45edo: Difference between revisions
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{{Infobox ET | {{Infobox ET}} | ||
{{ED intro}} | |||
}} | |||
== Theory == | |||
45edo effectively has two approximate [[5/4]] major thirds, each almost equally far from just, but the flat one is slightly closer. Combined with a [[3/2|perfect fifth]] 8.6 cents flat of just, it can be used as a [[meantone]] tuning, forming a good approximation to [[2/5-comma meantone]] (in fact falling into the [[flattone]] range). It is a flat-tending system in the [[7-limit]], with harmonics [[3/1|3]], [[5/1|5]], and [[7/1|7]] all flat. However, harmonics [[11/1|11]] and [[13/1|13]] are sharp, but this can be fixed with the 45ef val. | |||
=== Odd harmonics === | |||
{{Harmonics in equal|45}} | |||
{| class="wikitable center- | === As a tuning of other temperaments === | ||
It tempers out [[81/80]], [[525/512]], [[875/864]], and [[3125/3087]] in the 7-limit, and [[45/44]] in the [[11-limit]]. It provides the [[optimal patent val]] for 7- and 11-limit flattone temperament, and the 45f val is an excellent tuning for [[13-limit]] flattone. It also provides the optimal patent val for the 7-limit rank-3 [[avicennmic]] temperament, [[tempering out]] [[525/512]], the 11-limit [[calliope]] temperament, tempering out [[45/44]] and [[81/80]], and the rank-4 temperament tempering out 45/44. It is also the unique equal temperament tuning whose [[patent val]] tempers out both the syntonic comma and the [[ennealimma]]. | |||
45edo tempers out the [[quartisma]] and provides an excellent tuning for the 2.7/3.33-subgroup [[The Quartercache #Direct quartismic|direct quartismic]] temperament, in which it approximates the [[33/32]] quartertone with 2 steps and [[7/6]] with 10 steps. A bit more broadly, it maps the 2.27.25.63.33.65.17 subgroup to great precision; this is the part of the [[17-limit]] shared with [[270edo]]. | |||
Otherwise, it can be treated as a 2.5/3.7/3-subgroup system (borrowing 5/3 from [[15edo]] and 7/3 from [[9edo]]) and is a good tuning for [[gariberttet]], defined by tempering out [[3125/3087]] in this subgroup, approximating 2/5-comma gariberttet. | |||
=== Subsets and supersets === | |||
Since 45 factors into primes as {{nowrap| 3<sup>2</sup> × 5 }}, 45edo has subset edos {{EDOs| 3, 5, 9, and 15 }}. [[135edo]], which triples it, corrects its primes 3, 7, and 11 to near-just qualities, and 270edo offers even more. | |||
== Intervals == | |||
{| class="wikitable center-1 right-2 center-5 center-6" | |||
|- | |||
! # | |||
! Cents | |||
! Approximate ratios* | |||
! colspan="4" | [[Ups and downs notation]] | |||
|- | |||
| 0 | |||
| 0.0 | |||
| [[1/1]] | |||
| Perfect Unison | |||
| P1 | |||
| D | |||
|- | |||
| 1 | |||
| 26.7 | |||
| [[49/48]], [[50/49]] | |||
| Up unison | |||
| ^1 | |||
| ^D | |||
|- | |||
| 2 | |||
| 53.3 | |||
| [[36/35]], ''[[25/24]]'', ''[[64/63]]'' | |||
