User:Overthink/Table of 17edo intervals - Revision history

Overthink at 04:09, 24 September 2025

2025-09-24T04:09:25Z

← Older revision		Revision as of 04:09, 24 September 2025
Line 1:		Line 1:
			The intervals of 17edo.
	{\| class="wikitable center-all right-2 left-4 left-5"		{\| class="wikitable center-all right-2 left-4 left-5"
	\|-		\|-
	! #		! Steps
	! Cents		! Cents
	!Approximate ratios		!Approximate ratios
	! Name		! Name
			!Mnemonic
	\|-		\|-
	\| 0		\| 0
	\| 0.0		\| 0.0
			\|1/1
			\| Perfect 1sn
	\|		\|
	~~\| Perfect 1sn~~
	\|-		\|-
	\| 1		\| 1
	\| 70.6		\| 70.6
			\|28/27, 33/32
			\| Minor 2nd
	\|		\|
	~~\| Minor 2nd~~
	\|-		\|-
	\| 2		\| 2
	\| 141.2		\| 141.2
			\|12/11, 13/12, 14/13
			\| Neutral 2nd
	\|		\|
	~~\| Neutral 2nd~~
	\|-		\|-
	\| 3		\| 3
	\| 211.8		\| 211.8
			\|8/7, 9/8
			\| Major 2nd
	\|		\|
	~~\| Major 2nd~~
	\|-		\|-
	\| 4		\| 4
	\| 282.4		\| 282.4
			\|7/6, 13/11, 32/27
			\| Minor 3rd
	\|		\|
	~~\| Minor 3rd~~
	\|-		\|-
	\| 5		\| 5
	\| 352.9		\| 352.9
			\|11/9, 16/13, 27/22
			\| Neutral 3rd
	\|		\|
	~~\| Neutral 3rd~~
	\|-		\|-
	\| 6		\| 6
	\| 423.5		\| 423.5
			\|9/7, 14/11
			\| Major 3rd
	\|		\|
	~~\| Major 3rd~~
	\|-		\|-
	\| 7		\| 7
	\| 494.1		\| 494.1
			\|4/3
			\| Perfect 4th
	\|		\|
	~~\| Perfect 4th~~
	\|-		\|-
	\| 8		\| 8
	\| 564.7		\| 564.7
			\|11/8, 18/13
			\| Augmented 4th
	\|		\|
	~~\| Augmented 4th~~
	\|-		\|-
	\| 9		\| 9
	\| 635.3		\| 635.3
			\|16/11, 13/9
			\| Diminished 5th
	\|		\|
	~~\| Diminished 5th~~
	\|-		\|-
	\| 10		\| 10
	\| 705.9		\| 705.9
			\|3/2
			\| Perfect 5th
	\|		\|
	~~\| Perfect 5th~~
	\|-		\|-
	\| 11		\| 11
	\| 776.5		\| 776.5
			\|14/9, 11/7
			\| Minor 6th
	\|		\|
	~~\| Minor 6th~~
	\|-		\|-
	\| 12		\| 12
	\| 847.1		\| 847.1
			\|18/11, 13/8, 44/27
			\| Neutral 6th
	\|		\|
	~~\| Neutral 6th~~
	\|-		\|-
	\| 13		\| 13
	\| 917.6		\| 917.6
			\|12/7, 22/13, 27/16
			\| Major 6th
	\|		\|
	~~\| Major 6th~~
	\|-		\|-
	\| 14		\| 14
	\| 988.2		\| 988.2
			\|7/4, 16/9
			\| Minor 7th
	\|		\|
	~~\| Minor 7th~~
	\|-		\|-
	\| 15		\| 15
	\| 1058.8		\| 1058.8
			\|11/6, 24/13, 13/7
			\| Neutral 7th
	\|		\|
	~~\| Neutral 7th~~
	\|-		\|-
	\| 16		\| 16
	\| 1129.4		\| 1129.4
			\|27/14, 64/33
			\| Major 7th
	\|		\|
	~~\| Major 8ve~~
	\|-		\|-
	\| 17		\| 17
	\| 1200.0		\| 1200.0
			\|2/1
			\| Perfect 8ve
	\|		\|
	~~\| Perfect 8ve~~
	\|}		\|}

