User contributions for Xenllium
27 December 2025
- 05:4505:45, 27 December 2025 diff hist +28 User:Xenllium →Temperaments which this user proposed names Tags: Mobile edit Mobile web edit
16 November 2025
- 05:0305:03, 16 November 2025 diff hist +1,546 N 15ed4/3 Created page with "{{Infobox ET}} '''15 equal divisions of the perfect fourth''' ('''15ed4/3''') is the tuning system that divides the fourth into 15 steps of 33.203 cents each. It can be thought of as a 4/3.8/7.32/13.32/17.19/16 subgroup analogue to 11edf or Carlos Beta. It very closely approximates the intervals of 8/7 (at 7 steps) and 7/6 (at 8 steps), along with 18/17 (at 3 steps), 19/16 (at 9 steps) and 17/13 (at 14 steps); these approximations..." current Tags: Mobile edit Mobile web edit
- 03:5803:58, 16 November 2025 diff hist +1,306 N 13ed4/3 Created page with "{{Infobox ET}} '''13 equal divisions of the perfect fourth''' ('''13ed4/3''') is the tuning system that divides the fourth into 13 steps of 38.3112 cents each. It can be thought of as a 4/3.5/3.7/6 subgroup analogue to 9edf or Carlos Alpha. It very closely approximates the intervals of 8/7 (at 6 steps) and 7/6 (at 7 steps), along with 5/4 (at 10 steps); these approximations are related to the slender temperament, te..." current Tags: Mobile edit Mobile web edit
- 03:0103:01, 16 November 2025 diff hist +1 Equal-step tuning No edit summary Tags: Mobile edit Mobile web edit
15 November 2025
- 12:4012:40, 15 November 2025 diff hist +77 Essential tempering comma →List of small essential tempering commas by odd limit current Tags: Mobile edit Mobile web edit
- 10:3710:37, 15 November 2025 diff hist +143 Essential tempering comma →List of small essential tempering commas by odd limit Tags: Mobile edit Mobile web edit
14 November 2025
- 02:3902:39, 14 November 2025 diff hist +108 Medium comma No edit summary Tags: Mobile edit Mobile web edit
12 November 2025
- 22:0822:08, 12 November 2025 diff hist +18 User:Xenllium No edit summary Tags: Mobile edit Mobile web edit
15 September 2025
- 12:4812:48, 15 September 2025 diff hist +170 Generator ranges of MOS No edit summary current
- 12:4312:43, 15 September 2025 diff hist +110 N File:Generator ranges of primitive MOS scales.png Ranges of generators for primitive MOS scales with the number of steps in the scale from 2 to 19 current
9 August 2025
- 10:4910:49, 9 August 2025 diff hist +310 Gallery of just intervals →Gallery of just intervals Tags: Mobile edit Mobile web edit
- 10:4010:40, 9 August 2025 diff hist +746 N 76/45 Created page with "{{Infobox interval | Name = Eratosthenes' major sixth | Color name = 19og7, nogu 7th }} '''76/45''' is a 19-limit interval, 907.3 cents in size. In the Functional Just System and Helmholtz-Ellis notation, it is a ''diminished seventh'', obtained by adding 81/80 and 513/512 to the Pythagorean diminished seventh, but it may be called the '''Eratosthenes' major sixth''' as it is sharper than the Pythagorean major sixth by t..." current
- 10:3210:32, 9 August 2025 diff hist +789 N 45/38 Created page with "{{Infobox interval | Name = Eratosthenes' minor third | Color name = 19uy2, nuyo 2nd }} '''45/38''' is a 19-limit interval, 292.7 cents in size. In the Functional Just System and Helmholtz-Ellis notation, it is an ''augmented second'', obtained by subtracting 81/80 and 513/512 to the Pythagorean augmented second, but it may be called the '''Eratosthenes' minor third''' as it is flatter than the Pythagorean minor third by..." Tags: Mobile edit Mobile web edit
- 10:2010:20, 9 August 2025 diff hist +41 19/15 No edit summary Tags: Mobile edit Mobile web edit
4 August 2025
- 11:2111:21, 4 August 2025 diff hist 0 m Dyadic chord No edit summary
2 August 2025
- 12:4412:44, 2 August 2025 diff hist 0 m List of superparticular intervals No edit summary
5 July 2025
- 02:2602:26, 5 July 2025 diff hist +170 User:Xenllium No edit summary
- 01:5101:51, 5 July 2025 diff hist +7 m Sulbasutrisma No edit summary
29 June 2025
- 03:3203:32, 29 June 2025 diff hist +17 Dual-fifth temperaments No edit summary
- 02:3102:31, 29 June 2025 diff hist +457 Dual-fifth temperaments No edit summary
- 01:4401:44, 29 June 2025 diff hist +30 m 256/181 No edit summary
- 01:4201:42, 29 June 2025 diff hist +30 m 181/128 No edit summary
15 June 2025
- 12:4512:45, 15 June 2025 diff hist −48 51/40 No edit summary current Tags: Mobile edit Mobile web edit
- 12:4012:40, 15 June 2025 diff hist +208 80/51 No edit summary current Tags: Mobile edit Mobile web edit
13 June 2025
- 13:3813:38, 13 June 2025 diff hist +58 m User:BudjarnLambeth/Substitute harmonic No edit summary
- 13:2913:29, 13 June 2025 diff hist +435 N 750/749 Created page with "{{Niche}} {{Infobox interval|Name = ancient Chinese tempering comma |Color name = 107ury<sup>3</sup>-2|Comma = yes}} '''750/749''' is a 107-limit superparticular interval measuring 2.31 cents. It is known as '''ancient Chinese tempering comma''', on the account of the perfect fifth of 12edo is approximated by 749/500 = 1.498 as frequency ratio, flattened 3/2 by it. == See also == * List of superparticular intervals"
9 June 2025
- 14:0014:00, 9 June 2025 diff hist +25 m 226/225 No edit summary
- 13:5713:57, 9 June 2025 diff hist +964 N 226/225 Created page with "{{Niche}} {{Infobox interval | Ratio = 226/225 | Name = reversed marvel comma | Color name = 113ogg2 | Comma = yes }} '''226/225''' is a comma of the 2.3.5.113 subgroup. It is the amount by which the octave-reduced 113th harmonic 113/64 exceeds the classic augmented sixth of 225/128, and differs from the marvel comma (225/224) by 50625/50624 (S225, ~0.0342¢). It is the parent comma for the No-sevens subgroup temperaments #Higher-limit subgroup temperam..."
