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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
__FORCETOC__
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 19:04:56 UTC</tt>.<br>
: The original revision id was <tt>621462017</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
----


=&lt;span style="color: #300094; font-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;46 tone equal temperament&lt;/span&gt;=  
=<span style="color: #300094; font-family: 'Times New Roman',Times,serif; font-size: 113%;">46 tone equal temperament</span>=
The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the [[xenharmonic/octave|octave]] into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 [[xenharmonic/cent|cent]]s, an interval close in size to [[xenharmonic/66_65|66/65]], the interval from [[xenharmonic/13_11|13/11]] to [[xenharmonic/6_5|6/5]].
The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the [[Octave|octave]] into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 [[cent|cent]]s, an interval close in size to [[66/65|66/65]], the interval from [[13/11|13/11]] to [[6/5|6/5]].


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. [[xenharmonic/Rank two temperaments|Rank two temperaments]] it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The [[xenharmonic/11-limit|11-limit]] [[xenharmonic/Target tunings|minimax]] tuning for [[xenharmonic/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 [[xenharmonic/13-limit|13-limit]], though others award that distinction to [[xenharmonic/41edo|41edo]]. In fact, while 41 is a [[xenharmonic/The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]] but not a [[xenharmonic/The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta gap edo]], 46 is zeta gap but not zeta integral.
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|Rank two temperaments]] it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The [[11-limit|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|13-limit]], though others award that distinction to [[41edo|41edo]]. In fact, while 41 is a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta integral edo]] but not a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta gap edo]], 46 is zeta gap but not zeta integral.


The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the [[xenharmonic/just fifth|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.
The fifth of 46 equal is 2.39 cents sharp, which some people (eg, Margo Schulter) prefer, sometimes strongly, over both the [[just_fifth|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.


46edo can be treated as two [[xenharmonic/23edo|23edo]]'s separated by an interval of 26.087 cents.
46edo can be treated as two [[23edo|23edo]]'s separated by an interval of 26.087 cents.


=46edo srutis=  
=46edo srutis=
[[xenharmonic/Magic22 as srutis#shrutar22assrutis|Shrutar22 as srutis]] describes a possible use of 46edo for [[xenharmonic/Indian|Indian]] music.
[[Magic22_as_srutis#shrutar22assrutis|Shrutar22 as srutis]] describes a possible use of 46edo for [[Indian|Indian]] music.


