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From Xenharmonic Reference
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- ...raments]]. It exists to compile information on a number of just intonation intervals. |+(MOS) diatonic intervals ...24 KB (1,292 words) - 21:07, 24 April 2026
- The following are common '''arithmetic operations on musical intervals'''. If you're unfamiliar with the operations, you're encouraged to verify t Stacking two intervals feels perceptually like ''adding'' two distances, but it corresponds to ''m ...7 KB (1,041 words) - 01:54, 9 February 2026
- [[File:List of locking intervals.png|thumb|521x521px|The set of locking intervals (94edo tuning)]] The following is a list of just intervals that are considered to "lock", according to the performer MidnightBlue. It ...2 KB (179 words) - 01:45, 28 February 2026
- == Intervals of 22edo == ...is the chromatic semitone of 22edo, separating MOSdiatonic major and minor intervals from one another. It is larger than the diatonic semitone, which is differe ...30 KB (4,656 words) - 04:24, 17 May 2026
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- ...nterval. This comes at the expense of less freedom in approximating target intervals. It also encourages a less structured approach to composition where pitch s ...he pelog scale. It contains approximations to many [[Prime limit|7-limit]] intervals, but not the [[7/4]] itself (see erac group). ...24 KB (3,048 words) - 14:53, 30 July 2026
- ...12edo, 11edo does not include a fifth; however, 22edo's approximations to intervals of 7, 9, 11, 15, and 17 come from 11edo. ...], although many [[11-limit]] intervals are not distinguished from 5-limit intervals (e.g. [[11/9]] is mapped to the same interval as 6/5), as well as the 17th. ...94 KB (13,710 words) - 06:41, 19 July 2026
- ...ratios that can be expressed as rational numbers, and the set of rational intervals (and tuning systems that make exclusive use of them) is called ''just inton While concordance is limited to a small set of intervals such as 2/1, 3/2 (the perfect fifth), 4/3 (the perfect fourth), and often 5 ...31 KB (4,960 words) - 04:25, 26 April 2026
- ...l. ''bases'') for a [[#JI group|JI group]], or similar group, is a list of intervals called ''generators'' such that: # anything in the group can be written as a stack of intervals of the basis or their inverses (possibly with repetition). ...33 KB (5,038 words) - 00:49, 26 June 2026
- ...ot a notation system, because it provides no way to write notes and labels intervals based on "what they are", not "what they do". (The creator of the ADIN syst ...ambiguity where "major" could either refer to specifically classical major intervals or more generally to any major interval. This is especially egregious as in ...14 KB (2,111 words) - 21:30, 4 July 2026
- Intervals: '''Unison - Perfect Fourth - Perfect Fifth, Unison - Major Second - Perfec Intervals: '''Unison - Ultramajor Third - Perfect Fifth''' ...12 KB (1,600 words) - 22:06, 24 May 2026
- ...and some of the more common types. Note that this does not cover [[Naming#Intervals|interval naming]] systems with no notational counterpart. Notation systems ...tation; however, as this wiki focuses on xenharmony (that is, non-standard intervals), any way of naming and notating pitches (and optionally chords) is general ...14 KB (2,147 words) - 07:25, 30 April 2026
- ...than 2.3.23, or 2.3.5 blackdye having a smaller offset than 2.3.17/7. The intervals affected by the offset, usually thirds and sixths, differ microtonally when Straddling intervals that are stacked the most (usually 3/2) introduce a third axis that can be ...28 KB (4,152 words) - 06:48, 31 July 2026
- == Intervals == Here is a table of 15edo's intervals: ...19 KB (2,704 words) - 03:24, 15 May 2026
- ''For just intervals with a denominator of 2, see [[3/2]].'' ...hat 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 ...11 KB (1,383 words) - 10:01, 6 March 2026
- ...is nearly [[equiheptatonic]], with a [[hardness]] of 6:5; major and minor intervals of the scale differ by only 30{{c}}. In particular, the major third of the ...hich Orwell connects together remarkably well, and most of whose important intervals are available within the 9-note [[MOS]], [[4L 5s]] - most notably 40edo's a ...23 KB (3,072 words) - 18:36, 26 May 2026
- ...comes from, and is why odd-limits are used as a complexity measure for JI intervals. The 5-odd-limit is equivalent to the intervals considered to be consonant by Zarlino, constructed from the numbers 1, 2, 3 ...6 KB (961 words) - 18:19, 21 June 2026
- ...ent Greek musicians considered the usage of low-complexity just intonation intervals as the primary way of tuning music. ...e a sense of intimacy and resolution by the inclusion of exceedingly small intervals in specific places. Vicentino gives little elaboration on what precisely i ...27 KB (4,178 words) - 16:09, 29 July 2026
- == Intervals of 22edo == ...is the chromatic semitone of 22edo, separating MOSdiatonic major and minor intervals from one another. It is larger than the diatonic semitone, which is differe ...30 KB (4,656 words) - 04:24, 17 May 2026
- ..., and at every three steps further are all of the standard fifth-generated intervals. For the remaining steps, a single pair of inflections suffices: "up"/"down ...of fifths]] so that "up" and "down" also comprise the /5 and 5/ classes of intervals, while Mothra maps 5 directly onto the chain of fifths. Each of these provi ...22 KB (2,782 words) - 02:14, 2 June 2026
- == Step 1: Identify central intervals == ...the "central intervals" for each category. These are the diatonic neutral intervals, which may be between edosteps, ...8 KB (1,275 words) - 02:28, 14 January 2026
- ...much of xenharmonic tuning theory tends to be built around just intonation intervals as tuning targets, as they are often easy to recognize by ear and tune to. ...not, for instance, 9/7. High-complexity [[Pythagorean tuning|Pythagorean]] intervals were generally considered separately.) ...4 KB (513 words) - 17:25, 2 April 2026
- ...ervals it detunes significantly, such as 10/9, can be seen as "connective" intervals rather than distinct harmonic identities, with the notable exception of 11/ === Notation and intervals === ...22 KB (2,984 words) - 15:20, 6 June 2026
- ...uning mirrors the structure of the [[chain of fifths]]. Simple Pythagorean intervals include 3/2, 9/8, 32/27, 81/64, and their octave complements. == Intervals of Pythagorean diatonic == ...8 KB (1,149 words) - 20:21, 21 April 2026
- ...oup in which 10edo is of notable accuracy is 2.7.13.15; in particular, the intervals 16/13 and [[15/14]] are approximated within 0.6{{c}}. === Intervals and notation === ...7 KB (943 words) - 21:00, 26 February 2026
