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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{interwiki
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| de = 46-EDO
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-12-10 21:10:05 UTC</tt>.<br>
| en = 46edo
: The original revision id was <tt>187270287</tt>.<br>
| es =
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| ja =
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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<h4>Original Wikitext content:</h4>
{{Infobox ET}}
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=&lt;span style="color: #300094; font-size: 111%;"&gt;46 tone equal temperament&lt;/span&gt;=
{{ED intro}}


The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the octave into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 cents, an interval close in size to 66/65, the interval from 13/11 to 6/5.
== Theory ==
In the opinion of some, 46edo is the first equal division to deal adequately with the [[13-limit]], though others award that distinction to [[41edo]] or [[53edo]]. 46edo's fifth is slightly sharp of just, which some people (e.g. [[Margo Schulter]]) prefer, sometimes strongly, over both the [[3/2|just fifth]] and fifths of temperaments with flat fifths, such as meantone. Many say that sharp fifths give a characteristic bright sound to 5-limit triads, and consider the sound of meantone triads to be more mellow in comparison. 46edo is not a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak edo]], but it is a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta gap edo]]. It is distinctly [[consistent]] in the [[9-odd-limit]], and it is consistent to the [[13-odd-limit]] or the no-15 no-19 [[23-odd-limit]].


46et tempers out 507/500, 91/90, 686/675, 2048/2025, 121/120, 245/243, 126/125, 169/168, 176/175, 896/891, 196/195, 1029/1024, 5120/5103, 385/384, and 441/440 among other intervals, with varied consequences it would take a very long article to describe. Rank two temperaments it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The 11-limit [[Target tunings|minimax]] tuning for [[Starling family|valentine temperament]], (11/7)^(1/10), is only 0.01 cents flat of 3/46 octaves. In the opinion of some 46et is the first equal division to deal adequately with the 13-limit, though others award that distinction to [[41edo]].
46edo is also notable for being the smallest equal division to approximate harmonics 3, 5, 7, 11, and 13 with less than 25% [[relative interval error]].


The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the just fifth and fifths of temperaments with flat fifths, such as meantone. It gives a characteristic bright sound to triads, distinct from the mellowness of a meantone triad.
[[Rank-2 temperament]]s it [[support]]s include [[sensi]], [[valentine]], [[shrutar]], [[rodan]], [[leapday]], and [[unidec]]. The [[11-odd-limit]] [[minimax tuning]] for valentine, (11/7)<sup>1/10</sup>, is only 0.01 cents flat of 3\46 octaves.  


==46edo srutis==
[[Magic22 as srutis #Shrutar.5B22.5D_as_srutis|Shrutar22 as srutis]] describes a possible use of 46edo for [[Indian]] music.
[[Magic22 as srutis#shrutar22assrutis|Shrutar22 as srutis]] describes a possible use of 46edo for [[Indian]] music.


==Music==  
=== Prime harmonics ===
[[http://www.archive.org/details/Chromosounds|Chromosounds]]
{{Harmonics in equal|46|columns=9}}
[[http://www.archive.org/details/MusicForYourEars|Music For Your Ears]]</pre></div>
{{Harmonics in equal|46|columns=9|start=10|collapsed=true|title=Approximation of prime harmonics in 46edo (continued)}}
<h4>Original HTML content:</h4>
 
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;46edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x46 tone equal temperament"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;span style="color: #300094; font-size: 111%;"&gt;46 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
=== Subsets and supersets ===
&lt;br /&gt;
46edo can be treated as two circles of [[23edo]] separated by an interval of 26.087 cents.
The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the octave into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 cents, an interval close in size to 66/65, the interval from 13/11 to 6/5.&lt;br /&gt;
 
