
| '''9/8'''
|-
| 7
| 240
| '''8/7'''
|
| 7/6
|
|-
| 8
| 274.286
| '''20/17'''
| '''7/6'''
|
|
|-
| 9
| 308.571
|
| '''6/5'''
|
|
|-
| 10
|342.857
| '''17/14'''
|
| 6/5
| '''11/9'''
|-
| 11
| 377.143
| '''5/4'''
|
|
|
|-
| 12
| 411.429
| '''14/11'''
|
|
|
|-
| 13
| 445.714
| '''22/17''', 32/25
|
|
| '''9/7'''
|-
| 14
| 480
|
|
| 4/3, '''21/16'''
|
|-
| 15
|514.286
|
| '''4/3'''
|
|
|-
| 16
| 548.571
| '''11/8'''
|
|
|
|-
| 17
| 582.857
| '''7/5'''
| '''24/17'''
| 17/12
|
|-
| 18
| 617.143
| '''10/7'''
| '''17/12'''
| 24/17
|
|-
| 19
| 651.429
| '''16/11'''
|
|
|
|-
| 20
|685.714
|
| '''3/2'''
|
|
|-
| 21
| 720
|
|
| 3/2, '''32/21'''
|
|-
| 22
| 754.286
| '''17/11''', 25/16
|
|
| '''14/9'''
|-
| 23
| 788.571
| '''11/7'''
|
|
|
|-
| 24
| 822.857
| '''8/5'''
|
|
|
|-
| 25
|857.143
| '''28/17'''
|
| 5/3
| '''18/11'''
|-
| 26
| 891.429
|
| '''5/3'''
|
|
|-
| 27
| 925.714
| '''17/10'''
| '''12/7'''
|
|
|-
| 28
| 960
| '''7/4'''
|
|
|
|-
| 29
| 994.286
|
|
|
| '''16/9'''
|-
| 30
|1028.571
| '''20/11'''
|
|
| '''9/5'''
|-
| 31
| 1062.857
|
| '''11/6''', 15/8
|
|
|-
| 32
| 1097.143
| '''32/17'''
| '''28/15'''
| '''15/8'''
| '''17/9'''
|-
| 33
| 1131.429
|
|
|
|
|-
| 34
| 1165.714
|
|
|
|
|-
| 35
| 1200
| 2/1
|
|
|
|}


== Notation ==
== Notation ==
Line 323: Line 588:
For a more complete list, see [[Ups and downs notation#Chords and Chord Progressions|Ups and downs notation - Chords and Chord Progressions]].
For a more complete list, see [[Ups and downs notation#Chords and Chord Progressions|Ups and downs notation - Chords and Chord Progressions]].


== JI Intervals ==
== Approximation to JI ==
(Bolded ratio indicates that the ratio is most accurately tuned by the given 35edo interval.)
 
{| class="wikitable"
|-
| Degrees
| Cents value
| Ratios in 2.5.7.11.17 subgroup
| Ratios with flat 3
| Ratios with sharp 3
| Ratios with best 9
|-
| 0
| 0.000
| '''1/1'''
| (see comma table)
|
|
|-
| 1
| 34.286
| '''50/49''', '''121/119''', 33/32
| '''36/35'''
| 25/24
| '''81/80'''
|-
| 2
| 68.571
| 128/125
| '''25/24'''
| 81/80
|
|-
| 3
| 102.857
| '''17/16'''
| '''15/14'''
| '''16/15'''
| '''18/17'''
|-
| 4
| 137.143
|
| '''12/11''', 16/15
|
|
|-
| 5
|171.429
| '''11/10'''
|
| 12/11
| '''10/9'''
|-
| 6
| 205.714
|
|
|
| '''9/8'''
|-
| 7
| 240
| '''8/7'''
|
| 7/6
|
|-
| 8
| 274.286
| '''20/17'''
| '''7/6'''
|
|
|-
| 9
| 308.571
|
| '''6/5'''
|
|
|-
| 10
|342.857
| '''17/14'''
|
| 6/5
| '''11/9'''
|-
| 11
| 377.143
| '''5/4'''
|
|
|
|-
| 12
| 411.429
| '''14/11'''
|
|
|
|-
| 13
| 445.714
| '''22/17''', 32/25
|
|
| '''9/7'''
|-
| 14
| 480
|
|
| 4/3, '''21/16'''
|
|-
| 15
|514.286
|
| '''4/3'''
|
|
|-
| 16
| 548.571
| '''11/8'''
|
|
|
|-
| 17
| 582.857
| '''7/5'''
| '''24/17'''
| 17/12
|
|-
| 18
| 617.143
| '''10/7'''
| '''17/12'''
| 24/17
|
|-
| 19
| 651.429
| '''16/11'''
|
|
|
|-
| 20
|685.714
|
| '''3/2'''
|
|
|-
| 21
| 720
|
|
| 3/2, '''32/21'''
|
|-
| 22
| 754.286
| '''17/11''', 25/16
|
|
| '''14/9'''
|-
| 23
| 788.571
| '''11/7'''
|
|
|
|-
| 24
| 822.857
| '''8/5'''
|
|
|
|-
| 25
|857.143
| '''28/17'''
|
| 5/3
| '''18/11'''
|-
| 26
| 891.429
|
| '''5/3'''
|
|
|-
| 27
| 925.714
| '''17/10'''
| '''12/7'''
|
|
|-
| 28
| 960
| '''7/4'''
|
|
|
|-
| 29
| 994.286
|
|
|
| '''16/9'''
|-
| 30
|1028.571
| '''20/11'''
|
|
| '''9/5'''
|-
| 31
| 1062.857
|
| '''11/6''', 15/8
|
|
|-
| 32
| 1097.143
| '''32/17'''
| '''28/15'''
| '''15/8'''
| '''17/9'''
|-
| 33
| 1131.429
|
|
|
|
|-
| 34
| 1165.714
|
|
|
|
|-
|3
|1200
|
|
|
|
|}


{{15-odd-limit|35}}
{{Q-odd-limit intervals|35}}


== Regular temperament properties ==
== Regular temperament properties ==
Retrieved from "https://en.xen.wiki/w/35edo"