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From Xenharmonic Reference
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- 06:53, 5 January 2026 Vector talk contribs created page User:Vector/Vector's intro to 22edo (Created page with "22edo (22 equal divisions of the octave) contains steps of ~55 cents, which stack 22 times to reach the octave 2/1. == Table of Intervals == Interval names derive from ADIN. {| class="wikitable" |+ !Edostep !Cents !Name !Just Intonation !Pajara !Mosdiatonic !Blackdye/Zarlino |- |0 |0 |Perfect 1sn |1/1 |0 |C |C |- |1 |55 |Subminor 2nd |36/35, 25/24 |1b |Db |C# |- |2 |109 |Pentaminor 2nd |16/15 |1 |vC#, ^Db |Db |- |3 |164 |Pentamajor 2nd |10/9 |1# |C# |D |- |4 |218 |S...") Tag: Visual edit
- 06:42, 5 January 2026 Vector talk contribs created page User:Vector/Vector's intro to 22edo/The diatonic scale (Created page with "22edo has no one perfectly obvious counterpart to the diatonic scale found in 12edo. Instead, there are two heptatonic scales with diatonic-like behavior, the Pythagorean diatonic and the zarlino diatonic. The distinction between the two diatonic scales arises from how the diatonic in 12edo is interpreted. 12edo's diatonic can be viewed as a simplification of 5-limit harmony, in which case 22edo, as a system that does not make the same simplifications, must make distinct...") Tag: Visual edit
- 06:03, 5 January 2026 Vector talk contribs created page User:Vector/Vector's intro to 22edo/Chains of intervals (Created page with "In 12edo, there are only the following chains which cycle through all intervals: the chain of fifths and the chain of fourths, which are basically the same thing and close as circles of length 12. All other circles of intervals (besides just stepping up every note in order) return to the original note before reaching all the others. This is a result of the fact that only 1, 5, 7, and 11 are coprime to 12, meaning that there is only a single meaningful circle. However, 2...") Tag: Visual edit
- 05:30, 5 January 2026 Vector talk contribs created page User:Vector/Vector's intro to 22edo/Notation (Created page with "While 22edo is intuitive in many different ways, notating it is somewhat complicated. While many people try to use the diatonic scale as a basis for notation, I personally find it more illuminating to understand 22edo as not adding any new accidentals to the standard 12-note system, but instead adding three new ordinals in the first place. However, I'll still be providing the standard diatonic notation for 22edo, which takes as a basis the Pythagorean diatonic scale (4-4...") Tag: Visual edit
- 08:34, 4 January 2026 Vector talk contribs moved page Gallery of just intonation scales to User:Tristanbay/Gallery of just intonation scales
- 05:35, 4 January 2026 Inthar talk contribs created page 13edo (Created page with "'''13edo''', or 13 equal divisions of the octave, is the equal tuning featuring steps of (1200/13) ~= 92.308 cents, 13 of which stack to the perfect octave 2/1. It does not approximate many small prime harmonics well at all but approximates 10/9, 11/8, 17/13, and 13/8 (more accurately 21/13) well for its size. The approximations do not fit very well in a rank-2 temperament, though, so higher JI (taking advantage of e.g. 13:17:21 or 17:20:26:29) or delta-rational chord|...")