&lt;br /&gt;
== Intervals ==
46et tempers out 507/500, 91/90, 686/675, 2048/2025, 121/120, 245/243, 126/125, 169/168, 176/175, 896/891, 196/195, 1029/1024, 5120/5103, 385/384, and 441/440 among other intervals, with varied consequences it would take a very long article to describe. Rank two temperaments it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The 11-limit &lt;a class="wiki_link" href="/Target%20tunings"&gt;minimax&lt;/a&gt; tuning for &lt;a class="wiki_link" href="/Starling%20family"&gt;valentine temperament&lt;/a&gt;, (11/7)^(1/10), is only 0.01 cents flat of 3/46 octaves. In the opinion of some 46et is the first equal division to deal adequately with the 13-limit, though others award that distinction to &lt;a class="wiki_link" href="/41edo"&gt;41edo&lt;/a&gt;.&lt;br /&gt;
{| class="wikitable center-all right-2 left-3 left-4 left-7"
&lt;br /&gt;
|-
The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the just fifth and fifths of temperaments with flat fifths, such as meantone. It gives a characteristic bright sound to triads, distinct from the mellowness of a meantone triad.&lt;br /&gt;
! &#35;
&lt;br /&gt;
! Cents
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x46 tone equal temperament-46edo srutis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;46edo srutis&lt;/h2&gt;
! Approximate ratios<ref name="interval ratios" group="note">{{sg|limit=2.3.5.7.11.13.17.23&nbsp;subgroup}} However, ratios of 15 are not included here, as except for 15/8 and 16/15 themselves 46edo has intervals involving the 15th harmonic poorly approximated in general. This is because, while the 3rd and 5th harmonics are sharp and their deviations from just intonation add up, 7, 11, and 13 are all tuned flat, making the difference even larger. This prevents it from being [[consistent]] in the [[15-odd-limit]], as there is a discrepancy approximating [[15/13]] and [[26/15]]&mdash;9\46 is closer to 15/13 by a hair, but 10\46 represents the difference between 46edo's 15/8 and 13/8 and is more likely to appear in chords actually functioning as 15/13.</ref>
&lt;a class="wiki_link" href="/Magic22%20as%20srutis#shrutar22assrutis"&gt;Shrutar22 as srutis&lt;/a&gt; describes a possible use of 46edo for &lt;a class="wiki_link" href="/Indian"&gt;Indian&lt;/a&gt; music.&lt;br /&gt;
! colspan="3" | [[Ups and downs notation]]
&lt;br /&gt;
([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>5</sup>A1 and ^^d2)
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x46 tone equal temperament-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Music&lt;/h2&gt;
! colspan="3" | [[SKULO interval names|SKULO notation]] (K or S = 1, U = 2)
&lt;a class="wiki_link_ext" href="http://www.archive.org/details/Chromosounds" rel="nofollow"&gt;Chromosounds&lt;/a&gt;&lt;br /&gt;
! colspan="2" | [[Solfege]]
&lt;a class="wiki_link_ext" href="http://www.archive.org/details/MusicForYourEars" rel="nofollow"&gt;Music For Your Ears&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
|-
| 0
| 0.0
| [[1/1]]
| perfect unison
| P1
| D
| Perfect unison
| P1
| D
| da
| do
|-
| 1
| 26.1
| [[81/80]], [[64/63]], [[49/48]]
| up unison
| ^1
| ^D
| comma-wide unison, <br>super unison
| K1, S1
| KD, SD
| du
| di
|-
| 2
| 52.2
| [[28/27]], [[36/35]], [[33/32]]
| downminor 2nd
| vm2
| vEb
| subminor 2nd, uber unison
| sm2, U1
| sEb, UD
| fro
| ro
|-
| 3
| 78.3
| [[25/24]], [[21/20]], [[22/21]], [[24/23]], [[23/22]]
| minor 2nd
| m2
| Eb
| minor 2nd, <br>classic augmented unison
| m2, kkA1
| Eb, kkD#
| fra
| rih
|-
| 4
| 104.3
| [[16/15]], [[17/16]], [[18/17]]
| upminor 2nd
| ^m2
| ^Eb
| classic minor 2nd, <br>comma-narrow aug unison
| Km2, kA1
| KEb, kD#
| fru
| ra
|-
| 5
| 130.4
| [[13/12]], [[14/13]], [[15/14]]
| dupminor 2nd
| ^^m2
| ^^Eb
| lesser neutral second, augmented unison
| n2, A1
| UEb, D#
| fri
| ru<ref name="intervals2" group="note">/u/ as in s'''u'''praminor</ref>
|-
| 6
| 156.5
| [[12/11]], [[11/10]], [[23/21]]
| dudmajor 2nd
| vvM2
| vvE
| greater neutral second, <br>super aug unison
| N2, sA1
| uE, sD#
| ri
| ruh<ref name="intervals3" group="note">/ʌ/ as in s'''u'''bmajor</ref>
|-
| 7
| 182.6
| [[10/9]]
| downmajor 2nd
| vM2
| vE
| classic/comma-narrow major 2nd
| kM2
| kE
| ro
| reh
|-
| 8
| 208.7
| [[9/8]]
| major 2nd
| M2
| E
| major 2nd
| M2
| E
| ra
| re
|-
| 9
| 234.8
| [[8/7]], [[23/20]]
| upmajor 2nd
| ^M2
| ^E
| supermajor 2nd
| SM2
| SE
| ru
| ri
