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Combined display of all available logs of Xenharmonic Reference. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).

• 14:49, 4 April 2026 Vector talk contribs created page Blackwood (Created page with "thumb|An example of Blackwood temperament in a song by Vector '''Blackwood''' is a regular temperament primarily supported by 15edo but in technicality by any EDO with 5edo's fifth (such as 25edo or 10edo) which takes 5edo as its 2.3.7, and treats 5 as an independent generator. Its 10-note scale (LsLsLsLsLs, '''pentawood''') is unique among scales of its complexity for making a perfect fifth available on every note of the scale, at the cost...") Tag: Visual edit
• 14:45, 4 April 2026 Vector talk contribs created page File:Vector Blackwood.mp3
• 14:45, 4 April 2026 Vector talk contribs uploaded File:Vector Blackwood.mp3
• 06:05, 4 April 2026 Vector talk contribs created page Tritone (Created page with "A tritone is an interval close to 600 cents, or the size of three whole tones (hence the name). The interval of exactly 600 cents is the '''semioctave''', ''perfect median'', or ''perfect tritone'', and is the unique interval whose octave complement is itself == Properties of tritones in general == A tritone produces a neutral trine when played with the octave. Tritones tend to not be easily found in odd-numbered forms, but are structurally import...") Tag: Visual edit
• 01:49, 4 April 2026 Vector talk contribs created page Leapday (Redirected page to Gentle tuning) Tags: New redirect Visual edit
• 01:48, 4 April 2026 Vector talk contribs created page Gentle tuning (Created page with "'''Gentle tuning''' is the regular tuning of the perfect fifth somewhere between the tunings given by 29edo and 17edo, producing MOS diatonic scales with step size ratios between 5:2 and 3:1 (and consequently chromatic scales between 3:2 and 2:1, including the golden tuning of p-chromatic). As a result, the major third generated is between 413.8 and 423.5 cents, and approximates 14/11. It is so named because melodically it functions as a...") Tag: Visual edit
• 02:15, 1 April 2026 Vector talk contribs created page Table of temperaments by edo join (Created page with "This table lists temperaments by edo join. Unnamed temperaments are marked with a dash. == 2-8edo == {| class="wikitable" |+ ! !2 !3 !4 !5 !6 !7 !8 |- !1 | colspan="2" |Father |Malacoda | colspan="2" |Baba | - | - |- !2 |2 |Father (Mother) |Antitonic | rowspan="2" |Father (Mother) |Walid |Mavila (Medusa) |Axirabian |- !3 | |3 |Dicot (Flattie) | - |Dichotic |Father (Mother) |- !4 | | |4 |Bug |Decimal...") Tag: Visual edit
• 01:44, 1 April 2026 Vector talk contribs created page Interval naming (Created page with "An '''interval naming scheme'''") Tag: Visual edit
• 02:33, 29 March 2026 Vector talk contribs created page File:22edo.png
• 02:33, 29 March 2026 Vector talk contribs uploaded File:22edo.png
• 00:58, 29 March 2026 Vector talk contribs created page Talk:159edo (Pre-emptively:: new section)
• 04:27, 28 March 2026 Vector talk contribs created page Temperament naming (Created page with " == Comma declension categories == {| class="wikitable" |+ !Example ! !Short name !Prime limit temp !Prime subgroup temp !Long name |- |''gamelisma, gamelic'' ''mabilisma, mabilic'' ''magisma, magic'' ''ptolemisma, ptolemic'' ''charisma, charic'' |1 | -isma | -ismic | -ic | -ic comma |- |''semaphoresma, semaphore'' ''valinorsma, valinor'' ''buzzardsma, buzzard'' |2 | -sma | -smic | -∅ | - comma |- |''rastma, rastmic'' ''schisma, schismic'' ''kleisma, kleismic'' ''keema...") Tag: Visual edit
• 09:07, 27 March 2026 Vector talk contribs created page Whole tone (Created page with "A whole tone is an interval that is the size of a major second that functions as the large step of a diatonic scale. Whole tones range roughly from 160 to 240 cents, and are preferably closer to 200 cents. Whole tones may be defined to be between ~165 and ~250 cents (1\3edP4 and 1\2edP4), based on the definition of a diatonic tetrachord. Sometimes, the term ''whole tone'' refers specifically to the interval 9/8 (the Pythagorean major second), or to the inte...") Tag: Visual edit