| Augmented Unison | |||
| A1 | |||
| D# | |||
|- | |||
| 3 | |||
| 80.0 | |||
| [[21/20]] | |||
| Diminished 2nd | |||
| d2 | |||
| Ebb | |||
|- | |||
| 4 | |||
| 106.7 | |||
| [[15/14]] | |||
| Downminor 2nd | |||
| vm2 | |||
| vEb | |||
|- | |||
| 5 | |||
| 133.3 | |||
| [[13/12]], [[14/13]], [[27/25]], ''[[16/15]]'' | |||
| Minor 2nd | |||
| m2 | |||
| Eb | |||
|- | |||
| 6 | |||
| 160.0 | |||
| [[54/49]] | |||
| Mid 2nd | |||
| ~2 | |||
| vE | |||
|- | |||
| 7 | |||
| 186.7 | |||
| [[10/9]], ''[[9/8]]'' | |||
| Major 2nd | |||
| M2 | |||
| E | |||
|- | |||
| 8 | |||
| 213.3 | |||
| | |||
| Upmajor 2nd | |||
| ^M2 | |||
| ^E | |||
|- | |||
| 9 | |||
| 240.0 | |||
| [[8/7]], [[15/13]] | |||
| Augmented 2nd | |||
| A2 | |||
| E# | |||
|- | |||
| 10 | |||
| 266.7 | |||
| [[7/6]] | |||
| Diminished 3rd | |||
| d3 | |||
| Fb | |||
|- | |||
| 11 | |||
| 293.3 | |||
| [[25/21]] | |||
| Downminor 3rd | |||
| vm3 | |||
| vF | |||
|- | |||
| 12 | |||
| 320.0 | |||
| [[6/5]] | |||
| Minor 3rd | |||
| m3 | |||
| F | |||
|- | |||
| 13 | |||
| 346.7 | |||
| [[49/40]], [[60/49]] | |||
| Mid 3rd | |||
| ~3 | |||
| ^F | |||
|- | |||
| 14 | |||
| 373.3 | |||
| [[5/4]], [[26/21]], ''[[16/13]]'' | |||
| Major 3rd | |||
| M3 | |||
| F# | |||
|- | |||
| 15 | |||
| 400.0 | |||
| [[63/50]] | |||
| Upmajor 3rd | |||
| ^M3 | |||
| ^F# | |||
|- | |||
| 16 | |||
| 426.7 | |||
| [[9/7]] | |||
| Augmented 3rd | |||
| A3 | |||
| Fx | |||
|- | |||
| 17 | |||
| 453.3 | |||
| [[13/10]], ''[[21/16]]'' | |||
| Diminished 4th | |||
| d4 | |||
| Gb | |||
|- | |||
| 18 | |||
| 480.0 | |||
| ''[[64/49]]'' | |||
| Down 4th | |||
| v4 | |||
| vG | |||
|- | |||
| 19 | |||
| 506.7 | |||
| [[4/3]] | |||
| Perfect 4th | |||
| P4 | |||
| G | |||
|- | |||
| 20 | |||
| 533.3 | |||
| [[49/36]] | |||
| Up 4th or Mid 4th | |||
| ^4, ~4 | |||
| ^G | |||
|- | |||
| 21 | |||
| 560.0 | |||
| [[18/13]] | |||
| Augmented 4th | |||
| A4 | |||
| G# | |||
|- | |||
| 22 | |||
| 586.7 | |||
| [[7/5]] | |||
| Upaugmented 4th | |||
| ^A4 | |||
| ^G# | |||
|- | |- | ||
| | | 23 | ||
| | | 613.3 | ||
| | | [[10/7]] | ||
| | | Downdiminshed 5th | ||
| | | vd5 | ||
| vAb | |||
|- | |- | ||
| | | 24 | ||
| | | 640.0 | ||
| [[13/9]] | |||
| | | Diminished 5th | ||
| | | d5 | ||
| | | Ab | ||
| | |||
|- | |- | ||
| | | 25 | ||
| | | 666.7 | ||
| | | [[72/49]] | ||
| | | Down 5th or Mid 5th | ||
| | | v5, ~5 | ||
| | | vA | ||
|- | |- | ||
| 26 | |||
|26 | | 693.3 | ||
| | | [[3/2]] | ||
| Perfect 5th | |||
| | | P5 | ||
| | | A | ||
| | |||
| | |||
|- | |- | ||
| | | 27 | ||
| | | 720.0 | ||
| | | ''[[49/32]]'' | ||
| | | Up 5th | ||
| ^5 | |||
| ^A | |||
| | |||
| | |||
|- | |- | ||
| | | 28 | ||
| | | 746.7 | ||
| | | [[20/13]], ''[[32/21]]'' | ||
| | | Augmented 5th | ||
| A5 | |||
| A# | |||
| | |||
| | |||
|- | |- | ||
| | | 29 | ||
| | | 773.3 | ||
| | | [[14/9]] | ||
