29edo: Difference between revisions
→21st century: Add Bryan Deister's ''29edo improv'' (2026) |
Contribution (talk | contribs) →Approximation to JI: The proposed update graphic highlights 29edo’s strengths in practical harmony. The previous graphic’s full 15-odd-limit coverage was visually dense and made these strengths harder to identify. A more focused selection improves readability and better represents the interval relationships most useful for composing and playing in 29edo. |
||
| (7 intermediate revisions by 3 users not shown) | |||
| Line 524: | Line 524: | ||
== Approximation to JI == | == Approximation to JI == | ||
[[File:29ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.| | === Selected 13-limit intervals === | ||
[[File:29ed2-002.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|29edo’s strengths in the 13-limit, using an odd-limit of 45 and a 5.7-cent error threshold. Pythagorean thirds and 5-odd-limit intervals are also included for reference, even where they exceed this threshold.]] | |||
=== Interval mappings === | === Interval mappings === | ||
| Line 984: | Line 985: | ||
* [[Blackdye]] / [[syntonic dipentatonic]]: 1 4 3 4 1 4 3 4 1 4 | * [[Blackdye]] / [[syntonic dipentatonic]]: 1 4 3 4 1 4 3 4 1 4 | ||
* [[Blackville]] / [[Marvel dipentatonic]]: 2 3 4 3 2 3 4 3 2 3] | * [[Blackville]] / [[Marvel dipentatonic]]: 2 3 4 3 2 3 4 3 2 3] | ||
* Baobab{{idio}} (approximated from [[30afdo]]): 8 4 5 4 4 4 | |||
== Chords == | |||
29edo offers an excellent approximation of the 10:11:13:14:15 chord, whose intervals above the root are 11/10, 13/10, 7/5, and 3/2. Mapped to 0–4–11–14–17, this chord can be repeated indefinitely at successive fifths. Its utonal counterpart, 1/(15:14:13:11:10), has intervals of 15/14, 15/13, 15/11, and 3/2 above the root and is mapped to 0–3–6–13–17. | |||
The [[12L 5s]] MOS scale, in the rotation 2 2 1 2 2 2 1 2 2 1 2 2 1 2 2 2 1, provides a useful framework for exploring this chord though successive transpositions by a fifth. It accommodates four successive statements of the 10:11:13:14 core, each transposed up a tempered fifth (3/2) from the preceding one. | |||
== Instruments == | == Instruments == | ||
| Line 1,026: | Line 1,033: | ||
* [https://www.youtube.com/shorts/NYN8EBllJkE ''A Cyber's World''] via ''{{W|Deltarune}} Chapter 2'' (2021) – microtonal cover in 29edo by [[Bryan Deister]] (2023) | * [https://www.youtube.com/shorts/NYN8EBllJkE ''A Cyber's World''] via ''{{W|Deltarune}} Chapter 2'' (2021) – microtonal cover in 29edo by [[Bryan Deister]] (2023) | ||
* [https://www.youtube.com/watch?v=JOqnRPIOb5o ''Dialtone''] via ''{{W|Deltarune}} Chapter 2'' (2021) – microtonal cover in 29edo by [[Bryan Deister]] (2024) | * [https://www.youtube.com/watch?v=JOqnRPIOb5o ''Dialtone''] via ''{{W|Deltarune}} Chapter 2'' (2021) – microtonal cover in 29edo by [[Bryan Deister]] (2024) | ||
; {{W|Erroll Garner}} | |||
* [https://www.youtube.com/shorts/dqEXdB28hZo ''Misty''] (1954) – microtonal cover in 29edo by [[Bryan Deister]] (2026) | |||
; {{W|Bart Howard}} | ; {{W|Bart Howard}} | ||
| Line 1,053: | Line 1,063: | ||
* [https://www.youtube.com/shorts/SH5IQOi33Oo ''29edo groove''] (2025) | * [https://www.youtube.com/shorts/SH5IQOi33Oo ''29edo groove''] (2025) | ||
* [https://www.youtube.com/shorts/PuaNvxX11II ''an idea in 29edo''] (2026) | * [https://www.youtube.com/shorts/PuaNvxX11II ''an idea in 29edo''] (2026) | ||
* [https://www.youtube.com/shorts/DNIBJtiuPKU ''29edo improv''] (2026) | * [https://www.youtube.com/shorts/DNIBJtiuPKU ''29edo improv''] (2026-07-04) | ||
* [https://www.youtube.com/shorts/u8TmaFaEC74 ''29edo improv''] (2026-08-30) | |||
; [[duckapus]] | ; [[duckapus]] | ||