- 10:0710:07, 9 June 2025 diff hist +141 Small comma No edit summary
- 10:0510:05, 9 June 2025 diff hist +117 List of superparticular intervals No edit summary
- 10:0010:00, 9 June 2025 diff hist +845 No-sevens subgroup temperaments No edit summary
- 03:1103:11, 9 June 2025 diff hist +219 User:Xenllium No edit summary Tags: Mobile edit Mobile web edit
7 June 2025
- 08:1708:17, 7 June 2025 diff hist +784 N Barbadisma Created page with "{{Infobox interval | Ratio = 114383962274805/114349209288704 | Monzo = -43 28 1 0 0 -1 | Name = barbadisma | Color name = L<sup>4</sup>3uy-4, quadla-thuyo negative 4th | Comma = yes }} The '''barbadisma''' is a 13-limit unnoticeable comma with frequency ratio of 114383962274805 / 114349209288704, measuring about 0.53 cents. It forms the difference between four apotomes and the Barbados third (13/10). == Temperaments == By tempering it ou..." current Tags: Mobile edit Mobile web edit
4 June 2025
- 07:5707:57, 4 June 2025 diff hist +110 Essential tempering comma →List of essential tempering commas by odd limit Tags: Mobile edit Mobile web edit
- 01:2401:24, 4 June 2025 diff hist +421 N 144/95 Created page with "{{Niche}} {{Infobox interval | Name = undevicesimal quasi-tempered 3/5-octave, <br>undevicesimal 5EDO-esque fifth | Color name = 19ug5, nugu 5th }} '''144/95''' is a wide fifth very close to that of 5edo, differing by only ~1/12 cents. It is sharp of 3/2 by 96/95, flat of 8/5 by 19/18 and flat of 32/21 by 190/189. == See also == * 95/72 – its octave complement Category:Fifth"
- 01:2101:21, 4 June 2025 diff hist +427 N 95/72 Created page with "{{Niche}} {{Infobox interval | Name = undevicesimal quasi-tempered 2/5-octave, <br>undevicesimal 5EDO-esque fourth | Color name = 19oy4, noyo 4th }} '''95/72''' is a narrow fourth very close to that of 5edo, differing by only ~1/12 cents. It is flat of 4/3 by 96/95, sharp of 5/4 by 19/18 and sharp of 21/16 by 190/189. == See also == * 144/95 – its octave complement Category:Fourth"
- 00:5900:59, 4 June 2025 diff hist +67 224/195 No edit summary
- 00:5300:53, 4 June 2025 diff hist +81 171/128 No edit summary current
- 00:4800:48, 4 June 2025 diff hist +542 m Gallery of just intervals fixed typo and added some intervals
- 00:2900:29, 4 June 2025 diff hist +745 Gallery of just intervals No edit summary
3 June 2025
- 08:4708:47, 3 June 2025 diff hist +53 N Category:Trivial temperaments Created page with "{{Cat main|Trivial temperament}} Category:Theory"
2 June 2025
- 11:2611:26, 2 June 2025 diff hist +148 256/181 No edit summary Tags: Mobile edit Mobile web edit
- 11:2411:24, 2 June 2025 diff hist +148 181/128 No edit summary Tags: Mobile edit Mobile web edit
- 03:5303:53, 2 June 2025 diff hist +18 181/128 Fixed typo (undo revision 198454)
- 03:5103:51, 2 June 2025 diff hist +373 256/181 No edit summary
- 03:4603:46, 2 June 2025 diff hist +355 181/128 No edit summary
1 June 2025
- 10:1410:14, 1 June 2025 diff hist +338 N 256/181 Created page with "{{Infobox interval | Name = octave-reduced 181st subharmonic, utonal quasi-tempered tritone | Color name = 181u5 }} '''256/181''' is the octave-reduced 181st subharmonic. It can be described as a utonal quasi-tempered tritone, measuring 600.185 cents. == See also == * 181/128 – its octave complement Category:Tritone"
- 10:1310:13, 1 June 2025 diff hist +333 N 181/128 Created page with "{{Infobox interval | Name = octave-reduced 181st harmonic, otonal quasi-tempered tritone | Color name = 181o4 }} '''181/128''' is the octave-reduced 181st harmonic. It can be described as an otonal quasi-tempered tritone, measuring 599.815 cents. == See also == * 256/181 – its octave complement Category:Tritone"
- 10:0310:03, 1 June 2025 diff hist +645 Gallery of just intervals No edit summary
- 09:4509:45, 1 June 2025 diff hist +195 User:Xenllium No edit summary