|-
| 10
| 260.9
| [[7/6]]
| downminor 3rd
| vm3
| vF
| subminor 3rd
| sm3
| sF
| no
| ma
|-
| 11
| 287.0
| [[13/11]], [[20/17]]
| minor 3rd
| m3
| F
| minor 3rd
| m3
| F
| na
| meh
|-
| 12
| 313.0
| [[6/5]]
| upminor 3rd
| ^m3
| ^F
| classic minor 3rd
| Km3
| KF
| nu
| me
|-
| 13
| 339.1
| [[11/9]], [[17/14]], [[28/23]]
| dupminor 3rd
| ^^m3
| ^^F
| lesser neutral 3rd
| n3
| UF
| ni
| mu<ref name="intervals2" group="note" />
|-
| 14
| 365.2
| [[16/13]], [[26/21]], [[21/17]]
| dudmajor 3rd
| vvM3
| vvF#
| greater neutral 3rd
| N3
| uF#
| mi
| muh<ref name="intervals3" group="note" />
|-
| 15
| 391.3
| [[5/4]]
| downmajor 3rd
| vM3
| vF#
| classic major 3rd
| kM3
| kF#
| mo
| mi
|-
| 16
| 417.4
| [[14/11]], [[23/18]]
| major 3rd
| M3
| F#
| major 3rd
| M3
| F#
| ma
| maa
|-
| 17
| 443.5
| [[9/7]], [[13/10]], [[22/17]]
| upmajor 3rd
| ^M3
| ^F#
| supermajor 3rd
| SM3
| SF#
| mu
| mo
|-
| 18
| 469.6
| [[21/16]], [[17/13]]
| down 4th
| v4
| vG
| sub 4th
| s4
| sG
| fo
| fe
|-
| 19
| 495.7
| [[4/3]]
| perfect 4th
| P4
| G
| perfect 4th
| P4
| G
| fa
| fa
|-
| 20
| 521.7
| [[27/20]], [[23/17]]
| up 4th
| ^4
| ^G
| comma-wide 4th
| K4
| KG
| fu
| fih
|-
| 21
| 547.8
| [[11/8]]
| dup 4th
| ^^4
| ^^G
| uber 4th, sub diminished 5th
| U4, sd5
| UG, sAb
| fi/sho
| fu
|-
| 22
| 573.9
| [[7/5]], [[18/13]], [[32/23]]
| dudaug 4th, <br>dim 5th
| vvA4, d5
| vvG#, Ab
| classic augmented 4th, diminished 5th
| kkA4, d5
| kkG#, Ab
| pi/sha
| fi
|-
| 23
| 600.0
| [[17/12]], [[24/17]]
| downaug 4th, updim 5th
| vA4, ^d5
| vG#, ^Ab
| comma-narrow aug 4th, <br>comma-wide dim 5th
| kA4, Kd5
| kG#, KAb
| po/shu
| seh
|-
| 24
| 626.1
| [[10/7]], [[13/9]], [[23/16]]
| aug 4th, dupdim 5th
| A4, ^^d5
| G#, ^^Ab
| augmented 4th, <br>classic diminished 5th
| A4, KKd5
| G#, KKAb
| pa/shi
| se
|-
| 25
| 652.2
| [[16/11]]
| dud 5th
| vv5
| vvA
| super augmented 4th, <br>unter 5th
| SA4, u5
| SG#, uA
| pu/si
| su
|-
| 26
| 678.3
| [[40/27]], [[34/23]]
| down 5th
| v5
| vA
| comma-narrow 5th
| k5
| kA
| so
| sih
|-
| 27
| 704.3
| [[3/2]]
| perfect 5th
| P5
| A
| perfect 5th
| P5
| A
| sa
| sol
|-
| 28
| 730.4
| [[32/21]], [[26/17]]
| up 5th
| ^5
| ^A
| super 5th
| S5
| SA
| su
| si
|-
| 29
| 756.5
| [[14/9]], [[20/13]], [[17/11]]
| downminor 6th
| vm6
| vBb
| subminor 6th
| sm6
| sBb
| flo
| lo
|-
| 30
| 782.6
| [[11/7]]
| minor 6th
| m6
| Bb
| minor 6th
| m6
| Bb
| fla
| leh
|-
| 31
| 808.7
| [[8/5]]
| upminor 6th
| ^m6
| ^Bb
| classic minor 6th
| Km6
| KBb
| flu
| le
|-
| 32
| 834.8
| [[13/8]], [[21/13]], [[34/21]]
| dupminor 6th
| ^^m6
| ^^Bb
| lesser neutral 6th
| n6
| UBb
| fli
| lu<ref name="intervals2" group="note" />
|-
| 33
| 860.9
| [[18/11]], [[28/17]], [[23/14]]
| dudmajor 6th
| vvM6
| vvB
| greater neutral 6th
| N6
| uB
| li
| luh<ref name="intervals3" group="note" />
|-
| 34
| 887.0
| [[5/3]]
| downmajor 6th
| vM6
| vB
| classic major 6th
| kM6
| kB
| lo
| la
|-
| 35
| 913.0
| [[22/13]], [[17/10]]
| major 6th
| M6
| B
| major 6th
| M6
| B
| la
| laa
|-
| 36
| 939.1
| [[12/7]]
| upmajor 6th
| ^M6
| ^B
| supermajor 6th
| SM6
| SB
| lu
| li
|-
| 37
| 965.2
| [[7/4]], [[40/23]]
| downminor 7th
| vm7
| vC
| subminor 7th
| sm7
| sC
| tho
| ta
|-
| 38
| 991.3
| [[16/9]], [[23/13]]
| minor 7th
| m7
| C
| minor 7th
| m7
| C
| tha
| teh
|-
| 39
| 1017.4
| [[9/5]]
| upminor 7th
| ^m7
| ^C
| classic/comma-wide minor 7th
| Km7
| KC
| thu
| te
|-
| 40
| 1043.5
| [[11/6]], [[20/11]], [[42/23]]
| dupminor 7th
| ^^m7
| ^^C
| lesser neutral 7th, sub diminished 8ve
| n7, sd8
| UC, sDb
| thi
| tu<ref name="intervals2" group="note" />
|-
| 41
| 1069.6
| [[24/13]], [[13/7]], [[28/15]]
| dudmajor 7th
| vvM7
| vvC#
| greater neutral 7th,
diminished 8ve
| N7, d8
| uC#, Db
| ti
| tuh<ref name="intervals3" group="note" />
|-
| 42
| 1095.7
| [[15/8]], [[32/17]], [[17/9]]
| downmajor 7th
| vM7
| vC#
| classic major 7th,
comma-wide dim 8ve
| kM7, Kd8
| kC#, KDb
| to
| ti
|-
| 43
| 1121.7
| [[48/25]], [[40/21]], [[21/11]], [[23/12]], [[44/23]]
| major 7th
| M7
| C#
| major 7th, <br>classic diminished 8ve
| M7, KKd8
| C#, KKDb
| ta
| taa
|-
| 44
| 1147.8
| [[27/14]], [[35/18]], [[64/33]]
| upmajor 7th
| ^M7
| ^C#
| supermajor 7th, unter 8ve
| SM7, u8
| SC#, uD
| tu
| to
|-
| 45
| 1173.9
| [[160/81]], [[63/32]], [[96/49]]
| down 8ve
| v8
| vD
| comma-narrow 8ve, sub 8ve
| k8/s8
| kD, sD
| do
| da
|-
| 46
| 1200.0
| [[2/1]]
| perfect 8ve
| P8
| D
| perfect 8ve
| P8
| D
| da
| do
|}
 