=Intervals=  
=Intervals=
||~ degrees of 46edo ||~ solfege ||~ cents value ||~ approximate ratios
in the [[xenharmonic/17-limit|17-limit]] ||||||~ [[Ups and Downs Notation|ups and downs notation]] ||
||= 0 ||= do || 0.00 || 1/1 ||= perfect unison ||= P1 ||= D ||
||= 1 ||= di || 26.087 ||  ||= up unison ||= ^1 ||= D^ ||
||= 2 ||= ro || 52.174 ||  ||= downminor 2nd ||= vm2 ||= Ebv ||
||= 3 ||= rih || 78.261 ||  ||= minor 2nd ||= m2 ||= Eb ||
||= 4 ||= ra || 104.348 || 16/15, 17/16, 18/17 ||= upminor 2nd ||= ^m2 ||= Eb^ ||
||= 5 ||= ru (as in supraminor) || 130.435 || 13/12, 14/13, 15/14 ||= downmid 2nd ||= v~2 ||= Eb^^ ||
||= 6 ||= ruh (as in submajor) || 156.522 || 12/11, 11/10 ||= upmid 2nd ||= ^~2 ||= Evv ||
||= 7 ||= reh || 182.609 || 10/9 ||= downmajor 2nd ||= vM2 ||= Ev ||
||= 8 ||= re || 208.696 || 9/8, 17/15 ||= major 2nd ||= M2 ||= E ||
||= 9 ||= ri || 234.783 || 8/7, 15/13* ||= upmajor 2nd ||= ^M2 ||= E^ ||
||= 10 ||= ma || 260.87 || 7/6, 15/13* ||= downminor 3rd ||= vm3 ||= Fv ||
||= 11 ||= meh || 286.957 || 13/11, 20/17 ||= minor 3rd ||= m3 ||= F ||
||= 12 ||= me || 313.043 || 6/5 ||= upminor 3rd ||= ^m3 ||= F^ ||
||= 13 ||= mu || 339.13 || 11/9, 17/14 ||= downmid 3rd ||= v~3 ||= F^^ ||
||= 14 ||= muh || 365.217 || 16/13 ||= upmid 3rd ||= ^~3 ||= F#vv ||
||= 15 ||= mi || 391.304 || 5/4 ||= downmajor 3rd ||= vM3 ||= F#v ||
||= 16 ||= maa || 417.391 || 14/11 ||= major 3rd ||= M3 ||= F# ||
||= 17 ||= mo || 443.478 || 9/7, 13/10, 22/17 ||= upmajor 3rd ||= ^M3 ||= F#^ ||
||= 18 ||= fe || 469.565 || 17/13 ||= down 4th ||= v4 ||= Gv ||
||= 19 ||= fa || 495.652 || 4/3 ||= perfect 4th ||= P4 ||= G ||
||= 20 ||= fih || 521.739 ||  ||= up 4th ||= ^4 ||= G^ ||
||= 21 ||= fu || 547.826 || 11/8, 15/11 ||= double-up 4th ||= ^^4 ||= G^^ ||
||= 22 ||= fi || 573.913 || 7/5, 18/13 ||= double-down aug 4th,
dim 5th ||= vvA4, d5 ||= G#vv, Ab ||
||= 23 ||= seh || 600 || 17/12, 24/17 ||= downaug 4th, updim 5th ||= vA4, ^d5 ||= G#v, Ab^ ||
||= 24 ||= se || 626.087 || 10/7, 13/9 ||= aug 4th, double-up dim 5th ||= A4, ^^d5 ||= G#, Ab^^ ||
||= 25 ||= su || 652.174 || 16/11, 22/15 ||= double-down 5th ||= vv5 ||= Avv ||
||= 26 ||= sih || 678.261 ||  ||= down 5th ||= v5 ||= Av ||
||= 27 ||= sol || 704.348 || 3/2 ||= perfect 5th ||= P5 ||= A ||
||= 28 ||= si || 730.435 || 26/17 ||= up 5th ||= ^5 ||= A^ ||
||= 29 ||= lo || 756.522 || 14/9, 20/13, 17/11 ||= downminor 6th ||= vm6 ||= Bbv ||
||= 30 ||= leh || 782.609 || 11/7 ||= minor 6th ||= m6 ||= Bb ||
||= 31 ||= le || 808.696 || 8/5 ||= upminor 6th ||= ^m6 ||= Bb^ ||
||= 32 ||= lu || 834.783 || 13/8 ||= downmid 6th ||= v~6 ||= Bb^^ ||
||= 33 ||= luh || 860.87 || 18/11, 28/17 ||= upmid 6th ||= ^~6 ||= Bvv ||
||= 34 ||= la || 886.957 || 5/3 ||= downmajor 6th ||= vM6 ||= Bv ||
||= 35 ||= laa || 913.043 || 22/13, 17/10 ||= major 6th ||= M6 ||= B ||
||= 36 ||= li || 939.13 || 12/7, 26/15* ||= upmajor 6th ||= ^M6 ||= B^ ||
||= 37 ||= ta || 965.217 || 7/4, 26/15* ||= downminor 7th ||= vm7 ||= Cv ||
||= 38 ||= teh || 991.304 || 16/9, 30/17 ||= minor 7th ||= m7 ||= C ||
||= 39 ||= te || 1017.391 || 9/5 ||= upminor 7th ||= ^m7 ||= C^ ||
||= 40 ||= tu || 1043.478 || 11/6, 20/11 ||= downmid 7th ||= v~7 ||= C^^ ||
||= 41 ||= tuh || 1069.565 || 24/13, 13/7, 28/15 ||= upmid 7th ||= ^~7 ||= C#vv ||
||= 42 ||= ti || 1095.652 || 15/8, 32/17, 17/9 ||= downmajor 7th ||= vM7 ||= C#v ||
||= 43 ||= taa || 1121.739 ||  ||= major 7th ||= M7 ||= C# ||
||= 44 ||= to || 1147.826 ||  ||= upmajor 7th ||= ^M7 ||= C#^ ||
||= 45 ||= da || 1173.913 ||  ||= down 8ve ||= v8 ||= Dv ||
||= 46 ||= do || 1200 || 2/1 ||= perfect 8ve ||= P8 ||= D ||
*15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not [[xenharmonic/consistent|consistent]] in the [[xenharmonic/15-limit|15-limit]].


Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be loosely associated with colors:
{| class="wikitable"
||~ quality ||~ color ||~ monzo format ||~ examples ||
|-
||= downminor ||= blue ||= {a, b, 0, 1} ||= 7/6, 7/4 ||
! | degrees of 46edo
||= minor ||= fourthward white ||= {a, b}, b &lt; -1 ||= 32/27, 16/9 ||
! | solfege
||= upminor ||= green ||= {a, b, -1} ||= 6/5, 9/5 ||
! | cents value
||= downmid ||= jade ||= {a, b, 0, 0, 1} ||= 11/9, 11/6 ||
! | approximate ratios
||= upmid ||= amber ||= {a, b, 0, 0, -1} ||= 12/11, 18/11 ||
 
||= downmajor ||= yellow ||= {a, b, 1} ||= 5/4, 5/3 ||
in the [[17-limit|17-limit]]
||= major ||= fifthward white ||= {a, b}, b &gt; 1 ||= 9/8, 27/16 ||
! colspan="3" | [[Ups_and_Downs_Notation|ups and downs notation]]
||= upmajor ||= red ||= {a, b, 0, -1} ||= 9/7, 12/7 ||
|-
| style="text-align:center;" | 0
| style="text-align:center;" | do
| | 0.00
| | 1/1
| style="text-align:center;" | perfect unison
| style="text-align:center;" | P1
| style="text-align:center;" | D
|-
| style="text-align:center;" | 1
| style="text-align:center;" | di
| | 26.087
| |
| style="text-align:center;" | up unison
| style="text-align:center;" | ^1
| style="text-align:center;" | D^
|-
| style="text-align:center;" | 2
| style="text-align:center;" | ro
| | 52.174
| |
| style="text-align:center;" | downminor 2nd
| style="text-align:center;" | vm2
| style="text-align:center;" | Ebv
|-
| style="text-align:center;" | 3
| style="text-align:center;" | rih
| | 78.261
| |
| style="text-align:center;" | minor 2nd
| style="text-align:center;" | m2
| style="text-align:center;" | Eb
|-
| style="text-align:center;" | 4
| style="text-align:center;" | ra
| | 104.348
| | 16/15, 17/16, 18/17
| style="text-align:center;" | upminor 2nd
| style="text-align:center;" | ^m2
| style="text-align:center;" | Eb^
|-
| style="text-align:center;" | 5
| style="text-align:center;" | ru (as in supraminor)
| | 130.435
| | 13/12, 14/13, 15/14
| style="text-align:center;" | downmid 2nd
| style="text-align:center;" | v~2
| style="text-align:center;" | Eb^^
|-
| style="text-align:center;" | 6
| style="text-align:center;" | ruh (as in submajor)
| | 156.522
| | 12/11, 11/10
| style="text-align:center;" | upmid 2nd
| style="text-align:center;" | ^~2
| style="text-align:center;" | Evv
|-
| style="text-align:center;" | 7
| style="text-align:center;" | reh
| | 182.609
| | 10/9
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | vM2
| style="text-align:center;" | Ev
|-
| style="text-align:center;" | 8
| style="text-align:center;" | re
| | 208.696
| | 9/8, 17/15
| style="text-align:center;" | major 2nd
| style="text-align:center;" | M2
| style="text-align:center;" | E
|-
| style="text-align:center;" | 9
| style="text-align:center;" | ri