• 08:30, 27 March 2026 Vector talk contribs created page Major second (Redirected page to Second#Major second) Tags: New redirect Visual edit
• 08:29, 27 March 2026 Vector talk contribs created page Whole Tone (Redirected page to Whole tone) Tags: New redirect Visual edit
• 00:48, 27 March 2026 Vector talk contribs created page Tetrachord (Created page with "thumb|376x376px|A map of tetrachord tunings A '''tetrachord''' is some division of the perfect fourth into three parts, creating four distinct notes (hence tetra-). A '''tetrachordal scale''' is a scale constructed by joining two tetrachords with an interval of 9/8 (because 4/3 * 9/8 * 4/3 is an octave), and is resultantly a heptatonic scale (because the unison and octave are equivalent). Often, the additional assumption is made that the two tet...") Tag: Visual edit
• 11:36, 26 March 2026 Vector talk contribs created page File:5edo comparison.png
• 11:36, 26 March 2026 Vector talk contribs uploaded File:5edo comparison.png
• 11:14, 26 March 2026 Vector talk contribs created page File:The swry.png
• 11:14, 26 March 2026 Vector talk contribs uploaded File:The swry.png
• 02:45, 26 March 2026 Vector talk contribs created page 22edo/Edo-distinct rank-2 temperaments (Created page with "{| class="wikitable" |+Full-octave temperaments !Generator !Temperament !Complexity |- |1 |Escapade |9 |- |2 |''(name????)'' | - |- |3 |Porcupine |3 |- |4 |Machine | - |- |5 |Orwell |7 |- |6 |Orgone | - |- |7 |Magic |5 |- |8 |Sentry | - |- |9 |Archy |1 |- |10 |Joan | - |} {| class="wikitable" |+Half-octave temperaments !Generator !Temperament !Complexity |- |1 |Comic |2 |- |2 |Pajara |1 |- |3 |Hedgehog |3 |- |4 |Astrology |5 |- |5 |Doublewide |4 |} == Doubling sequence...") Tag: Visual edit
• 10:39, 23 March 2026 Vector talk contribs created page Well temperament (Created page with "A '''well temperament''' is a scale (formally an irregular temperament) approximating an equal tuning, which has the same average step size as said equal temperament (that is, in general no single note in an equal tuning becomes two different ones in a well temperament). Like musical scales in general, they are generally assumed to be periodic (usually octave-equivalent) unless otherwise specified. Historically, the usage of the term "well temperament" was limited t...") Tag: Visual edit
• 01:04, 22 March 2026 Vector talk contribs moved page Dicot (temperament) to Neutral temperaments
• 02:13, 20 March 2026 Vector talk contribs moved page List of edos by fifth size to User:Vector/List of edos by fifth size
• 02:13, 20 March 2026 Vector talk contribs created page List of edos by fifth size (Created page with "This shows edos up to 94. {| class="wikitable" |+ !EDO !Fifth !Tree complexity !Diatonic scale hardness ! |- |2 | |2 | | |- |11 | |7 | | |- |9 | |6 | | |- |16 | |7 | | |- |23 | |8 | | |- |7 | |5 | | |- |47 | |11 | | |- |40 | |10 | | |- |33 | |9 | | |- |26 | |8 | | |- |45 | |9 | | |- |64 | |10 | | |- |19 | |7 | | |- |88 | |11 | | |- |69 | |10 | | |- |50 | |9 | | |- |81 | |10 | | |- |31 | |8 | | |- |74 | |10 | | |- |43 | |9 | | |- |55 | |10 | | |- |67 | |11 | | |- |79 | |1...") Tag: Visual edit
• 01:56, 19 March 2026 Vector talk contribs created page Unison (Created page with "{{Infobox interval|1/1}} The '''unison''' is the interval that represents no change in pitch. It has the ratio 1/1, or just the number 1, and a cent value of 0 cents. As such, stacking by it does not change any other interval's size. Its monzo is [⟩, which is conventionally written [0⟩. When commas are tempered out, they are reduced to the unison, so that a unison may represent a functional difference in tempered systems. An example is the difference between the au...") Tag: Visual edit
