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02:3502:35, 27 October 2026 Concordance (hist | edit) [2,454 bytes] Ground (talk | contribs) (Created page with "'''Concordance''' (opposed to discordance) is a measure of how well harmonics of different notes in a chord line up. It is often equated to consonance (opposed to dissonance), although consonance is cultural rather than physical. == Conventional models == In order of complexity: * Tenney norm[https://en.xen.wiki/w/Tenney_norm] * Wilson norm[https://en.xen.wiki/w/Wilson_norm] * Harmonic entropy[https://en.xen.wiki/w/Harmonic_entropy] == Harmonic Cross-Beating == {{UTBox...") Tag: Visual edit: Switched

05:0805:08, 26 October 2026 Overview of terminology differences (hist | edit) [2,974 bytes] Vector (talk | contribs) (Created page with "This page serves as a summary of the differences in terminology used by different composers. '''It is not an invitation to add fuel to these debates,''' rather it is a tool to ease communication. == Accidentals across notation systems == === Formal commas === {| class="wikitable" |+ ! colspan="2" rowspan="2" |Accidental !Vector !Ben Johnston !FJS !HEJI ! colspan="2" |Color ! colspan="3" |Sagittal |- !Name !Symbol !Symbol !Symbol !Phonetic coding !Symbol !Name !Phonetic...") Tag: Visual edit

22:2022:20, 23 October 2026 Tuning recommendations for beginners (hist | edit) [17,635 bytes] Ground (talk | contribs) (Created page with "This article is intended to list the optimal tunings for a new xenharmonist to start with. It is recommended to pick one early and focus on it so that tuning theory does not become more important than composition. {{UTBox|g_|Ground|7766ff}} This is my list of the most versatile microtonal tunings, split into two tiers: Absolute best: 19edo, 22edo, 24edo, 31edo, 41edo. Second best: 17edo, 26edo, 27edo, 29edo, 37edo. I intend to...") originally created as "Starter tunings"

11:1011:10, 21 October 2026 XenReference:To-do list (hist | edit) [3,221 bytes] Vector (talk | contribs) (Created page with "== EDOs == Xenharmonic Reference:EDO page skeleton === Satisfactory === * 22edo * 40edo === Needs work === * 5edo (uses old format) * 7edo (uses old format) * '''9edo''' (uses new format, but incomplete) * 10edo (uses old format) * 11edo (uses old format) * 12edo (Do not elaborate as a normal edo page. Use the 12edo page to explain how xenharmonic theory describes conventional musical concepts.) * 13edo (uses idiosyncratic format) * 14edo (uses old format) * 15ed...") Tag: Visual edit originally created as "To-do list"

06:5506:55, 14 October 2026 Tempering stability (hist | edit) [3,111 bytes] Vector (talk | contribs) (Created page with "'''Tuning stability''' is, in a sense, the sensitivity of an interval to the detuning of the primes relative to its simplicity. It is distinct from other harmonic senses of "stability". Very unstable intervals usually have large powers of 3 in them (such as 9 or 27), while very stable intervals usually have mostly higher and more distinct primes in them. In specific, an interval with multiple of the same prime in it is less stable than an interval with multiple simil...") Tag: Visual edit originally created as "Tuning stability"

03:2403:24, 1 October 2026 List of commas (hist | edit) [6,778 bytes] Vector (talk | contribs) (Created page with "This is a list of small intervals separating just intonation intervals in the 63-odd-limit. == 5-limit == === 31-odd-limit (commas < 50c) === {| class="wikitable" !Name !S-expression !Simplest interval pair !Ratio !Cents !Associated temperaments and other notes |- |syntonic comma |S9 |9/8 ~ 10/9 |81/80 |21.5c |Meantone. Formal comma for 5-limit. |- |augmented diesis | |25/24 ~ 16/15 |128/125 |41.1c |Augmented (temperament) |- |porcupine comma | |27/25 ~ 10/...") Tag: Visual edit

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...")

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...")

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...")

20:2120:21, 3 August 2026 Voice (hist | edit) [2,259 bytes] Vector (talk | contribs) (Created page with "thumb|406x406px|Three voices highlighted in a piano roll. Note that while it looks like four voices, from a theory perspective the lowest two melodies are in parallel octaves, so they are merged into a single voice. A '''voice''' is a single melodic line in a polyphonic song, which is usually played by a single specific instrument in an ensemble. Voices often take the form of different monophonic instruments, meaning that the voice structure is nat...") Tag: Visual edit

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

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