User:Overthink/Sandbox

Scratchwork

The following tables show how 15-odd-limit intervals are represented in 5edo. Prime harmonics are in bold; inconsistent intervals are in italics.

15-odd-limit intervals in 5edo (direct approximation, even if inconsistent)

Interval and complement	Error (abs, ¢)	Error (rel, %)
1/1, 2/1	0.000	0.0
15/13, 26/15	7.741	3.2
7/4, 8/7	8.826	3.7
3/2, 4/3	18.045	7.5
13/10, 20/13	25.786	10.7
7/6, 12/7	26.871	11.2
9/8, 16/9	36.090	15.0
9/7, 14/9	44.916	18.7
13/11, 22/13	49.210	20.5
15/11, 22/15	56.951	23.7
9/5, 10/9	57.596	24.0
11/7, 14/11	62.492	26.0
11/8, 16/11	71.318	29.7
11/10, 20/11	74.996	31.2
5/3, 6/5	75.641	31.5
13/9, 18/13	83.382	34.7
11/6, 12/11	89.363	37.2
5/4, 8/5	93.686	39.0
13/12, 24/13	101.427	42.3
7/5, 10/7	102.512	42.7
11/9, 18/11	107.408	44.8
13/7, 14/13	111.702	46.5
15/8, 16/15	111.731	46.6
15/14, 28/15	119.443	49.8
13/8, 16/13	119.472	49.8

15-odd-limit intervals in 5edo (patent val mapping)

Interval and complement	Error (abs, ¢)	Error (rel, %)
1/1, 2/1	0.000	0.0
15/13, 26/15	7.741	3.2
7/4, 8/7	8.826	3.7
3/2, 4/3	18.045	7.5
13/10, 20/13	25.786	10.7
7/6, 12/7	26.871	11.2
9/8, 16/9	36.090	15.0
9/7, 14/9	44.916	18.7
9/5, 10/9	57.596	24.0
11/7, 14/11	62.492	26.0
11/8, 16/11	71.318	29.7
5/3, 6/5	75.641	31.5
13/9, 18/13	83.382	34.7
11/6, 12/11	89.363	37.2
5/4, 8/5	93.686	39.0
13/12, 24/13	101.427	42.3
7/5, 10/7	102.512	42.7
11/9, 18/11	107.408	44.8
15/8, 16/15	111.731	46.6
13/8, 16/13	119.472	49.8
15/14, 28/15	120.557	50.2
13/7, 14/13	128.298	53.5
11/10, 20/11	165.004	68.8
15/11, 22/15	183.049	76.3
13/11, 22/13	190.790	79.5

Whatever

List of abbreviations:

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14 June 2026

10:45

Garischismic family diffhist +610 FloraC talk contribs (Extend androschismic to 2.3.5.7.11.13.19)

10:40

Music of Georgia diffhist +186 Naren talk contribs (Add link to GVM field recordings)

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2.3.5.7.11.13.19 subgroup diffhist −49 FloraC talk contribs (Cleanup & recategorize)

			07:05		(Deletion log) [FloraC (2×)]
					07:05 FloraC talk contribs deleted page Talk:2.11.13.17.19 subgroup (Deleted together with the associated page with reason: Relocated to user namespace)
					07:05 FloraC talk contribs deleted page 2.11.13.17.19 subgroup (Relocated to user namespace)

			07:04		(Move log) [FloraC (2×)]
					07:04 FloraC talk contribs moved page User talk:2.11.13.17.19 subgroup to User talk:Cmloegcmluin/2.11.13.17.19 subgroup without leaving a redirect
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N    06:53

1-3-5-7-11-13-15 pentatriandekany diffhist +1,544 Yourmusic Productions talk contribs (Create Page.)