=== Interval quality and chord names in color notation ===
Combining ups and downs notation with [[color notation]], qualities can be loosely associated with colors:
 
{| class="wikitable center-all"
|-
! Quality
! Color
! Monzo Format
! Examples
|-
| downminor
| zo
| [a, b, 0, 1>
| 7/6, 7/4
|-
| minor
| fourthward wa
| [a, b>, b &lt; −1
| 32/27, 16/9
|-
| upminor
| gu
| [a, b, −1>
| 6/5, 9/5
|-
| dupminor
| ilo
| [a, b, 0, 0, 1>
| 11/9, 11/6
|-
| dudmajor
| lu
| [a, b, 0, 0, −1>
| 12/11, 18/11
|-
| downmajor
| yo
| [a, b, 1>
| 5/4, 5/3
|-
| major
| fifthward wa
| [a, b>, b &gt; 1
| 9/8, 27/16
|-
| upmajor
| ru
| [a, b, 0, −1>
| 9/7, 12/7
|}
All 46edo chords can be named using ups and downs. Alterations are always enclosed in parentheses, additions never are. Ups or downs immediately after the chord root affect the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13). Here are the zo, gu, ilo, lu, yo and ru triads:
 
{| class="wikitable center-all"
|-
! Color of the 3rd
! JI Chord
! Notes as Edosteps
! Notes of C Chord
! Written Name
! Spoken Name
|-
| zo
| 6:7:9
| 0–10–27
| C vEb G
| Cvm
| C downminor
|-
| gu
| 10:12:15
| 0–12–27
| C ^Eb G
| C^m
| C upminor
|-
| ilo
| 18:22:27
| 0–13–27
| C ^^Eb G
| C^^m
| C dupminor
|-
| lu
| 22:27:33
| 0–14–27
| C vvE G
| Cvv
| C dudmajor or C dud
|-
| yo
| 4:5:6
| 0–15–27
| C vE G
| Cv
| C downmajor or C down
|-
| ru
| 14:18:21
| 0–17–27
| C ^E G
| C^
| C upmajor or C up
|}
For a more complete list, see [[Ups and downs notation #Chords and chord progressions]].
 
== Notation ==
=== Ups and downs notation ===
46edo can be notated with [[ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down).
{{Sharpness-sharp5a}}
Another notation uses [[Alternative symbols for ups and downs notation#Sharp-5|alternative ups and downs]]. Here, this can be done using sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]:
{{Sharpness-sharp5}}
 
=== Sagittal notation ===
This notation uses the same sagittal sequence as [[39edo #Sagittal notation|39edo]].
 
==== Evo flavor ====
<imagemap>
File:46-EDO_Evo_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 80 120 106 [[81/80]]
rect 120 80 240 106 [[33/32]]
default [[File:46-EDO_Evo_Sagittal.svg]]
</imagemap>
 
==== Revo flavor ====
<imagemap>
File:46-EDO_Revo_Sagittal.svg
desc none
rect 80 0 300 50 [[Sagittal_notation]]
rect 300 0 557 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation]
rect 20 80 120 106 [[81/80]]
rect 120 80 240 106 [[33/32]]
default [[File:46-EDO_Revo_Sagittal.svg]]
</imagemap>
 
== Approximation to JI ==
[[File:46ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 15-limit intervals approximated in 46edo]]
 
=== 17-odd-limit interval mappings ===
{{Q-odd-limit intervals|46|17}}
 
=== Consistent circles ===
46edo is home to a number of [[consistent circle]]s, both ones closing after generating all 46 notes and ones closing after generating 23edo.
{| class="wikitable center-1 center-2 center-3"
|+ style="font-size: 105%;" | 46-note circles by gen. with related temperaments organized by period
|-
! [[Interval]] !! [[Closing error|Closing<br />Error]] !! [[Circle #Definitions|Consistency]] !! 1\1 !! 1\2
|-
| [[68/65]] || 25.9% || Normal || [[Valentine]] || [[Semivalentine]]
|-
| [[10/9]] || 36.1% || Normal || [[Mitonic]] || [[Unidec]], [[hendec]]
|-
| [[31/24]] || 70.2% || Weak || [[Sensible]], [[sensi]] add-31 || [[Bison]] add-31, [[bisensi]] add-31
|}
 
{| class="wikitable center-all left-4"
|+ style="font-size: 105%;" | 23-note circles by gen. with related half-octave temperaments
|-
! [[Interval]] !! [[Closing error|Closing<br />Error]] !! [[Circle #Definitions|Consistency]] !! Temperaments
|-
| [[17/16]] || 53.5% || Weak || [[Diaschismic]]
|-
| [[23/21]] || 85.7% || Weak || [[Bison]]
|-
| [[44/39]] || 12.3% || Super-strong || [[Abigail]]
|-
| [[21/17]] || 53.6% || Weak || ?
|-
| [[14/11]] || 10.2% || Super-strong || ?
|-
| [[21/16]] || 107% || Sub-weak || ?
|}
 
For the 23rd-octave temperament that 46edo supports which combines all above 23-note circles, see [[icositritonic]].
 
== 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| 73 -46 }}
| {{mapping| 46 73 }}
| −0.755
| 0.75
| 2.89
|-
| 2.3.5
| 2048/2025, 78732/78125
| {{mapping| 46 73 107 }}
| −1.219
| 0.90
| 3.45
|-
| 2.3.5.7
| 126/125, 245/243, 1029/1024
| {{mapping| 46 73 107 129 }}
| −0.595
| 1.34
| 5.12
|-
| 2.3.5.7.11
| 121/120, 126/125, 176/175, 245/243
| {{mapping| 46 73 107 129 159 }}
| −0.274
| 1.36
| 5.20
|-
| 2.3.5.7.11.13
| 91/90, 121/120, 169/168, 176/175, 245/243
| {{mapping| 46 73 107 129 159 170 }}
| +0.030
| 1.41
| 5.42
|-
| 2.3.5.7.11.13.17
| 91/90, 121/120, 154/153, 169/168, 176/175, 245/243
| {{mapping| 46 73 107 129 159 170 188 }}
| +0.047
| 1.31
| 5.02
|-
| 2.3.5.7.11.13.17.23
| 91/90, 121/120, 154/153, 169/168, 176/175, 208/207, 231/230
| {{mapping| 46 73 107 129 159 170 188 208 }}
| +0.101
| 1.23
| 4.72
|}
* 46et is lower in relative error than any previous equal temperaments in the 17-, 19-, 23-limit, and others. The next equal temperaments doing better in the aforementioned subgroups are 72, 72, 94, respectively. 46et is even more prominent in the no-19 23-limit, and the next equal temperament doing better in this subgroup is 140.
 
=== Commas ===
This is a partial list of the [[commas]] that 46et [[tempering out|tempers out]] with its [[patent val]], {{val| 24 38 56 67 83 89 }}.
 