| | 234.783
| | 8/7, 15/13*
| style="text-align:center;" | upmajor 2nd
| style="text-align:center;" | ^M2
| style="text-align:center;" | E^
|-
| style="text-align:center;" | 10
| style="text-align:center;" | ma
| | 260.87
| | 7/6, 15/13*
| style="text-align:center;" | downminor 3rd
| style="text-align:center;" | vm3
| style="text-align:center;" | Fv
|-
| style="text-align:center;" | 11
| style="text-align:center;" | meh
| | 286.957
| | 13/11, 20/17
| style="text-align:center;" | minor 3rd
| style="text-align:center;" | m3
| style="text-align:center;" | F
|-
| style="text-align:center;" | 12
| style="text-align:center;" | me
| | 313.043
| | 6/5
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | ^m3
| style="text-align:center;" | F^
|-
| style="text-align:center;" | 13
| style="text-align:center;" | mu
| | 339.13
| | 11/9, 17/14
| style="text-align:center;" | downmid 3rd
| style="text-align:center;" | v~3
| style="text-align:center;" | F^^
|-
| style="text-align:center;" | 14
| style="text-align:center;" | muh
| | 365.217
| | 16/13
| style="text-align:center;" | upmid 3rd
| style="text-align:center;" | ^~3
| style="text-align:center;" | F#vv
|-
| style="text-align:center;" | 15
| style="text-align:center;" | mi
| | 391.304
| | 5/4
| style="text-align:center;" | downmajor 3rd
| style="text-align:center;" | vM3
| style="text-align:center;" | F#v
|-
| style="text-align:center;" | 16
| style="text-align:center;" | maa
| | 417.391
| | 14/11
| style="text-align:center;" | major 3rd
| style="text-align:center;" | M3
| style="text-align:center;" | F#
|-
| style="text-align:center;" | 17
| style="text-align:center;" | mo
| | 443.478
| | 9/7, 13/10, 22/17
| style="text-align:center;" | upmajor 3rd
| style="text-align:center;" | ^M3
| style="text-align:center;" | F#^
|-
| style="text-align:center;" | 18
| style="text-align:center;" | fe
| | 469.565
| | 17/13
| style="text-align:center;" | down 4th
| style="text-align:center;" | v4
| style="text-align:center;" | Gv
|-
| style="text-align:center;" | 19
| style="text-align:center;" | fa
| | 495.652
| | 4/3
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | P4
| style="text-align:center;" | G
|-
| style="text-align:center;" | 20
| style="text-align:center;" | fih
| | 521.739
| |
| style="text-align:center;" | up 4th
| style="text-align:center;" | ^4
| style="text-align:center;" | G^
|-
| style="text-align:center;" | 21
| style="text-align:center;" | fu
| | 547.826
| | 11/8, 15/11
| style="text-align:center;" | double-up 4th
| style="text-align:center;" | ^^4
| style="text-align:center;" | G^^
|-
| style="text-align:center;" | 22
| style="text-align:center;" | fi
| | 573.913
| | 7/5, 18/13
| style="text-align:center;" | double-down aug 4th,
 