- 05:20, 4 January 2026 Colonizor48 talk contribs created page 11edo (I will make another edit to this to finish the change in 1 second)
- 05:06, 4 January 2026 User account Colonizor48 talk contribs was created
- 04:43, 4 January 2026 Tristanbay talk contribs created page Gallery of just intonation scales (Created gallery of JI scales (expanded from my user page))
- 22:18, 3 January 2026 Vector talk contribs created page ADIN (Redirected page to Adaptive diatonic interval names) Tags: New redirect Visual edit
- 22:15, 3 January 2026 Vector talk contribs created page Adaptive diatonic interval names (Created page with "thumb|291x291px|22edo with adaptive diatonic interval names Adaptive diatonic interval names are Vector's attempt to characterize the labelling of certain EDOs' degrees of thirds in a manner inconsistent with conventional diatonic notation in a formal, systematic way. == Step 1: Identify central intervals == For an EDO (let's say, 58edo), identify the "central intervals" for each category. These are the diatonic neutral intervals,...") Tag: Visual edit
- 22:15, 3 January 2026 Vector talk contribs created page File:22edo ADIN.png (e)
- 22:15, 3 January 2026 Vector talk contribs uploaded File:22edo ADIN.png (e)
- 22:15, 3 January 2026 Vector talk contribs created page File:Qetqet.png (e)
- 22:15, 3 January 2026 Vector talk contribs uploaded File:Qetqet.png (e)
- 22:14, 3 January 2026 Vector talk contribs created page File:Qyrewywe.png (e)
- 22:14, 3 January 2026 Vector talk contribs uploaded File:Qyrewywe.png (e)
- 22:14, 3 January 2026 Vector talk contribs created page File:With minor.png (e)
- 22:14, 3 January 2026 Vector talk contribs uploaded File:With minor.png (e)
- 22:14, 3 January 2026 Vector talk contribs created page File:4th 1.png (e)
- 22:14, 3 January 2026 Vector talk contribs uploaded File:4th 1.png (e)
- 22:14, 3 January 2026 Vector talk contribs created page File:4ths er.png (e)
- 22:14, 3 January 2026 Vector talk contribs uploaded File:4ths er.png (e)
- 22:14, 3 January 2026 Vector talk contribs created page File:Compie Compie.png (e)
- 22:14, 3 January 2026 Vector talk contribs uploaded File:Compie Compie.png (e)
- 22:14, 3 January 2026 Vector talk contribs created page File:Composite 2.png (e)
- 22:14, 3 January 2026 Vector talk contribs uploaded File:Composite 2.png (e)
- 22:14, 3 January 2026 Vector talk contribs created page File:Oneieh.png (e)
- 22:14, 3 January 2026 Vector talk contribs uploaded File:Oneieh.png (e)
- 03:42, 3 January 2026 Inthar talk contribs created page Extension (Redirected page to Glossary#Extension) Tag: New redirect
- 04:15, 2 January 2026 Tristanbay talk contribs created page File:E b1.png (Gradient of color scheme E.b1; Light mode colors on top, base colors in the middle, and dark mode colors on the bottom. The x-coordinate of the pixel corresponds to the number of cents in the represented interval, octave-reduced and rounded down to the next whole cent.)
- 04:15, 2 January 2026 Tristanbay talk contribs uploaded File:E b1.png (Gradient of color scheme E.b1; Light mode colors on top, base colors in the middle, and dark mode colors on the bottom. The x-coordinate of the pixel corresponds to the number of cents in the represented interval, octave-reduced and rounded down to the next whole cent.)