{| 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
| <abbr title="50331648/48828125">(16 digits)</abbr>
| {{monzo| 24 1 -11 }}
| 52.50
| Salegu
| [[Magus comma]]
|-
| 5
| <abbr title="1990656/1953125">(14 digits)</abbr>
| {{monzo| 13 5 -9 }}
| 32.95
| Satritrigu
| [[Valentine comma]]
|-
| 5
| [[2048/2025]]
| {{monzo| 11 -4 -2 }}
| 19.55
| Sagugu
| Diaschisma
|-
| 5
| [[78732/78125]]
| {{monzo| 2 9 -7 }}
| 13.40
| Sepgu
| Sensipent comma
|-
| 5
| <abbr title="1600000/1594323">(14 digits)</abbr>
| {{monzo| 9 -13 5 }}
| 6.15
| Saquinyo
| [[Amity comma]]
|-
| 7
| [[686/675]]
| {{monzo| 1 -3 -2 3 }}
| 27.99
| Trizo-agugu
| Senga
|-
| 7
| [[245/243]]
| {{monzo| 0 -5 1 2 }}
| 14.19
| Zozoyo
| Sensamagic comma
|-
| 7
| [[126/125]]
| {{monzo| 1 2 -3 1 }}
| 13.80
| Zotrigu
| Starling comma
|-
| 7
| [[1029/1024]]
| {{monzo| -10 1 0 3 }}
| 8.43
| Latrizo
| Gamelisma
|-
| 7
| [[5120/5103]]
| {{monzo| 10 -6 1 -1 }}
| 5.76
| Saruyo
| Hemifamity comma, aberschisma
|-
| 7
| <abbr title="2147483648/2144153025">(20 digits)</abbr>
| {{monzo| 31 -6 -2 -6 }}
| 2.69
| Sasa-tribiru-agugu
| [[Pessoalisma]]
|-
| 7
| [[4375/4374]]
| {{monzo| -1 -7 4 1 }}
| 0.40
| Zoquadyo
| Ragisma
|-
| 11
| [[121/120]]
| {{monzo|-3 -1 -1 0 2 }}
| 14.37
| Lologu
| Biyatisma
|-
| 11
| [[176/175]]
| {{monzo| 4 0 -2 -1 1 }}
| 9.86
| Lorugugu
| Valinorsma
|-
| 11
| [[896/891]]
| {{monzo| 7 -4 0 1 -1 }}
| 9.69
| Saluzo
| Pentacircle comma
|-
| 11
| [[385/384]]
| {{monzo|-7 -1 1 1 1 }}
| 4.50
| Lozoyo
| Keenanisma
|-
| 11
| [[441/440]]
| {{monzo| -3 2 -1 2 -1 }}
| 3.93
| Luzozogu
| Werckisma
|-
| 13
| [[91/90]]
| {{monzo| -1 -2 -1 1 0 1 }}
| 19.13
| Thozogu
| Superleap comma, biome comma
|-
| 13
| [[169/168]]
| {{monzo| -3 -1 0 -1 0 2 }}
| 10.27
| Thothoru
| Buzurgisma, dhanvantarisma
|-
| 13
| [[196/195]]
| {{monzo| 2 -1 -1 2 0 -1 }}
| 8.86
| Thuzozogu
| Mynucuma
|-
| 13
| [[507/500]]
| {{monzo| -2 1 -3 0 0 2 }}
| 24.07
| Thothotrigu
|
|-
| 13
| [[351/350]]
| {{Monzo| -1 3 -2 -1 0 1 }}
| 4.94
| Thorugugu
| Ratwolfsma
|-
| 13
| [[352/351]]
| {{monzo| 5 -3 0 0 1 -1 }}
| 4.93
| Thulo
| Minor minthma
|-
| 17
| [[256/255]]
| {{monzo| 8 -1 -1 0 0 0 -1 }}
| 6.78
| Sugu
| Charisma, septendecimal kleisma
|-
| 17
| [[289/288]]
| {{monzo| -5 -2 0 0 0 0 2 }}
| 6.00
| Soso
| Semitonisma
|}
 
