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31 August 2026

  • 01:3601:36, 31 August 2026 Levels of tempering (hist | edit) [1,438 bytes] Ground (talk | contribs) (Created page with "{{proposed}} '''Levels of tempering''' is a system of categorizing musicians based on how they interpret different intervals. It is intended to allow people to avoid repetitive arguments such as "is 400¢ a 5/4?" by identifying the base assumptions that allow answers to be different. The proposal by User:Ground for some abbreviations, avoiding those commonly seen in a xenharmonic context like MT for meantone and ET for equal temperament: # '''D: Direct'''. All rati...")

28 August 2026

  • 02:1702:17, 28 August 2026 Diaschismic straddle temperaments (hist | edit) [6,257 bytes] Ground (talk | contribs) (Created page with "{{proposed}} {{stub}} Diaschismic tempers out 2048/2025 = 2/((9/8)(5/4))^2. Normally the subgroup is interpreted as 2.3.5, but 2.9.5 is also possible. This provides a great opportunity for straddling 3, where flat 3 (3/a in SRTT) and sharp 3 (3a) cancel out to make 9. Of the Diaschismic extensions to the 7-limit, Septimal Diaschismic tempers out 126/125, another 2.9.5.7 comma, and Pajara uses the sharp 3, tempering out 64/(3a*7) = 64/63 a^-1. Th...")

13 August 2026

  • 05:4205:42, 13 August 2026 Hemiseven (hist | edit) [3,204 bytes] Ground (talk | contribs) (Created page with "'''Hemiseven''' is a temperament generated by a very sharp diatonic fifth, with 6 of them mapped to prime 3. This generator is very close to sqrt(16/7), equivalent to sqrt(7), hence the name. It is traditionally considered to be at least 7-limit 72 & 77, but may more broadly be interpreted as a 2.3.7.{5.13.17} temperament (meaning it has a good 13/5, 17/5, and 17/13) also called '''Island Slendric'''. It it notable for being present in most edos containing generators for...")

3 August 2026

2 August 2026

  • 06:3506:35, 2 August 2026 86edo (hist | edit) [10,222 bytes] Ground (talk | contribs) (Created page with "{| class="wikitable" |+Intervals in selected erac subroups in 86edo (x3 for <3.>3) !Step !Cents !2.x3.x5.x7.x11 81-odd-limit, max 3 eracs !2.x3.x5.x7.x11.13.x17.x19.23.29.31.37 37-odd-limit, max 1 erac |- |86 |1200.000 |2/1 |2/1 |- |85 |1186.047 |>>>96/49 >>>160/81 >>49/25 >63/32 | |- |84 |1172.093 |>96/49 >160/81 49/25 <63/32 | |- |83 |1158.140 |>>>48/25 <96/49 <160/81 >>27/14 >>35/18 <<49/25 <<<63/32 |72/37 >68/35 >33/17 >37/19 |- |82 |1144.186 |>48/25 <<<96/49 <<<160/...") Tag: Visual edit

26 July 2026

  • 05:2005:20, 26 July 2026 Straddle cluster temperaments (hist | edit) [4,970 bytes] Ground (talk | contribs) (Created page with "{{proposed}} '''Paddle''', short for "Passion straddle", is a 2.-3.+3.5.7 straddle version of Passion. It is especially useful for generating the aberration scale '''trackdye''' (5L2m8s), along with a straddle variant of Undecimation. It may be extended with Pentagoth. {| class="wikitable" |+Tuning range from 2\25 to 1\12, edos under 100 ! rowspan="2" | ! !<nowiki>¦|</nowiki> !¦ !<nowiki>¦|</nowiki> !<nowiki>|</nowiki> !<nowiki>¦|</nowiki> !...") Tag: Visual edit: Switched originally created as "Paddle"

25 July 2026

  • 16:1916:19, 25 July 2026 Monarch (hist | edit) [9,648 bytes] Ground (talk | contribs) (Created page with "'''Archtone''' is a rank-3 Straddle primes temperament tempering out 64/63[+3] and 81/80[-3] in the 2.-3.+3.5.7 subgroup. The name comes from Archy and Meantone, the two temperaments combined to make Archtone. They are linearly independent, but extensions and erac tunings make use of combining the two tunings of 3. The name may also be read with the arch- prefix, implying that this is a tonality of greater scope or importance. {{UserTag|g_|Ground|7766ff|110edo is ap...") originally created as "Archtone"