| | | Diminished 6th | ||
| d6 | |||
| Bbb | |||
| | |||
| | |||
|- | |- | ||
| | | 30 | ||
| | | 800.0 | ||
| [[100/63]] | |||
| Downminor 6th | |||
| | | vm6 | ||
| | | vBb | ||
| | |||
| | |||
|- | |- | ||
| | | 31 | ||
| | | 826.7 | ||
| [[8/5]], [[21/13]], ''[[13/8]]'' | |||
| Minor 6th | |||
| | | m6 | ||
| | | Bb | ||
| | |||
| | |||
|- | |- | ||
| | | 32 | ||
| | | 853.3 | ||
| | | [[49/30]], [[80/49]] | ||
| | | Mid 6th | ||
| ~6 | |||
| vB | |||
| | |||
| | |||
|- | |- | ||
| | | 33 | ||
| | | 880.0 | ||
| | | [[5/3]] | ||
| | | Major 6th | ||
| M6 | |||
| B | |||
| | |||
| | |||
|- | |- | ||
| | | 34 | ||
| | | 906.7 | ||
| [[42/25]] | |||
| | | Upmajor 6th | ||
| ^M6 | |||
| | | ^B | ||
| | |||
| | |||
|- | |- | ||
| | | 35 | ||
| | | 933.3 | ||
|7 | | [[12/7]] | ||
| Augmented 6th | |||
| A6 | |||
| | | B# | ||
| | |||
| | |||
|- | |- | ||
| | | 36 | ||
| | | 960.0 | ||
| [[7/4]], [[26/15]] | |||
| Diminished 7th | |||
| | | d7 | ||
| | | Cb | ||
| | |||
| | |||
|- | |- | ||
| | | 37 | ||
| | | 986.7 | ||
| | | | ||
| | | Downminor 7th | ||
| vm7 | |||
| vC | |||
|- | |||
| 38 | |||
| 1013.3 | |||
| [[9/5]], ''[[16/9]]'' | |||
| Minor 7th | |||
| m7 | |||
| C | |||
|- | |||
| 39 | |||
| 1040.0 | |||
| [[49/27]] | |||
| Mid 7th | |||
| ~7 | |||
| ^C | |||
|- | |||
| 40 | |||
| 1066.7 | |||
| [[13/7]], [[24/13]], [[50/27]], ''[[15/8]]'' | |||
| Major 7th | |||
| M7 | |||
| C# | |||
|- | |||
| 41 | |||
| 1093.3 | |||
| [[28/15]] | |||
| Upmajor 7th | |||
| ^M7 | |||
| ^C# | |||
|- | |||
| 42 | |||
| 1120.0 | |||
| [[40/21]] | |||
| Augmented 7th | |||
| A7 | |||
| Cx | |||
|- | |||
| 43 | |||
| 1146.7 | |||
| [[35/18]], ''[[48/25]]'', ''[[63/32]]'' | |||
| Diminished 8ve | |||
| d8 | |||
| Db | |||
|- | |- | ||
| | | 44 | ||
| | | 1173.3 | ||
| | | [[49/25]], [[96/49]] | ||
| | | Down 8ve | ||
| v8 | |||
| vD | |||
| | |||
| | |||
|- | |- | ||
| | | 45 | ||
| | | 1200.0 | ||
|5 | | [[2/1]] | ||
| | | Perfect Octave | ||
|< | | P8 | ||
| | | D | ||
| | |} | ||
| | <nowiki/>* As a 2.3.5.7.13-subgroup temperament, using the 45f val | ||
== Notation == | |||
=== Ups and downs notation === | |||
Spoken as up, sharp, upsharp, etc. Note that up can be respelled as downsharp. | |||
{{Ups and downs sharpness}} | |||
=== Quarter-tone notation === | |||
Since a sharp raises by two steps, [[24edo#Notation|quarter-tone accidentals]] can also be used. | |||
{{sharpness-sharp2}} | |||
=== Sagittal notation === | |||
This notation uses the same sagittal sequence as EDOs [[52edo#Sagittal notation|52]] and [[59edo#Second-best fifth notation|59b]]. | |||
==== Evo flavor ==== | |||
<imagemap> | |||
File:45-EDO_Evo_Sagittal.svg | |||
desc none | |||
rect 80 0 300 50 [[Sagittal_notation]] | |||
rect 300 0 543 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation] | |||
rect 20 80 140 106 [[36/35]] | |||
rect 140 80 300 106 [[1053/1024]] | |||