• 04:03, 15 March 2026 Vector talk contribs created page Rastmic (Created page with "'''Rastmic''' or '''neutral''' is the regular temperament [7 & 10] in the 2.3.11 subgroup, equating 11-limit neutral intervals to their "perfect" neutral counterparts. The generator is a neutral third representing both 11/9 and 27/22, therefore it stacks twice to reach 3/2. == Name == ''Rastmic'' may also refer to a rank-4 temperament adding 5 and 7 as independent generators, also systematically called ''rastmatic.''") Tag: Visual edit
• 23:25, 14 March 2026 Vector talk contribs created page Mohajira (Created page with "'''Mohajira''' (24 & 7) is an extension to rastmic (neutral) that is a meantone temperament. In other words, the generator is a neutral third representing 11/9, which stacks twice to a perfect fifth and eight times to the interval 5/1 (octave-reduced: 5/4). Thus, 243/242 and 81/80 are both tempered out. Mohajira, due to its neutral third generator, is a 7 cluster temperament, and its main MOS scale is 3L 4s ("mosh", Ls...") Tag: Visual edit
• 22:28, 10 March 2026 Vector talk contribs created page Pajara (Created page with "Pajara, 22 & 32, is a regular temperament wherein the octave is split into two tritone periods, and the generator is a fifth (3/2). A fifth minus a tritone is 16/15 (diaschismic tempering), and therefore the 5/4 major third is found two generators below the tritone. Pajara makes the further equivalence of 5/4 plus a period to 7/4 (jubilismic tempering) and therefore twice 4/3 is 7/4 (archy tempering). The result is a 10-form system generated by a fifth tuned...") Tag: Visual edit
• 03:01, 8 March 2026 Vector talk contribs created page Vector/diesis (Created page with "{| class="wikitable" |+ !interval !factor !diesis |- |5 | |81/80 |- |7 | |64/63 |- |11 | |33/32 |- |11 | |513216/524288 |- |13 | |1053/1024 |- |17 | |4131/4096 |- |19 | |513/512 |- |23 | |736/729 |- |23 | |16767/16384 |- |29 | |261/256 |- |31 | |32/31 |- |31 | |248/243 |- |37 | |37/36 |- |37 | |1024/999 |- |41 | |82/81 |- |43 | |129/128 |- |47 | |48/47 |- |53 | |54/53 |- |59 | |243/236 |- |61 | |244/243 |- |67 | |16384/16281 |- |71 | |72/71 |- |73 | |73/72 |- |79 | |81/7...") Tag: Visual edit
• 01:22, 8 March 2026 Vector talk contribs created page Sagittal notation (Created page with "'''Sagittal notation''' is a notation designed for just intonation and equal temperaments. It is based on the Pythagorean chain of fifths with alterations, as with many just notation systems, with the key difference that sagittal notation provides inflections for various composite intervals as well as the primes, and has a formal way of notating EDOs beyond just the application of its just notation. ''[TODO: add description]''") Tag: Visual edit
• 01:19, 8 March 2026 Vector talk contribs created page Formal comma (Created page with "A '''formal comma''' is a comma used as an accidental in a just intonation notation system. Usually, there is a single formal comma for each prime, which is in the 2.3.p subgroup for prime p and contains one factor of p, and thus a formal comma serves as an assignment of a prime harmonic to a particular Pythagorean interval. The functional structure of a just intonation notation system essentially comes down to defining a set of formal commas. The 2.3 subgroup here may b...") Tag: Visual edit
• 10:25, 6 March 2026 Vector talk contribs created page Tritave (Redirected page to 3/1) Tags: New redirect Visual edit
• 09:59, 6 March 2026 Vector talk contribs created page Second (Created page with "''For just intervals with a denominator of 2, see 3/2.'' A '''second''' is a step of the 7-form, or an interval that could reasonably span 1 step of the 7-form. They are alongside smaller intervals heard as "steps" rather than "skips" to Western listeners. Seconds comprise whole tones, neutral seconds, and semitones, which may be considered subtypes of second or fully independent interval size/function categories in their own right. This...") Tag: Visual edit