			06:32		(Upload log) [Yourmusic Productions; Overthink (3×)]
					06:32 Yourmusic Productions talk contribs uploaded File:1-3-5-7-11-13-15 Pentatriandekany.png (Made with [https://nickvuci.github.io/ScaleCircle ''ScaleCircle''] by Nick Vuci.)
					01:46 Overthink talk contribs uploaded File:9-odd-limit.png (All 9-odd-limit intervals within an octave with labels, on a cent ruler.)
					01:20 Overthink talk contribs uploaded File:7-odd-limit.png (All 7-odd-limit intervals within an octave with labels, on a cent ruler.)
					01:05 Overthink talk contribs uploaded File:5-odd-limit.png

01:57

119edo diffhist +68 Overthink talk contribs (→Theory: 119be)

01:47

9-odd-limit diffhist +82 Overthink talk contribs (add image)

01:27

3-odd-limit diffhist +185 Overthink talk contribs (perfect consonances)

01:24

Gallery of combination product sets diffhist +254 BudjarnLambeth talk contribs (Add new pages)

01:22

7-odd-limit diffhist +82 Overthink talk contribs (add image)

01:21

File:5-odd-limit.png diffhist +86 Overthink talk contribs (add summary)

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5-odd-limit diffhist +82 Overthink talk contribs (add image)

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List of microtonal software plugins diffhist +257 Inisil talk contribs (→Instrument plugins with microtonal support) Tag: Visual edit

00:38

719edo diffhist +36 Overthink talk contribs (mark)

00:38

709edo diffhist +27 Overthink talk contribs (mark this)

00:36

702edo diffhist +19 Overthink talk contribs (mark for deletion)

			00:34		355edo 4 changes history +21 [Overthink (4×)]
					00:34 (cur | prev) +21 Overthink talk contribs (actually yeah) Tag: Manual revert
					00:30 (cur | prev) −36 Overthink talk contribs (actually I'm not sure here) Tags: Manual revert Reverted
					00:28 (cur | prev) +15 Overthink talk contribs (do this actually) Tag: Reverted
					00:19 (cur | prev) +21 Overthink talk contribs (nominate for deletion) Tag: Reverted

00:27

387edo diffhist +21 Overthink talk contribs (nominate for deletion)

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366edo diffhist +21 Overthink talk contribs (delete)

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356edo diffhist +21 Overthink talk contribs (nominate for deletion)

00:15

346edo diffhist +1 Overthink talk contribs (nominate for deletion (doesn't appear in the optimal ET sequence for harry or jove; it is an ok tuning, but not quite notable))

00:11

336edo diffhist −43 Overthink talk contribs (delete intervals (laggy))

00:10

329edo diffhist +21 Overthink talk contribs (not enough to be notable)

00:06

239edo diffhist +16 Overthink talk contribs (→Intervals: move to separate page to reduce lag)

N    00:05

Table of 239edo intervals diffhist +25 Overthink talk contribs (move to separate page to reduce lag)

			00:04		245edo 2 changes history +21 [Overthink (2×)]
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00:03

249edo diffhist +21 Overthink talk contribs (doesn't feel very notable; possible mappings can be deduced from table)

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259edo diffhist +21 Overthink talk contribs (delete)

13 June 2026

			20:21		List of microtonal software plugins 2 changes history +252 [Contribution (2×)]
					20:21 (cur | prev) +34 Contribution talk contribs (→Instrument plugins with microtonal support)
					20:20 (cur | prev) +218 Contribution talk contribs Tag: Visual edit

19:22

Zoomoozophone diffhist +53 Naren talk contribs (Replace dead link with archive link) Tag: Visual edit: Switched

18:51

The Library diffhist +199 Naren talk contribs (Add Experimental Musical Instruments to Periodicals)

18:43

List of music software diffhist +885 Naren talk contribs (Add scale collections section)

18:29

Category:Lists of scales diffhist +16 Naren talk contribs (Add website to scale-library link)

17:47

Guitar diffhist +556 Naren talk contribs (Add Schneider and Perks books and Cotich dissertation to further reading)

17:28

Instruments diffhist +214 Naren talk contribs (Added Grove Microtonal instruments article to further reading.)

			15:53		(Move log) [Cmloegcmluin (2×)]
					15:53 Cmloegcmluin talk contribs moved page Talk:2.11.13.17.19 subgroup to User talk:2.11.13.17.19 subgroup (nominated for deletion from main b/c arguably unnotable subgroup, but relevant to the Yer tuning)
					15:53 Cmloegcmluin talk contribs moved page 2.11.13.17.19 subgroup to User:2.11.13.17.19 subgroup (nominated for deletion from main b/c arguably unnotable subgroup, but relevant to the Yer tuning)

m   13:38

51/50 diffhist +1 Wilh3lm talk contribs (typo part 2)