default [[File:45-EDO_Evo_Sagittal.svg]] | |||
</imagemap> | |||
==== Revo flavor ==== | |||
<imagemap> | |||
File:45-EDO_Revo_Sagittal.svg | |||
desc none | |||
rect 80 0 300 50 [[Sagittal_notation]] | |||
rect 300 0 543 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation] | |||
rect 20 80 140 106 [[36/35]] | |||
rect 140 80 300 106 [[1053/1024]] | |||
default [[File:45-EDO_Revo_Sagittal.svg]] | |||
</imagemap> | |||
==== Evo-SZ flavor ==== | |||
<imagemap> | |||
File:45-EDO_Evo-SZ_Sagittal.svg | |||
desc none | |||
rect 80 0 300 50 [[Sagittal_notation]] | |||
rect 300 0 511 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation] | |||
rect 20 80 140 106 [[36/35]] | |||
rect 140 80 300 106 [[1053/1024]] | |||
default [[File:45-EDO_Evo-SZ_Sagittal.svg]] | |||
</imagemap> | |||
Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is also a Stein-Zimmerman notation. | |||
In the following diagrams, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this EDO. | |||
== Approximation to JI== | |||
=== Interval mappings === | |||
{{Q-odd-limit intervals|45}}{{Q-odd-limit intervals|44.9|apx=val|header=none|tag=none|title=15-odd-limit intervals by 45ef val mapping}} | |||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
|- | |- | ||
| | ! rowspan="2" | [[Subgroup]] | ||
| | ! rowspan="2" | [[Comma list]] | ||
| | ! rowspan="2" | [[Mapping]] | ||
| | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
| | ! colspan="2" | Tuning error | ||
|- | |- | ||
| | ! [[TE error|Absolute]] (¢) | ||
| | ! [[TE simple badness|Relative]] (%) | ||
|- | |- | ||
| | | 2.3 | ||
| | | {{Monzo| -71 45 }} | ||
| | | {{Mapping| 45 71 }} | ||
| | | +2.72 | ||
| | | 2.73 | ||
| | | 10.2 | ||
|- | |- | ||
| | | 2.3.5 | ||
| | | 81/80, {{monzo| -27 1 11 }} | ||
| | | {{Mapping| 45 71 104 }} | ||
| | | +3.68 | ||
| | | 2.61 | ||
| | | 9.75 | ||
|- | |- | ||
| | | 2.3.5.7 | ||
| | | 81/80, 525/512, 2401/2400 | ||
| | | {{Mapping| 45 71 104 126 }} | ||
| | | +3.55 | ||
|8. | | 2.27 | ||
| 8.49 | |||
|- | |- | ||
| | | 2.3.5.7.13 | ||
| | | 65/64, 81/80, 105/104, 2401/2400 | ||
| | | {{Mapping| 45 71 104 126 166 }} (45f) | ||
| | | +3.59 | ||
| | | 2.03 | ||
| | | 7.60 | ||
| | |} | ||
| | |||
=== Commas === | |||
This is a partial list of the [[commas]] that 45et [[tempering out|tempers out]] with its [[patent val]], {{val| 45 71 104 126 143 156 167 }}. | |||
{| class="commatable wikitable center-1 center-2 right-4 center-5" | |||
|- | |- | ||
| | ! [[Harmonic limit|Prime<br>limit]] | ||
! [[Ratio]]<ref group="note">{{rd}}</ref> | |||
! [[Monzo]] | |||
! [[Cent]]s | |||
! [[Color name]] | |||
! Name(s) | |||
|- | |- | ||
| | | 5 | ||
| | | [[81/80]] | ||
| | | {{Monzo| -4 4 -1 }} | ||
| | | 21.51 | ||
| | | Gu | ||
| Syntonic comma, Didymus' comma, meantone comma | |||
| | |||
| | |||
|- | |- | ||
| | | 5 | ||
| <abbr title="7629394531250/7625597484987">(26 digits)</abbr> | |||