dim 5th
| style="text-align:center;" | vvA4, d5
| style="text-align:center;" | G#vv, Ab
|-
| style="text-align:center;" | 23
| style="text-align:center;" | seh
| | 600
| | 17/12, 24/17
| style="text-align:center;" | downaug 4th, updim 5th
| style="text-align:center;" | vA4, ^d5
| style="text-align:center;" | G#v, Ab^
|-
| style="text-align:center;" | 24
| style="text-align:center;" | se
| | 626.087
| | 10/7, 13/9
| style="text-align:center;" | aug 4th, double-up dim 5th
| style="text-align:center;" | A4, ^^d5
| style="text-align:center;" | G#, Ab^^
|-
| style="text-align:center;" | 25
| style="text-align:center;" | su
| | 652.174
| | 16/11, 22/15
| style="text-align:center;" | double-down 5th
| style="text-align:center;" | vv5
| style="text-align:center;" | Avv
|-
| style="text-align:center;" | 26
| style="text-align:center;" | sih
| | 678.261
| |
| style="text-align:center;" | down 5th
| style="text-align:center;" | v5
| style="text-align:center;" | Av
|-
| style="text-align:center;" | 27
| style="text-align:center;" | sol
| | 704.348
| | 3/2
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | P5
| style="text-align:center;" | A
|-
| style="text-align:center;" | 28
| style="text-align:center;" | si
| | 730.435
| | 26/17
| style="text-align:center;" | up 5th
| style="text-align:center;" | ^5
| style="text-align:center;" | A^
|-
| style="text-align:center;" | 29
| style="text-align:center;" | lo
| | 756.522
| | 14/9, 20/13, 17/11
| style="text-align:center;" | downminor 6th
| style="text-align:center;" | vm6
| style="text-align:center;" | Bbv
|-
| style="text-align:center;" | 30
| style="text-align:center;" | leh
| | 782.609
| | 11/7
| style="text-align:center;" | minor 6th
| style="text-align:center;" | m6
| style="text-align:center;" | Bb
|-
| style="text-align:center;" | 31
| style="text-align:center;" | le
| | 808.696
| | 8/5
| style="text-align:center;" | upminor 6th
| style="text-align:center;" | ^m6
| style="text-align:center;" | Bb^
|-
| style="text-align:center;" | 32
| style="text-align:center;" | lu
| | 834.783
| | 13/8
| style="text-align:center;" | downmid 6th
| style="text-align:center;" | v~6
| style="text-align:center;" | Bb^^
|-
| style="text-align:center;" | 33
| style="text-align:center;" | luh
| | 860.87
| | 18/11, 28/17
| style="text-align:center;" | upmid 6th
| style="text-align:center;" | ^~6
| style="text-align:center;" | Bvv
|-
| style="text-align:center;" | 34
| style="text-align:center;" | la
| | 886.957
| | 5/3
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | vM6
| style="text-align:center;" | Bv
|-
| style="text-align:center;" | 35
| style="text-align:center;" | laa
| | 913.043
| | 22/13, 17/10
| style="text-align:center;" | major 6th
| style="text-align:center;" | M6
| style="text-align:center;" | B
|-
| style="text-align:center;" | 36
| style="text-align:center;" | li
| | 939.13
| | 12/7, 26/15*
| style="text-align:center;" | upmajor 6th
| style="text-align:center;" | ^M6
| style="text-align:center;" | B^
|-
| style="text-align:center;" | 37
| style="text-align:center;" | ta
| | 965.217
| | 7/4, 26/15*
| style="text-align:center;" | downminor 7th
| style="text-align:center;" | vm7
| style="text-align:center;" | Cv
|-
| style="text-align:center;" | 38
| style="text-align:center;" | teh
| | 991.304
| | 16/9, 30/17
| style="text-align:center;" | minor 7th
| style="text-align:center;" | m7
| style="text-align:center;" | C
|-
| style="text-align:center;" | 39
| style="text-align:center;" | te
| | 1017.391
| | 9/5
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | ^m7
| style="text-align:center;" | C^
|-
| style="text-align:center;" | 40
| style="text-align:center;" | tu
| | 1043.478
| | 11/6, 20/11
| style="text-align:center;" | downmid 7th
| style="text-align:center;" | v~7
| style="text-align:center;" | C^^
|-
| style="text-align:center;" | 41
| style="text-align:center;" | tuh
| | 1069.565
| | 24/13, 13/7, 28/15
| style="text-align:center;" | upmid 7th
| style="text-align:center;" | ^~7
| style="text-align:center;" | C#vv
|-
| style="text-align:center;" | 42
| style="text-align:center;" | ti
| | 1095.652
| | 15/8, 32/17, 17/9
| style="text-align:center;" | downmajor 7th
| style="text-align:center;" | vM7
| style="text-align:center;" | C#v
|-
| style="text-align:center;" | 43
| style="text-align:center;" | taa
| | 1121.739
| |
| style="text-align:center;" | major 7th
| style="text-align:center;" | M7
| style="text-align:center;" | C#
|-
| style="text-align:center;" | 44
| style="text-align:center;" | to
| | 1147.826
| |
| style="text-align:center;" | upmajor 7th
| style="text-align:center;" | ^M7
| style="text-align:center;" | C#^
|-
| style="text-align:center;" | 45
| style="text-align:center;" | da
| | 1173.913
| |
| style="text-align:center;" | down 8ve
| style="text-align:center;" | v8
| style="text-align:center;" | Dv
|-
| style="text-align:center;" | 46
| style="text-align:center;" | do
| | 1200
| | 2/1
| style="text-align:center;" | perfect 8ve
| style="text-align:center;" | P8
| style="text-align:center;" | D
|}
*15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not [[consistent|consistent]] in the [[15-limit|15-limit]].
 
