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• 01:41, 8 February 2026 Vector talk contribs created page File:Diatonic scales high-rank.png
• 01:41, 8 February 2026 Vector talk contribs uploaded File:Diatonic scales high-rank.png
• 01:34, 8 February 2026 Vector talk contribs created page File:MOS diatonic.png
• 01:34, 8 February 2026 Vector talk contribs uploaded File:MOS diatonic.png
• 01:28, 8 February 2026 Vector talk contribs created page File:Piano.png
• 01:28, 8 February 2026 Vector talk contribs uploaded File:Piano.png
• 01:22, 8 February 2026 Vector talk contribs created page File:Valentine.png
• 01:22, 8 February 2026 Vector talk contribs uploaded File:Valentine.png
• 01:10, 8 February 2026 Vector talk contribs created page File:5-lim.png
• 01:10, 8 February 2026 Vector talk contribs uploaded File:5-lim.png
• 00:58, 8 February 2026 Vector talk contribs created page File:Cross-set pajara.png
• 00:58, 8 February 2026 Vector talk contribs uploaded File:Cross-set pajara.png
• 00:49, 8 February 2026 Vector talk contribs created page File:Meantone.png
• 00:49, 8 February 2026 Vector talk contribs uploaded File:Meantone.png
• 00:37, 8 February 2026 Vector talk contribs created page File:72 image.png
• 00:37, 8 February 2026 Vector talk contribs uploaded File:72 image.png
• 00:04, 8 February 2026 Vector talk contribs created page File:29edo.png
• 00:04, 8 February 2026 Vector talk contribs uploaded File:29edo.png
• 23:51, 7 February 2026 Vector talk contribs created page File:Circle of fifths.png
• 23:51, 7 February 2026 Vector talk contribs uploaded File:Circle of fifths.png
• 23:48, 7 February 2026 Vector talk contribs created page 34edo (Created page with "thumb|377x377px|The structure of 34edo, visualized. 34edo is the equal tuning system which splits the octave into 34 equal steps, of about (1200/34) ~= 35.3 cents each. It is a 5-limit and 2.3.5.13 system with a number of melodically intuitive structures. == Derivation == === From doubling 17edo === One can observe that 17edo's step is a nearly perfectly tuned 25/24, and also that 5/4 and 6/5 are almost exactly halfway in-between notes of 17edo...") Tag: Visual edit
• 23:48, 7 February 2026 Vector talk contribs created page File:34edo chart.png
• 23:48, 7 February 2026 Vector talk contribs uploaded File:34edo chart.png
• 00:39, 7 February 2026 Vector talk contribs created page Vector's temperament accuracy metric (Created page with "{{Technical}} To determine rank-2 temperament accuracy, one approach is to examine each tuning of the temperament where one prime (other than the equave) is tuned just (in this article, we will refer to this interval as the ''eigenmonzo'' - for example, 5 is the eigenmonzo for quarter-comma meantone because that tuning tunes 5 just by setting the generator to 5^(1/4)), and observe how it detunes the rest of the intervals. == The formula == <math>\frac{\operatorname{abs...") Tag: Visual edit
• 08:55, 31 January 2026 Vector talk contribs created page File:Qetqbnx.png
• 08:55, 31 January 2026 Vector talk contribs uploaded File:Qetqbnx.png
• 08:54, 31 January 2026 Vector talk contribs created page File:Equipent and hept.png
• 08:54, 31 January 2026 Vector talk contribs uploaded File:Equipent and hept.png
• 19:09, 24 January 2026 Vector talk contribs created page 3/1 (Created page with "3/1, the '''tritave''' or '''perfect twelfth''', is the second most common equave after 2/1. In octave-equivalent systems, it is a fifth plus an octave, and can thus be seen as one of the two generators of Pythagorean tuning. It can be seen as the most consonant interval after the octave, which is the reason for its usage as an equave in systems such as Bohlen-Pierce tuning. Tritave-equivalent systems tend to avoid prime 2, only involving ratios between odd numb...") Tag: Visual edit
• 23:09, 23 January 2026 Vector talk contribs moved page Talk:Vector's interval naming scheme to User talk:Vector/Vector's interval naming scheme
• 23:09, 23 January 2026 Vector talk contribs moved page Vector's interval naming scheme to User:Vector/Vector's interval naming scheme
• 03:23, 22 January 2026 Vector talk contribs created page File:Wedgediagramn.png
• 03:23, 22 January 2026 Vector talk contribs uploaded File:Wedgediagramn.png
• 03:22, 22 January 2026 Vector talk contribs created page File:Wedge.png
• 03:22, 22 January 2026 Vector talk contribs uploaded File:Wedge.png