| {{Monzo| 1 -27 18 }} | |||
| 0.86 | |||
|< | | Satritribiyo | ||
| | | [[Ennealimma]] | ||
| | |||
| | |||
|- | |- | ||
| | | 7 | ||
| | | [[16807/16384]] | ||
| | | {{Monzo| -14 0 0 5 }} | ||
| | | 44.13 | ||
| | | Laquinzo | ||
| Cloudy comma | |||
| | |||
| | |||
|- | |- | ||
| | | 7 | ||
| | | [[525/512]] | ||
| | | {{Monzo| -9 1 2 1 }} | ||
| | | 43.41 | ||
| | | Lazoyoyo | ||
| Avicennma, Avicenna's enharmonic diesis | |||
| | |||
| | |||
|- | |- | ||
| | | 7 | ||
| | | [[875/864]] | ||
| 3 | | {{Monzo| -5 -3 3 1 }} | ||
| | | 21.90 | ||
| Zotrigu | |||
| Keema | |||
| | |||
| | |||
|- | |- | ||
| | | 7 | ||
| | | [[3125/3087]] | ||
| | | {{Monzo| 0 -2 5 -3 }} | ||
| 21.18 | |||
| | | Triru-aquinyo | ||
| Gariboh comma | |||
| | |||
|- | |- | ||
| | | 7 | ||
| | | <abbr title="40353607/40310784">(16 digits)</abbr> | ||
| | | {{Monzo| -11 -9 0 9 }} | ||
| | | 1.84 | ||
| | | Tritrizo | ||
| [[Septimal ennealimma]] | |||
| | |||
| | |||
|- | |- | ||
| | | 7 | ||
| | | [[4375/4374]] | ||
| | | {{Monzo| -1 -7 4 1 }} | ||
| | | 0.40 | ||
| Zoquadyo | |||
| Ragisma | |||
| | |||
| | |||
|- | |- | ||
| | | 11 | ||
| | | [[45/44]] | ||
| | | {{Monzo| -2 2 1 0 -1 }} | ||
| | | 38.91 | ||
| Luyo | |||
| | | Undecimal 1/5-tone | ||
| | |||
|- | |- | ||
| | | 11 | ||
| | | [[385/384]] | ||
| | | {{Monzo| -7 -1 1 1 1 }} | ||
| | | 4.50 | ||
| Lozoyo | |||
| Keenanisma | |||
| | |||
| | |||
|- | |- | ||
| | | 11 | ||
| <abbr title="117440512/117406179">(18 digits)</abbr> | |||
| | | {{Monzo| 24 -6 0 1 -5 }} | ||
| | | 0.51 | ||
|0. | | Saquinlu-azo | ||
| | | [[Quartisma]] | ||
| | |} | ||
| | <references group="note" /> | ||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |- | ||
! Periods<br>per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br>ratio* | |||
! Temperament | |||
|- | |- | ||
| | | 1 | ||
| | | 1\45 | ||
| | | 26.7 | ||
| 49/48 | |||
| [[Sfourth]] | |||
| | |||
| | |||
|- | |- | ||
| | | 1 | ||
| 2\45 | |||
| | | 53.3 | ||
| | | 36/35 | ||
| [[Chromo]] | |||
| | |||
| | |||
|- | |- | ||
| | | 1 | ||
| 7\45 | |||
| 186.7 | |||
| | | 10/9 | ||
| | | [[Mintone]] | ||
| | |||
|- | |- | ||
| | | 1 | ||
| | | 11\45 | ||
| | | 293.3 | ||
| 25/21 | |||
| | | [[Quasitemp]] | ||
| | |||
|- | |- | ||
| | | 1 | ||
| | | 14\45 | ||
| | | 373.3 | ||
| 5/4 | |||
| | | [[Submerged]] | ||
| | |||
|- | |- | ||
| | | 1 | ||
| | | 16\45 | ||
| | | 426.7 | ||
| 9/7 | |||
| [[Squares]] | |||
| | |||
| | |||
|- | |- | ||
| | | 1 | ||
| | | 23\45 | ||
| | | 453.3 | ||
| 13/10 | |||
| | | [[Maja]] | ||
| | |||
|- | |- | ||
| | | 1 | ||
| 19\45 | |||
| | | 506.7 | ||
| | | 4/3 | ||
| [[Flattone]] | |||
| | |||
| | |||
|- | |- | ||
| | | 3 | ||
| | | 19\45<br>(4\45) | ||
| | | 506.7<br>(106.7) | ||
| 4/3<br>(15/14) | |||
| [[Lithium]] | |||
| | |||
| | |||
|- | |- | ||
| | | 5 | ||
| | | 19\45<br>(1\45) | ||