=== Rank-2 temperaments ===
{| class="wikitable center-1 center-2 center-3 center-4"
|-
! Periods<br>per 8ve
! Generator
! Cents
! Temperaments
! MOS scales
! L:s
|-
| rowspan="11" | 1
| 1\46
| 26.087
| [[Sfourth]]
|
|
|-
| 3\46
| 78.261
| [[Valentine]]
| 1L&nbsp;14s (15-tone)<br>15L&nbsp;1s (16-tone)<br>16L&nbsp;15s (31-tone)
| 4:3 ~ [[Maximal evenness|quasi-equal]]<br>3:1<br>2:1 ~ QE
|-
| 5\46
| 130.435
| [[Twothirdtonic]]
| [[1L&nbsp;8s]] (9-tone)<br>[[9L&nbsp;1s]] (10-tone)<br>9L&nbsp;10s (19-tone)<br>9L&nbsp;19s (28-tone)<br>9L&nbsp;28s (37-tone)
| 6:5 ~ QE<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE
|-
| 7\46
| 182.609
| [[Minortone]] / [[mitonic]]
| [[1L&nbsp;5s]] (6-tone)<br>[[6L&nbsp;1s]] (7-tone)<br>7L&nbsp;6s (13-tone)<br>13L&nbsp;7s (20-tone)<br>13L&nbsp;20s (33-tone)
| 11:7<br>7:4<br>4:3 ~ QE<br>3:1<br>2:1 ~ QE
|-
| 9\46
| 234.783
| [[Rodan]]
| [[1L&nbsp;4s]] (5-tone)<br>[[1L&nbsp;5s]] (6-tone)<br>[[5L&nbsp;6s]] (11-tone)<br>5L&nbsp;11s (16-tone)<br>5L&nbsp;16s (21-tone)<br>5L&nbsp;21s (26-tone)<br>5L&nbsp;26s (31-tone)<br>5L&nbsp;31s (36-tone)<br>5L&nbsp;36s (41-tone)
| 10:9 ~QE<br>9:1<br>8:1<br>7:1<br>6:1<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE
|-
| 11\46
| 286.957
| [[Amity_family#Gamity|Gamity]]
| [[4L&nbsp;1s]] (5-tone)<br>[[4L&nbsp;5s]] (9-tone)<br>4L&nbsp;9s (13-tone)<br>4L&nbsp;13s (17-tone)<br>4L&nbsp;17s (21-tone)<br>21L&nbsp;4s (25-tone)
| 11:2<br>9:2<br>7:2<br>5:2<br>3:2 ~ QE, Golden<br>2:1 ~ QE
|-
| 13\46
| 339.130
| [[Amity]] / [[hitchcock]]
| [[4L&nbsp;3s]] (7-tone)<br>[[7L&nbsp;4s]] (11-tone)<br>7L&nbsp;11s (18-tone)<br>7L&nbsp;18s (25-tone)<br>7L&nbsp;25s (32-tone)<br>7L&nbsp;32s (39-tone)
| 7:6 ~ QE<br>6:1<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE
|-
| 15\46
| 391.304
| [[Magus]] / [[amigo]]
| [[1L&nbsp;2s]] (3-tone)<br>[[3L&nbsp;1s]] (4-tone)<br>[[3L&nbsp;4s]] (7-tone)<br>[[3L&nbsp;7s]] (10-tone)<br>3L&nbsp;10s (13-tone)<br>3L&nbsp;13s (16-tone)<br>3L&nbsp;16s (19-tone)<br>3L&nbsp;19s (21-tone)<br>3L&nbsp;21s (24-tone)<br>3L&nbsp;24s (27-tone)<br>3L&nbsp;27s (30-tone)<br>3L&nbsp;30s (33-tone)<br>3L&nbsp;33s (36-tone)<br>3L&nbsp;36s (39-tone)<br>3L&nbsp;39s (42-tone)
| 16:15 ~ QE<br>15:1<br>14:1<br>13:1<br>12:1<br>11:1<br>10:1<br>9:1<br>8:1<br>7:1<br>6:1<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE
|-
| 17\46
| 443.478
| [[Sensi]]
| [[3L&nbsp;2s]] (5-tone)<br>[[3L&nbsp;5s]] (8-tone)<br>[[8L&nbsp;3s]] (11-tone)<br>8L&nbsp;11s (19-tone)<br>19L&nbsp;8s (27-tone)
| 12:5<br>7:5<br>5:2<br>3:2 ~ QE, Golden<br>2:1
|-
| 19\46
| 495.652
| [[Leapday]]
| [[2L&nbsp;3s]] (5-tone)<br>[[5L&nbsp;2s]] (7-tone)<br>[[5L&nbsp;7s]] (12-tone)<br>12L&nbsp;5s (17-tone)<br>17L&nbsp;12s (29-tone)
| 11:8<br>8:3<br>5:3 ~ Golden<br>3:2 ~ QE, Golden<br>2:1 ~ QE
|-
| 21\46
| 547.826
| [[Heinz]]
| [[2L&nbsp;3s]] (5-tone)<br>[[2L&nbsp;5s]] (7-tone)<br>[[2L&nbsp;7s]] (9-tone)<br>[[2L&nbsp;9s]] (11-tone)<br>11L&nbsp;2s (13-tone)<br>11L&nbsp;13s (24-tone)<br>11L&nbsp;24s (35-tone)
| 17:4<br>13:4<br>9:4<br>5:4 ~ QE<br>4:1<br>3:1<br>2:1 ~ QE
|-
| rowspan="11" | 2
| 1\46
| 26.087
| [[Ketchup]]
|
|
|-
| 2\46
| 52.174
| [[Shrutar]]
| 2L&nbsp;2s (4-tone)<br>[[2L&nbsp;4s]] (6-tone)<br>[[2L&nbsp;6s]] (8-tone)<br>[[2L&nbsp;8s]] (10-tone)<br>[[2L&nbsp;10s]] (12-tone)<br>2L&nbsp;12s (14-tone)<br>2L&nbsp;14s (16-tone)<br>2L&nbsp;16s (18-tone)<br>2L&nbsp;18s (20-tone)<br>2L&nbsp;20s (22-tone)<br>22L&nbsp;2s (24-tone)
| 21:2<br>19:2<br>17:2<br>15:2<br>13:2<br>11:2<br>9:2<br>7:2<br>5:2<br>3:2 ~ QE, Golden<br>2:1 ~ QE
|-
| 3\46
| 78.261
| [[Semivalentine]]
| 2L&nbsp;2s (4-tone)<br>[[2L&nbsp;4s]] (6-tone)<br>[[2L&nbsp;6s]] (8-tone)<br>[[2L&nbsp;8s]] (10-tone)<br>[[2L&nbsp;10s]] (12-tone)<br>2L&nbsp;12s (14-tone)<br>14L&nbsp;2s (16-tone)<br>16L&nbsp;14s (30-tone)
| 20:3<br>17:3<br>14:3<br>11:3<br>8:3<br>5:3 ~ Golden<br>3:2 ~ QE, Golden<br>2:1 ~ QE
|-
| 4\46
| 104.348
| [[Srutal]] / [[diaschismic]]
| 2L&nbsp;2s (4-tone)<br>[[2L&nbsp;4s]] (6-tone)<br>[[2L&nbsp;6s]] (8-tone)<br>[[2L&nbsp;8s]] (10-tone)<br>[[10L&nbsp;2s]] (12-tone)<br>12L&nbsp;10s (22-tone)<br>12L&nbsp;22s (34-tone)
| 19:4<br>15:4<br>11:4<br>7:4<br>4:3 ~ QE<br>3:1<br>2:1 ~ QE
|-
| 5\46
| 130.435
|
| 2L&nbsp;2s (4-tone)<br>[[2L&nbsp;4s]] (6-tone)<br>[[2L&nbsp;6s]] (8-tone)<br>[[8L&nbsp;2s]] (10-tone)<br>8L&nbsp;10s (18-tone)<br>18L&nbsp;10s (28-tone)
| 18:5<br>13:5<br>8:5 ~ Golden<br>5:3 ~ Golden<br>3:2 ~ QE, Golden<br>2:1 ~ QE
|-
| 6\46
| 156.522
| [[Bison]]
| 2L&nbsp;2s (4-tone)<br>[[2L&nbsp;4s]] (6-tone)<br>[[6L&nbsp;2s]] (8-tone)<br>8L&nbsp;6s (14-tone)<br>8L&nbsp;14s (22-tone)<br>8L&nbsp;22s (30-tone)<br>8L&nbsp;30s (38-tone
| 17:6<br>11:6<br>6:5 ~ QE<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE
|-
| 7\46
| 182.609
| [[Unidec]] / [[hendec]]
| 2L&nbsp;2s (4-tone)<br>[[2L&nbsp;4s]] (6-tone)<br>[[6L&nbsp;2s]] (8-tone)<br>6L&nbsp;8s (14-tone)<br>6L&nbsp;14s (20-tone)<br>20L&nbsp;6s (26-tone)
| 16:7<br>9:7<br>7:2<br>5:2<br>3:2 ~ QE, Golden<br>2:1 ~ QE
|-
| 8\46
| 208.696
| [[Abigail]]
| 2L&nbsp;2s (4-tone)<br>[[4L&nbsp;2s]] (6-tone)<br>[[6L&nbsp;2s]] (8-tone)<br>6L&nbsp;8s (14-tone)<br>6L&nbsp;14s (20-tone)<br>6L&nbsp;20s (26-tone)<br>6L&nbsp;26s (32-tone)<br>6L&nbsp;32s (38-tone)<br>6L&nbsp;38s (44-tone)
| 15:8<br>8:7 ~ QE<br>8:1<br>7:1<br>6:1<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE
|-
| 9\46
| 234.783
| [[Echidnic]]
| 2L&nbsp;2s (4-tone)<br>[[4L&nbsp;2s]] (6-tone)<br>[[6L&nbsp;4s]] (10-tone)<br>10L&nbsp;6s (16-tone)<br>10L&nbsp;16s (26-tone)<br>10L&nbsp;26s (36-tone)
| 14:9<br>9:5<br>5:4 ~ QE<br>4:1<br>3:1<br>2:1 ~ QE
|-
| 10\46
| 260.87
| [[Bamity]]
| 2L&nbsp;2s (4-tone)<br>[[4L&nbsp;2s]] (6-tone)<br>[[4L&nbsp;6s]] (10-tone)<br>4L&nbsp;10s (14-tone)<br>14L&nbsp;4s (18-tone)<br>14L&nbsp;18s (32-tone)
| 13:10<br>10:3<br>7:3<br>4:3 ~ QE<br>3:1<br>2:1 ~ QE
|-
| 11\46
| 286.957
| [[Vines]]
| 2L&nbsp;2s (4-tone)<br>[[4L&nbsp;2s]] (6-tone)<br>[[4L&nbsp;6s]] (10-tone)<br>4L&nbsp;10s (14-tone)<br>4L&nbsp;14s (18-tone)<br>4L&nbsp;18s (22-tone)<br>4L&nbsp;22s (26-tone)<br>4L&nbsp;26s (30-tone)<br>4L&nbsp;30s (34-tone)<br>4L&nbsp;34s (38-tone)<br>4L&nbsp;38s (42-tone)
| 12:11 ~ QE<br>11:1<br>10:1<br>9:1<br>8:1<br>7:1<br>6:1<br>5:1<br>4:1<br>3:1<br>2:1 ~ QE
|-
| 23
| 1\46
| 26.087
| [[Icositritonic]]
|
|
|}
 