• 19:49, 21 January 2026 Vector talk contribs created page User:Vector/Wedgie (Created page with "The '''wedgie''' of a regular temperament is a mathematical object that uniquely characterizes the temperament independently of choice of generator or equave. A wedgie takes the form ⟨⟨…⟨ ''w''₁ ''w''₂ … ''w_n'' ]]…], with ''n'' entries listed in between multiple val brackets (double brackets for rank-2, triple brackets for rank-3, and so on). Each element conveys information about the structure of a set of primes in the te...") Tag: Visual edit
• 00:55, 21 January 2026 Vector talk contribs created page Carlos Alpha (Created page with "'''Carlos Alpha''' is a tuning system conceptualized as a chain of steps between a 15edo and 16edo semitone in size, which reach a fifth after nine steps, 5/4 after five steps, and 8/7 after three steps. Originally, Carlos Alpha was conceptualized as multiple of these chains offset by octaves, but is also often used as a non-octave tuning system. In regular temperament theory, Carlos Alpha corresponds to the '''valentine'...") Tag: Visual edit
• 07:03, 17 January 2026 Vector talk contribs created page 5/4 (Redirected page to List of just intonation intervals#5-limit) Tags: New redirect Visual edit
• 07:01, 17 January 2026 Vector talk contribs created page Octave (Created page with "{{Infobox interval|2/1|Name=octave}} The '''octave''' is the most consonant interval, with a ratio of 2/1 and a size of 1200 cents by definition. It is the most common interval of equivalence, as patterns of consonance often roughly repeat at octaves up or down. Additionally, most scales repeat at an octave or a logarithmic fraction thereof. The octave is also useful as a measure of logarithmic size of intervals.") Tag: Visual edit
• 06:51, 17 January 2026 Vector talk contribs created page 2/1 (Redirected page to Octave) Tags: New redirect Visual edit
• 10:35, 15 January 2026 Vector talk contribs created page User:Vector/Vector's chord names (Created page with "all interval qualities "cascade" to any following intervals until another quality is specified. (Major and minor fifths and fourths both evaluate to perfect, and if "perfect" is specified then it does not cascade and major or minor must be specified for following intervals.) Then, the final note in the chain of thirds (if not already specified), then any additions and alterations (which are always specified with interval qualities, not accidentals, and can always be reco...") Tag: Visual edit
• 10:09, 15 January 2026 Vector talk contribs created page Modified ups and downs notation (Redirected page to Diatonic notation) Tags: New redirect Visual edit
• 02:28, 14 January 2026 Vector talk contribs moved page Adaptive diatonic interval names to Adaptive diatonic interval names/Archived version
• 07:39, 12 January 2026 Vector talk contribs created page List of interval regions (Created page with "This is a list of interval regions within the octave according to an altered version of Margo Schulter's categorization scheme. [WIP] {| class="wikitable" |+ ! colspan="2" |Region name !Range !Important just intervals !Temperaments !MOSes |- | colspan="2" |Unison |0c (singleton) |1/1 | - | - |- | colspan="2" |Comma | | | | |- | colspan="2" |Diesis | | | | |- | rowspan="3" |Minor second |Subminor | | | | |- |Farminor | | | | |- |Nearminor | | | | |- | rowspan="3" |Neutra...") Tag: Visual edit
• 23:02, 10 January 2026 Vector talk contribs created page 16edo (Created page with "'''16edo''' is the tuning which divides the octave into 16 equal parts of 75 cents each. It is notable for its antidiatonic scale. == Tuning theory == === Edostep interpretations === In the 2.5.7.13.19 subgroup, 16edo's edostep, the '''eka''', represents the following intervals: * 20/19, the difference between 19/16 and 5/4 * 133/128, the difference between 8/7 and 19/16 * 26/25, the difference between 5/4 and 13/10 * 169/160, the difference between 13/10 and 16/13 *...") Tag: Visual edit
• 09:38, 8 January 2026 Vector talk contribs created page File:HarmonicTable15.png
• 09:38, 8 January 2026 Vector talk contribs uploaded File:HarmonicTable15.png
• 03:08, 6 January 2026 Vector talk contribs created page Just intonation (Created page with "'''Just intonation''' is the set of intervals corresponding to frequency ratios between whole numbers, and the approach to musical tuning which utilizes exclusively such intervals. Just intonation can be described in terms of the harmonic series (which is the set of tones at integer multiples of a fundamental frequency), where all just intervals can be found between notes in the harmonic series. Particularly low-complexity just intervals tend to be perceived as consonant...") Tag: Visual edit
• 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