Revision as of 11:50, 27 December 2025

Testing

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:

N: This edit created a new page (also see list of new pages)
m: This is a minor edit
b: This edit was performed by a bot
(±123): The page size changed by this number of bytes

12 June 2026

			N 21:19		Talk:2.11.13.17.19 subgroup 3 changes history +411 [Cmloegcmluin; Eufalesio (2×)]
					21:19 (cur \| prev) +16 Eufalesio talk contribs
					21:19 (cur \| prev) +255 Eufalesio talk contribs
			N		15:22 (cur \| prev) +140 Cmloegcmluin talk contribs (Created page with "Rather than delete, if this doesn’t meet standards, I’ll move it to a user page, because it is valuable to my own Yer tuning system.")

			19:57		Regular temperament 2 changes history +244 [Hkm; FloraC]
					19:57 (cur \| prev) +4 FloraC talk contribs (Move external links to external links section)
					06:07 (cur \| prev) +240 Hkm talk contribs (→Lists of temperaments) Tag: Visual edit

19:52

Whitewood diffhist +18 FloraC talk contribs (Wording & misc. additions)

N 19:27

Dog comma diffhist +19 Hotcrystal0 talk contribs (Redirected page to 81/76) Tag: New redirect

			19:11		39edo 3 changes history +168 [Overthink (3×)]
			m		19:11 (cur \| prev) +59 Overthink talk contribs (→As a tuning of other temperaments: link here)
					19:09 (cur \| prev) +22 Overthink talk contribs (→As a tuning of other temperaments: also this)
					00:46 (cur \| prev) +87 Overthink talk contribs (→Intervals: add these)

14:13

97/84 diffhist +13 Godtone talk contribs (missing words)

			N 11:09		2.3.5.7.11.13.19 subgroup 2 changes history +4,102 [Eufalesio (2×)]
					11:09 (cur \| prev) +1,580 Eufalesio talk contribs (Shameless near-copypaste from other articles, things missing TBA) Tag: Visual edit
			N		10:59 (cur \| prev) +2,522 Eufalesio talk contribs (Birth) Tag: Visual edit

N 11:00

Yazalathana diffhist +39 Eufalesio talk contribs (Redirect) Tags: New redirect Visual edit

10:47

2.11.13.17.19 subgroup diffhist +61 Eufalesio talk contribs (Please delete) Tag: Visual edit

N 09:30

1-3-5-7-9-13-15 pentatriandekany diffhist +1,296 Yourmusic Productions talk contribs (Create Page.)