| | | 506.7<br>(26.7) | ||
| 4/3<br>(49/48) | |||
|< | | [[Cloudtone]] | ||
| | |||
|- | |- | ||
| | | 9 | ||
| | | 12\45<br>(2\45) | ||
| 320.0<br>(53.3) | |||
| | | 6/5<br>(36/35) | ||
| [[Ennealimmal]] | |||
| | |||
| | |||
|- | |- | ||
| | | 15 | ||
| | | 19\45<br>(1\45) | ||
| 506.7<br>(26.7) | |||
| | | 4/3<br>(126/125) | ||
| [[Pentadecal]] | |||
| | |||
| | |||
|} | |} | ||
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | |||
== Octave stretch and compression == | |||
45edo's approximations of 3/1, 5/1, 7/1, 11/1 and 13/1 and 17/1 are all improved by a [[Octave stretch|stretched-octave]] version of 45edo, such as [[ed12|161ed12]] or [[ed6|116ed6]]. The trade-off is a slightly worse 2/1. [[207zpi]] also improves on all of those harmonics except for 17/1. | |||
The tuning [[equal tuning|183ed17]] may also be used, it improves 3/1, 5/1, 7/1, 11/1, 13/1 ''and'' 17/1 (with different mappings for many) but at the cost of a noticeably worse 2/1 than the others. | |||
== Scales == | |||
* [[Cloudtone]][10] - recommended by [[Maeve Gutierrez]]: 8 1 8 1 8 1 8 1 8 1 | |||
* [[JUMBLE]]'s "moment of chaos scale": 3 9 6 1 4 7 2 5 8 (used in several works including [https://www.youtube.com/watch?v=WqEOi4cd1Og ''Archipelago Arpeggio''] and [https://www.youtube.com/watch?v=4iwJFVIWEII ''FERAL (45edo microtonal ambient track)'']) | |||
* 13-tone 5&9edo scale: 5 4 1 5 3 2 5 2 3 5 1 4 5 | |||
* 12-tone 5&9edo scale{{idio}}: 5 4 1 5 3 2 5 2 3 5 5 5 | |||
== Instruments == | |||
'''Lumatone''' | |||
See [[Lumatone mapping for 45edo]] | |||
== Music == | |||
; [[Bryan Deister]] | |||
* [https://www.youtube.com/shorts/33tKBiWZvXM ''(short clip) Fantasy in 45edo''] (2025) | |||
* [https://www.youtube.com/watch?v=Xblr-4aGBtM ''<nowiki>Twin Arrows [45edo]</nowiki>''] (2026) | |||
; [[JUMBLE]] | |||
* [https://www.youtube.com/watch?v=tbc_OxHp-ec ''Fishbowl''] (2023) | |||
* [https://www.youtube.com/watch?v=WqEOi4cd1Og ''Archipelago Arpeggio''] (2024) | |||
* [https://www.youtube.com/watch?v=Kd4t_iKiKMA ''Fallen Angel''] (2024) | |||
* [https://www.youtube.com/watch?v=DPztb8W6ykY ''Solar Guardian''] (2024) | |||
* [https://www.youtube.com/watch?v=24gnhAbHtiw ''Qúchze úzeq Qávka''] (2025) | |||
* [https://www.youtube.com/watch?v=K2p7HOI3TUE ''Sodium Light (45edo Microtonal Chillwave)''] (2026) | |||
* [https://www.youtube.com/watch?v=ex9WfmWVibY ''Yēú Zee Kiidhai (45edo microtonal ambient)''] (2026) | |||
* [https://www.youtube.com/watch?v=4iwJFVIWEII ''FERAL (45edo microtonal ambient track)''] (2026) | |||
* [https://www.youtube.com/watch?v=cXZ3RkTDE-I ''Chmelui-Múzeq - Haoýoze (45edo Microtonal Ambient)''] (2026) | |||
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[[Category:Meantone]] | [[Category:Meantone]] | ||
[[Category:Ennealimmal]] | |||
[[Category:Quartismic]] | |||
[[Category:Listen]] | |||
[[Category:Todo:add rank 2 temperaments table]] | |||