== Scales ==
{{Main| List of MOS scales in 46edo }}
 
* [[Plum]]
* [[Compdye]]
* [[Smi2s]]
 
; Sensi
* [[Sensi5]]
* [[Sensi8]]
* [[Sensi11]]
* [[Sensi19]]
 
; Elfleapday
* [[Elfleapday7]]
* [[Elfleapday8d]]
* [[Elfleapday9]]
* [[Elfleapday10]]
* [[Elfleapday12]]
* [[Elfleapday12f]]
 
; Elfsensus
* [[Elfsensus7]]
* [[Elfsensus8d]]
* [[Elfsensus9]]
* [[Elfsensus10]]
* [[Elfsensus12]]
* [[Elfsensus12f]]
 
=== Harmonic scales ===
46edo represents [[harmonic series|overtones]] 8 through 16 (written as [[JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. This corresponds to scale steps of 8, 7, 6, 6, 5, 5, 5, 4.
* 8\46 (208.696{{c}}) stands in for frequency ratio [[9/8]] (203.910{{c}}).
* 7\46 (182.609{{c}}) stands in for [[10/9]] (182.404{{c}}).
* 6\46 (156.522{{c}}) stands in for [[11/10]] (165.004{{c}}) and [[12/11]] (150.637{{c}}).
* 5\46 (130.435{{c}}) stands in for [[13/12]] (138.573{{c}}), [[14/13]] (128.298{{c}}) and [[15/14]] (119.443{{c}}).
* 4\46 (104.348{{c}}) stands in for [[16/15]] (111.731{{c}}).
 