24 July 2026

  • 04:4504:45, 24 July 2026 9edo (hist | edit) [3,704 bytes] CompactStar (talk | contribs) (Created page with "{{stub}} UNDER CONSTRUCTION '''Xedo''', or X equal divisions of the octave (sometimes called '''X-TET''' or '''X-tone equal temperament'''), is the equal tuning featuring steps of (1200/X) = Y cents exactly, X of which stack to the perfect octave 2/1. [Overview of tuning properties for key intervals] == General theory == === Derivation === [Derivation by equal division of various key intervals or of interval qualities] === JI app...") Tag: Visual edit: Switched

19 July 2026

  • 06:4606:46, 19 July 2026 Xenharmonic Reference:EDO page skeleton (hist | edit) [2,946 bytes] Vector (talk | contribs) (Created page with "This page is to be used as a template for making EDO pages. '''Xedo''', or X equal divisions of the octave (sometimes called '''X-TET''' or '''X-tone equal temperament'''), is the equal tuning featuring steps of (1200/X) = Y cents exactly, X of which stack to the perfect octave 2/1. [Overview of tuning properties for key intervals] == General theory == === Derivation === [Derivation by equal division of various key intervals or of...") Tag: Visual edit originally created as "EDO page skeleton"

12 July 2026

  • 00:2800:28, 12 July 2026 Intergan (hist | edit) [8,619 bytes] Ground (talk | contribs) (Created page with "'''Intergan''' is a set of temperaments related to 24edo semiquartal. The term is short for "interseptimal Ganassi, after 12edo's 2.3.17.19 Ganassi temperament. It seeks to cover all of the notable concordances generated by a meantone-range semifourth. * The most basic version is 2.3.11.13/5.17.19 5&24. 22/17 is equated to 13/10 and 22/19 is equated to 15/13. It contains the 16:19:22 sub-diminished triad. * Tempering out 81/80 is somewhat obvious, resulting in 2.3.5.11....") Tag: Visual edit: Switched

8 July 2026

  • 00:4700:47, 8 July 2026 Hedgehog (hist | edit) [1,089 bytes] Ground (talk | contribs) (Created page with "Conventionally, '''Hedgehog''' tempers out Jubilisma 50/49, splitting the octave in half into a tritone representing both 7/5 and 10/7, and the Sensamagic comma 245/243, equating a stack of two 9/7s with 5/3. If the subgroup is reduced to just 2.3.7, it tempers out the Stearnsma 118098/117649, resulting in a much more accurate temperament that can be extended in other ways. {{UserTag|g_|Ground|7766ff|The 2.3.7 temperament is extremely useful in virtually any even ed...")

7 July 2026

  • 02:3702:37, 7 July 2026 Hibernal (hist | edit) [2,752 bytes] Ground (talk | contribs) (Created page with "'''Hibernal''' is a set of temperaments based on stacking a 25/21 minor third and 19/15 major third. 25 and 15 are both divisible by 5, resulting in 63:75:95, which is also delta-rational +3+5. The name is the adjective form of "winter" after the 32edo song that uses it extensively, Winter's Mortal Hope. {{UserTag|g_|Ground|7766ff|I used Hibernal in 32edo for a while because I loved the melodic properties of its blackdye, without knowing why it sounded more concordant t...") Tag: Visual edit: Switched

5 July 2026

3 July 2026

  • 23:2823:28, 3 July 2026 Ground's composition theory (hist | edit) [50,859 bytes] Ground (talk | contribs) (Created page with "{{problematic}} I'm User:Ground. This document is going to be very long. Obviously it isn't done. I have more content to add and a need to revise the existing content. Don't expect it to make the most sense yet. My music has had a distinctively shifting key center since about 2018. Even in 12edo, my simultaneous regard and disregard for tonality may be confusing. This article is an attempt to explain how it works, with an emphasis on my other theories, Aberrisma|...")

16 June 2026

14 June 2026

  • 23:2523:25, 14 June 2026 Tcherepnin (hist | edit) [8,321 bytes] Unque (talk | contribs) (Created page with "The '''Tcherepnin''' scale, or ''3L 6s'', is a common structural scale which repeats at one third of the octave; as such, it is often associated with the augmented temperament which splits the octave into three major thirds. The scale is named after the music theorist Alexander Tcherepnin, who utilized its 12edo tuning to create a double-tonal sound with two different types of thirds; the pattern was also noted by Olivier Messiaen, who listed...") Tag: Visual edit

6 June 2026

  • 22:4222:42, 6 June 2026 Pentagoth (hist | edit) [13,298 bytes] Ground (talk | contribs) (Created page with "''This portion of the page was written from the perspective of User:Ground. This is a new format being tested and the article is incomplete.'' I've always been interested in the 2.5.7 subgroup and its extensions. Prime 3 is so central to how we tend to understand harmony that removing it is always interesting, and 5 and 7 are the next two simplest, thus the best alternatives to create a new harmonic system. Here's a list of some of the best temperaments with their...")
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