User contributions for Xenllium

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..." current Tags: Mobile edit Mobile web edit
10:2010:20, 9 August 2025 diff hist +41 19/15 No edit summary current Tags: Mobile edit Mobile web edit

11:2111:21, 4 August 2025 diff hist 0 m Dyadic chord No edit summary current

12:4412:44, 2 August 2025 diff hist 0 m List of superparticular intervals No edit summary current

01:5101:51, 5 July 2025 diff hist +7 m Sulbasutrisma No edit summary

03:3203:32, 29 June 2025 diff hist +17 Dual-fifth temperaments No edit summary current
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

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

13:2913:29, 13 June 2025 diff hist +435 N 750/749 Created page with "{{Niche}} {{Infobox interval|Name = ancient Chinese tempering comma |Color name = 107ury3-2|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"

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

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 = L43uy-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

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, 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, 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

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

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

14:5814:58, 31 May 2025 diff hist +149 64/57 No edit summary current
14:1914:19, 31 May 2025 diff hist +1,639 List of octave-reduced harmonics Added 83 and 107 harmonics; fixed typo (because 161 and 247 are composite) current
12:0012:00, 31 May 2025 diff hist +44 m Undevicesimal counterschisma No edit summary current

11:2511:25, 29 May 2025 diff hist +916 N Undevicesimal counterschisma Created page with "{{Infobox Interval | Ratio = 717897987691852588770249 / 717799705396186072481792 | Monzo = -75 50 0 0 0 0 0 -1 | Name = undevicesimal counterschisma | Color name = L719u-6, seplanu negative 6th | Comma = yes }} The '''undevicesimal counterschisma''' is a 19-limit unnoticeable comma measuring about 0.24 cents. While the undevicesimal schisma (513/512) is the difference between the Pythagorean minor third (32/27) and the 19/1..."
11:0811:08, 29 May 2025 diff hist +536 Unnoticeable comma No edit summary

11:1711:17, 28 May 2025 diff hist +220 Essential tempering comma →List of essential tempering commas by odd limit: added several commas Tags: Mobile edit Mobile web edit

23:1323:13, 27 May 2025 diff hist +189 5/1 No edit summary Tags: Mobile edit Mobile web edit

12:1412:14, 26 May 2025 diff hist +81 361/360 No edit summary current

22:1522:15, 25 May 2025 diff hist −23 m Navicular comma →Etymology current
05:2105:21, 25 May 2025 diff hist +63 m S-expression No edit summary
02:5402:54, 25 May 2025 diff hist −4 m S-expression No edit summary
02:1602:16, 25 May 2025 diff hist −10 m S-factorization Changed redirect target from Square superparticular#Using S-factorizations to understand the significance of S-expressions to S-expression#Using S-factorizations to understand the significance of S-expressions current Tag: Redirect target changed
02:1602:16, 25 May 2025 diff hist −10 m S-factorisation Changed redirect target from Square superparticular#Using S-factorizations to understand the significance of S-expressions to S-expression#Using S-factorizations to understand the significance of S-expressions current Tag: Redirect target changed
02:1502:15, 25 May 2025 diff hist −10 m S-comma Changed redirect target from Square superparticular#Glossary to S-expression#Glossary current Tag: Redirect target changed

12:5112:51, 24 May 2025 diff hist +2,584 Unnoticeable comma →List of commas, by prime limit Tags: Mobile edit Mobile web edit

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