{| class="wikitable center-all"
|-
! Harmonic
! Note (starting from C)
|-
! 1
| style="font-size: 16px;" | C
|-
! 3
| style="font-size: 16px;" | G
|-
! 5
| style="font-size: 16px;" | E{{naturaldown|40}}
|-
! 7
| style="font-size: 16px;" | G&#x1D12A;, B{{flatdown|40}}
|-
! 9
| style="font-size: 16px;" | D
|-
! 11
| style="font-size: 16px;" | E&#x266F;, F{{naturalup2|40}}
|-
! 13
| style="font-size: 16px;" | G&#x266F;, A{{flatup2|40}}
|-
! 15
| style="font-size: 16px;" | B{{naturaldown|40}}
|}
 
== Instruments ==
=== Lumatone ===
* [[Lumatone mapping for 46edo]]
 
=== Skip fretting ===
'''[[Skip fretting system 46 2 11]]''' is a [[skip fretting]] system for playing 46-edo on a 23-edo stringed instrument.
 
 
'''Skip fretting system 46 7 11''' is another skip fretting system for 46edo. The examples on this page are for 7-string [[guitar]].
 
; Harmonics
1/1: string 2 open
 
2/1: string 3 fret 5
 
3/2: not easily accessible
 
5/4: string 5 fret 4
 
== Music ==
=== Modern renditions ===
; {{W|Johann Sebastian Bach}}
* [https://www.youtube.com/watch?v=wMEdFl2puL0 "Ricercar a 6" from ''The Musical Offering'', BWV 1079] (1747) – with syntonic-comma adjustment, rendered by Claudi Meneghin (2025)
* [https://www.youtube.com/watch?v=4yetEubmIk0 "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024)
 
; {{W|Nicolaus Bruhns}}
* [https://www.youtube.com/watch?v=_YiCc81ktBI ''Prelude in E Minor "The Great"''] – rendered by Claudi Meneghin (2023)
 
; {{W|Scott Joplin}}
* [https://www.youtube.com/watch?v=GXIoWsvFMzI ''Maple Leaf Rag''] (1899) – with syntonic comma adjustment, arranged for harpsichord and rendered by Claudi Meneghin (2024)
 
=== 21st century ===
; [[Bryan Deister]]
* [https://www.youtube.com/watch?v=SCpbbov1fSQ ''music box 46edo''] (2025)
 
; [[Jake Freivald]] ([https://soundcloud.com/jdfreivald site])
* [https://soundcloud.com/jdfreivald/a-seed-planted-yet-another ''A Seed Planted - (Yet another version: 46 EDO)''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/a_seed_planted-starling-46-EDO.mp3 play]{{dead link}}
 
; [[Andrew Heathwaite]]
* [https://andrewheathwaite.bandcamp.com/track/rats ''Rats''] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2001%20Rats.mp3 play]{{dead link}} (2012)
* [https://andrewheathwaite.bandcamp.com/track/tumbledown-stew ''Tumbledown Stew''] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2012%20Tumbledown%20Stew.mp3 play]{{dead link}} (2012)
* [https://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-1 ''Hypnocloudsmack 1''] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2004%20Hypnocloudsmack%201.mp3 play]{{dead link}} (2012)
* [https://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-2 ''Hypnocloudsmack 2''] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2009%20Hypnocloudsmack%202.mp3 play]{{dead link}} (2012)
* [https://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-3 ''Hypnocloudsmack 3''] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2013%20Hypnocloudsmack%203.mp3 play]{{dead link}} (2012)
 
; [[Aaron Krister Johnson]]
* [https://aaronkristerjohnson.bandcamp.com/track/satiesque ''Satiesque''] (2014)
 
; [[Claudi Meneghin]]
* [http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Bach_BWV_1029_E46-Alto-Sax-+-Harpsichord.mp3 Bach BWV 1029 in 46 equal] Claudi Meneghin version
* [http://soonlabel.com/xenharmonic/wp-content/uploads/2014/02/Bach_Contrapunctus_4-Jeux14-E46.mp3 Bach Contrapunctus 4] Claudi Meneghin version
* [https://www.youtube.com/watch?v=-6ORgyqom5M ''Chaconne et Fugue à 5 "Les Regrets"'']
* [https://www.youtube.com/watch?v=1r55c2nppe8 ''El Rossinyol'']
* [https://www.youtube.com/watch?v=JwjoT6ceU20 ''Arietta with 5 Variations'', for Organ]
* [https://www.youtube.com/watch?v=rmgWC_jruSg ''Fugue in 46edo (as Sensi)'', for two organs] (2024)
 
; [[Herman Miller]]
* ''[https://soundcloud.com/morphosyntax-1/light-at-the-end Light at the End]'' (2020)
 
; [[Joseph Monzo]]
* [https://www.youtube.com/watch?v=gL90m2ri5kw ''I Love the Blackness (unfinished)''] (2008)
 
; [[Ray Perlner]]
* [https://www.youtube.com/watch?v=QDFLKyTXZgs ''Fugue in 46EDO Bohlen-Pierce-Stearns 9 (Sensi Extension) LssLsLsLs "Lambda"'']
 
; [[Gene Ward Smith]]
* [https://www.archive.org/details/Chromosounds ''Chromosounds''] [http://clones.soonlabel.com/public/micro/gene_ward_smith/chromosounds/GWS-GPO-Jazz-chromosounds.mp3 play]
* [https://www.archive.org/details/MusicForYourEars ''Music For Your Ears''] [https://www.archive.org/download/MusicForYourEars/musicfor.mp3 play] – The central portion is in [[27edo]]; the rest is in 46edo.
 
; [[Tristan Bay]]
* [https://www.youtube.com/watch?v=s61YY80E_IA ''Catalyst''] (2025)
 
; vivi mouse
* [https://soundcloud.com/vivi-mouse-emoji/valentines-day ''valentine's day''] (2025)
 
== Notes ==
<references group="note" />
 
[[Category:Chromosounds]]
[[Category:Leapday]]
[[Category:Sensi]]
[[Category:Shrutar]]
[[Category:Valentine]]
[[Category:Quartismic]]
[[Category:Listen]]
[[Category:Diaschismic]]
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