Overthink at 04:00, 24 September 2025

2025-09-24T04:00:21Z

← Older revision		Revision as of 04:00, 24 September 2025
Line 3:		Line 3:
	! #		! #
	! Cents		! Cents
	! ~~Associated~~ ratios		!Approximate ratios
	! Name		! Name
	~~! Note~~
	\|-		\|-
	\| 0		\| 0
	\| 0.0		\| 0.0
	\| ~~1/1~~		\|
	\| Perfect 1sn		\| Perfect 1sn
	~~\| D~~
	\|-		\|-
	\| 1		\| 1
	\| 70.6		\| 70.6
	\| ~~33/32~~		\|
	\| ~~Augmented 1sn~~		\| Minor 2nd
	~~\| D#~~
	\|-		\|-
	\| 2		\| 2
	\| 141.2		\| 141.2
	\| ~~12/11~~		\|
	\| ~~Minor~~ 2nd		\| Neutral 2nd
	~~\| Eb~~
	\|-		\|-
	\| 3		\| 3
	\| 211.8		\| 211.8
	\| ~~9/8~~		\|
	\| Major 2nd		\| Major 2nd
	~~\| E~~
	\|-		\|-
	\| 4		\| 4
	\| 282.4		\| 282.4
	\| ~~32/27~~		\|
	\| ~~Diminished~~ 3rd		\| Minor 3rd
	~~\| Fb~~
	\|-		\|-
	\| 5		\| 5
	\| 352.9		\| 352.9
	\| ~~11/9, 27/22~~		\|
	\| ~~Perfect~~ 3rd		\| Neutral 3rd
	~~\| F~~
	\|-		\|-
	\| 6		\| 6
	\| 423.5		\| 423.5
	\| ~~81/64~~		\|
	\| ~~Augmented~~ 3rd		\| Major 3rd
	~~\| F#~~
	\|-		\|-
	\| 7		\| 7
	\| 494.1		\| 494.1
	\| ~~4/3~~		\|
	\| ~~Minor~~ 4th		\| Perfect 4th
	~~\| G~~
	\|-		\|-
	\| 8		\| 8
	\| 564.7		\| 564.7
	\| ~~11/8~~		\|
	\| ~~Major~~ 4th		\| Augmented 4th
	~~\| G#~~
	\|-		\|-
	\| 9		\| 9
	\| 635.3		\| 635.3
	\| ~~16/11~~		\|
	\| ~~Minor~~ 5th		\| Diminished 5th
	~~\| Ab~~
	\|-		\|-
	\| 10		\| 10
	\| 705.9		\| 705.9
	\| ~~3/2~~		\|
	\| ~~Major~~ 5th		\| Perfect 5th
	~~\| A~~
	\|-		\|-
	\| 11		\| 11
	\| 776.5		\| 776.5
	\| ~~128/81~~		\|
	\| ~~Diminished~~ 6th		\| Minor 6th
	~~\| Bb~~
	\|-		\|-
	\| 12		\| 12
	\| 847.1		\| 847.1
	\| ~~18/11, 44/27~~		\|
	\| ~~Perfect~~ 6th		\| Neutral 6th
	~~\| B~~
	\|-		\|-
	\| 13		\| 13
	\| 917.6		\| 917.6
	\| ~~27/16~~		\|
	\| ~~Augmented~~ 6th		\| Major 6th
	~~\| B#~~
	\|-		\|-
	\| 14		\| 14
	\| 988.2		\| 988.2
	\| ~~16/9~~		\|
	\| Minor 7th		\| Minor 7th
	~~\| Cb~~
	\|-		\|-
	\| 15		\| 15
	\| 1058.8		\| 1058.8
	\| ~~11/6~~		\|
	\| ~~Major~~ 7th		\| Neutral 7th
	~~\| C~~
	\|-		\|-
	\| 16		\| 16
	\| 1129.4		\| 1129.4
	\| ~~64/33~~		\|
	\| ~~Diminished~~ 8ve		\| Major 8ve
	~~\| Db~~
	\|-		\|-
	\| 17		\| 17
	\| 1200.0		\| 1200.0
	\| ~~2/1~~		\|
	\| Perfect 8ve		\| Perfect 8ve
	~~\| D~~
	\|}		\|}

Overthink: copied table from 17edo page, made it uncollapsible, changed column order

2025-09-24T03:50:50Z

copied table from 17edo page, made it uncollapsible, changed column order

New page

{| class="wikitable center-all right-2 left-4 left-5"
|-
! #
! Cents
! Associated ratios
! Name
! Note
|-
| 0
| 0.0
| 1/1
| Perfect 1sn
| D
|-
| 1
| 70.6
| 33/32
| Augmented 1sn
| D#
|-
| 2
| 141.2
| 12/11
| Minor 2nd
| Eb
|-
| 3
| 211.8
| 9/8
| Major 2nd
| E
|-
| 4
| 282.4
| 32/27
| Diminished 3rd
| Fb
|-
| 5
| 352.9
| 11/9, 27/22
| Perfect 3rd
| F
|-
| 6
| 423.5
| 81/64
| Augmented 3rd
| F#
|-
| 7
| 494.1
| 4/3
| Minor 4th
| G
|-
| 8
| 564.7
| 11/8
| Major 4th
| G#
|-
| 9
| 635.3
| 16/11
| Minor 5th
| Ab
|-
| 10
| 705.9
| 3/2
| Major 5th
| A
|-
| 11
| 776.5
| 128/81
| Diminished 6th
| Bb
|-
| 12
| 847.1
| 18/11, 44/27
| Perfect 6th
| B
|-
| 13
| 917.6
| 27/16
| Augmented 6th
| B#
|-
| 14
| 988.2
| 16/9
| Minor 7th
| Cb
|-
| 15
| 1058.8
| 11/6
| Major 7th
| C
|-
| 16
| 1129.4
| 64/33
| Diminished 8ve
| Db
|-
| 17
| 1200.0
| 2/1
| Perfect 8ve
| D
|}