• 22:23, 5 March 2026 Vector talk contribs created page Father (Created page with "'''Father''' is the temperament (a very inaccurate exotemperament) that makes 3:4:5 equidistant, in other words equating 5/4 and 4/3 to a single "fourth-third" interval (which the name 'father' originates from). As a result, it serves as a simplification of 3:4:5-based (naiadic) harmony, in much the same way that dicot simplifies tertian harmony or semaphore simplifies chthonic harmony. Due to tempering out such a large and simple interv...") Tag: Visual edit
• 04:45, 4 March 2026 Vector talk contribs created page File:5555.png
• 04:45, 4 March 2026 Vector talk contribs uploaded File:5555.png
• 04:39, 4 March 2026 Vector talk contribs created page File:C minir.png
• 04:39, 4 March 2026 Vector talk contribs uploaded File:C minir.png
• 04:31, 4 March 2026 Vector talk contribs created page File:Minor.png
• 04:31, 4 March 2026 Vector talk contribs uploaded File:Minor.png
• 01:37, 28 February 2026 Vector talk contribs created page File:List of locking intervals.png
• 01:37, 28 February 2026 Vector talk contribs uploaded File:List of locking intervals.png
• 01:21, 28 February 2026 Vector talk contribs created page List of locking intervals (Created page with "The following is a list of just intervals that are considered to "lock", according to the performer MidnightBlue. It serves as a useful reference for the actual extent of JI's effect on interval perception. 72edo is the smallest edo to make all the necessary categorical distinctions, and 94edo approximates all of these to within a kleisma. ''Italic'' intervals are those that only lock in a higher octave. {| class="wikitable" |+ !Interval !Cents !Notes |- |1/1 |0.00 | |-...") Tag: Visual edit
• 23:51, 27 February 2026 Vector talk contribs moved page Dichotic to Dicot (temperament) (extensions generally shouldn't be on their own pages.)
• 03:18, 25 February 2026 Vector talk contribs created page User:Vector/Various page specs (Created page with "6-sheared and above always use Arabic numerals, not Greek ones. Chain-of-fifths notation (or neutral chain-of-fifths notation, which should always be preferred if available) is deemed *insufficient* and should be excluded if: - any pitch must be labelled with more than a double sharp/flat in any diatonic mode - any interval size must be labelled as more than doubly augmented/diminished, or as sesquiaugmented/diminished - neutral chain-of-fifths notation cannot cover...") Tag: Visual edit
• 11:32, 22 February 2026 Vector talk contribs created page Template:Navbox regtemp (Created page with "<br />{{Navbox | name = Navbox EDO | Title = Regular temperaments | Is Collapsible = true | Header 1 = Rank-2 | Header 2 = Acot | Data 2 = Blackwood (1/5-octave) • Whitewood (1/7-octave) • Compton (1/12-octave) | Header 3 = Monocot | Data 3 = Meantone • Schismic • Archy | Header 4 = Complexity 2 | Data 4 = Injera (diploid monocot) &...")
• 07:10, 22 February 2026 Vector talk contribs created page Solfege (Created page with "Solfege refers to any way of labelling notes with syllables to be sung, and conventionally one that utilizes syllables similar to the conventional ''do-re-mi-fa-so-la-ti'' system for labeling the notes of a heptatonic scale. Fixed solfege for note names is discouraged for xenharmony (the existing body of work generally prefers alphabetic notation); this page primarily discusses movable solfege. == Standard solfege == {| class="wikitable" |+ !Degree (1-indexed) !Solfege...") Tag: Visual edit
• 04:02, 22 February 2026 Vector talk contribs created page Bohlen-Pierce (Created page with "The '''Bohlen-Pierce''' system is a non-octave tuning system of (exact or well-tempered) '''13 equal divisions of the perfect twelfth''' (or tritave). In the Bohlen-Pierce system, the tritave is generally seen as the interval of equivalence, and harmony emphasizes the odd harmonics (such as the chord 3:5:7:9). It is the smallest EDT that has a tuning of lambda, the 9-note scale of the sensamagic temperament (which serves an analogous role to meantone...") Tag: Visual edit
• 03:44, 22 February 2026 Vector talk contribs created page 63edo (Redirected page to 21edo#63edo) Tags: New redirect Visual edit