- 05:34, 1 January 2026 Tristanbay talk contribs created page User:Tristanbay (Created my user page) Tag: Visual edit: Switched
- 05:07, 1 January 2026 Tristanbay talk contribs created page Ploidacot (Created page for ploidacot)
- 21:08, 31 December 2025 Tristanbay talk contribs created page 72edo (Created page fro 72edo) Tag: Visual edit: Switched
- 04:08, 31 December 2025 Vector talk contribs moved page User:Vector/ to User:Vector
- 03:55, 31 December 2025 Vector talk contribs created page User:Vector/ (Created page with "Hello! I am sylvanScreech, VectorGraphics, Sylivia, JW, Nasko, Winter, or whatever other names I happen to have. * any/all agender aromantic asexual, a little freaky * Homestuck fan * autistic * certified worldjerker * "machine slave" or something ig * toki pona complainer 9000 * I'm a fairy, maybe. * maker of 62489624 different idiosyncratic terms * check out [https://vector-graphics.github.io/undersided/ Undersided] I'm mainly inte...") Tag: Visual edit
- 23:41, 30 December 2025 Vector talk contribs created page User:Vector/Interval naming policy (Created page with "{| class="wikitable" |+ !Comma alteration !Factors !Down from major !Up from major !Down from minor !Up from minor |- |0 | |diatonic major |diatonic major |diatonic minor |diatonic minor |- |81/80 |5 |grave major |acute major |grave minor |acute minor |- |64/63 |7 |septimal submajor |septimal supermajor |septimal subminor |septimal supraminor |- |5120/5103 |5/7 |septimal narrow major |septimal wide major |septimal narrow minor |septimal wide minor |- |36/35 |5*7 |septima...") Tag: Visual edit
- 04:33, 30 December 2025 Inthar talk contribs created page Formal octave (Redirected page to Glossary#Equivalence interval) Tag: New redirect
- 08:18, 29 December 2025 Vector talk contribs created page Template:Interval ruler (Created page with "<includeonly>{{#invoke:Interval ruler|e|{{{1|58}}}|{{{2|}}}|{{{3|1200}}}}}</includeonly> <noinclude> <hr> <code><nowiki> {{Interval ruler|58|0, 400, 700|700}} </nowiki></code> {{Interval ruler|58|0, 400, 700|700}} <hr> <code><nowiki> {{Interval ruler|58|0, 400, 700}} </nowiki></code> {{Interval ruler|58|0, 400, 700}} <hr> <code><nowiki> {{Interval ruler|12||3600}} </nowiki></code> {{Interval ruler|12||3600}} The first parameter is the edo / resolution (by default, 5...")
- 07:58, 29 December 2025 Vector talk contribs created page Module:Interval ruler (Created page with "local p = {} function p.e(resolution,intervals,length) length = length or 1200 intervals = intervals or {} i = math.floor(length/1200 * resolution + 0.5) z = {} for k = 0, i do z[k] = "─" end for n = 1, #intervals do z[math.floor(intervals[n]/1200 * resolution + 0.5)] = "┴" end for m = 0, math.floor(i/resolution) do if (z[m*resolution] == "┴") then z[m*resolution] = "┼" else z[m*resolution] = "┬" end end if(z[0]=="┼") then z[0]="├" end if(z[0]=="...")
- 18:01, 28 December 2025 User account Lumithesilly talk contribs was created
- 23:31, 27 December 2025 Inthar talk contribs created page Scale (Created page with "#redirct Glossary#Scale")
- 22:36, 27 December 2025 Inthar talk contribs created page User:Inthar/Template:Notation (Created page with ":''For more information on the math notation on this page, see User:Inthar/Math style guide.''")
- 07:52, 27 December 2025 Vector talk contribs created page Diatonic major third (Created page with "{{Infobox interval|81/64|Name=Diatonic major third}} The '''diatonic major third (M3)''', represented by the frequency ratio '''81/64''', is the larger of the two thirds (2-step intervals) in the MOS form of the diatonic scale. It is generated by stacking 4 fifths octave-reduced. In Pythagorean tuning (and thus purely-tuned just intonation), it is approximately {{Cents from ratio|81/64|ratio=81/64}} cents in size, but as an interval in the abstract diatonic scal...") Tag: Visual edit
- 00:19, 27 December 2025 Inthar talk contribs created page CPS (Redirected page to Combination product set) Tag: New redirect
- 17:53, 26 December 2025 Inthar talk contribs created page Odd limit (Redirected page to Glossary#Limit) Tag: New redirect
- 17:53, 26 December 2025 Inthar talk contribs created page Odd-limit (Redirected page to Glossary#Limit) Tag: New redirect
- 17:52, 26 December 2025 Inthar talk contribs created page Oddlimit (Redirected page to Glossary#Limit) Tag: New redirect
- 17:52, 26 December 2025 Inthar talk contribs created page Primelimit (Redirected page to Glossary#Limit) Tag: New redirect