Combining ups and downs notation with [[Kite's_color_notation|color notation]], qualities can be loosely associated with colors:
 
{| class="wikitable"
|-
! | quality
! | color
! | monzo format
! | examples
|-
| style="text-align:center;" | downminor
| style="text-align:center;" | blue
| style="text-align:center;" | {a, b, 0, 1}
| style="text-align:center;" | 7/6, 7/4
|-
| style="text-align:center;" | minor
| style="text-align:center;" | fourthward white
| style="text-align:center;" | {a, b}, b &lt; -1
| style="text-align:center;" | 32/27, 16/9
|-
| style="text-align:center;" | upminor
| style="text-align:center;" | green
| style="text-align:center;" | {a, b, -1}
| style="text-align:center;" | 6/5, 9/5
|-
| style="text-align:center;" | downmid
| style="text-align:center;" | jade
| style="text-align:center;" | {a, b, 0, 0, 1}
| style="text-align:center;" | 11/9, 11/6
|-
| style="text-align:center;" | upmid
| style="text-align:center;" | amber
| style="text-align:center;" | {a, b, 0, 0, -1}
| style="text-align:center;" | 12/11, 18/11
|-
| style="text-align:center;" | downmajor
| style="text-align:center;" | yellow
| style="text-align:center;" | {a, b, 1}
| style="text-align:center;" | 5/4, 5/3
|-
| style="text-align:center;" | major
| style="text-align:center;" | fifthward white
| style="text-align:center;" | {a, b}, b &gt; 1
| style="text-align:center;" | 9/8, 27/16
|-
| style="text-align:center;" | upmajor
| style="text-align:center;" | red
| style="text-align:center;" | {a, b, 0, -1}
| style="text-align:center;" | 9/7, 12/7
|}
All 46edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads:
All 46edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads:
||~ color of the 3rd ||~ JI chord ||~ notes as edosteps ||~ notes of C chord ||~ written name ||~ spoken name ||
||= blue ||= 6:7:9 ||= 0-10-27 ||= C Ebv G ||= C.vm ||= C downminor ||
||= green ||= 10:12:15 ||= 0-12-27 ||= C Eb^ G ||= C.^m ||= C upminor ||
||= jade ||= 18:22:27 ||= 0-13-27 ||= C Eb^^ G ||= C.v~ ||= C downmid ||
||= yellow ||= 4:5:6 ||= 0-15-27 ||= C Ev G ||= C.v ||= C downmajor or C dot down ||
||= red ||= 14:18:27 ||= 0-17-27 ||= C E^ G ||= C.^ ||= C upmajor or C dot up ||
For a more complete list, see [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].


=Linear temperaments=  
{| class="wikitable"
||~ Periods
|-
per octave ||~ Generator ||~ Cents ||~ Temperaments ||~ MOS/DE Scales available ||~ L:s ||
! | color of the 3rd
|| 1 || 1\46 || 26.087 ||   ||   ||   ||
! | JI chord
|| 1 || 3\46 || 78.261 || [[xenharmonic/Valentine|Valentine]] || 1L 14s (15-tone)
! | notes as edosteps
! | notes of C chord
! | written name
! | spoken name
|-
| style="text-align:center;" | blue
| style="text-align:center;" | 6:7:9
| style="text-align:center;" | 0-10-27
| style="text-align:center;" | C Ebv G
| style="text-align:center;" | C.vm
| style="text-align:center;" | C downminor
|-
| style="text-align:center;" | green
| style="text-align:center;" | 10:12:15
| style="text-align:center;" | 0-12-27
| style="text-align:center;" | C Eb^ G
| style="text-align:center;" | C.^m
| style="text-align:center;" | C upminor
|-
| style="text-align:center;" | jade
| style="text-align:center;" | 18:22:27
| style="text-align:center;" | 0-13-27
| style="text-align:center;" | C Eb^^ G
| style="text-align:center;" | C.v~
| style="text-align:center;" | C downmid
|-
| style="text-align:center;" | yellow
| style="text-align:center;" | 4:5:6
| style="text-align:center;" | 0-15-27
| style="text-align:center;" | C Ev G
| style="text-align:center;" | C.v
| style="text-align:center;" | C downmajor or C dot down
|-
| style="text-align:center;" | red
| style="text-align:center;" | 14:18:27
| style="text-align:center;" | 0-17-27
| style="text-align:center;" | C E^ G
| style="text-align:center;" | C.^
| style="text-align:center;" | C upmajor or C dot up
|}
For a more complete list, see [[Ups_and_Downs_Notation#Chord names in other EDOs|Ups and Downs Notation - Chord names in other EDOs]].
 
=Linear temperaments=
 
{| class="wikitable"
|-
! | Periods
 
per octave
! | Generator
! | Cents
! | Temperaments
! | MOS/DE Scales available
! | L:s
|-
| | 1
| | 1\46
| | 26.087
| |  
| |  
| |  
|-
| | 1
| | 3\46
| | 78.261
| | [[Valentine|Valentine]]
| | 1L 14s (15-tone)
 
15L 1s (16-tone)
15L 1s (16-tone)
16L 15s (31-tone) || 4:3 ~ [[xenharmonic/Maximal evenness|quasi-equal]]
 
16L 15s (31-tone)
| | 4:3 ~ [[Maximal_evenness|quasi-equal]]
 
3:1
3:1
2:1 ~ QE ||
 
|| 1 || 5\46 || 130.435 || [[xenharmonic/Twothirdtonic|Twothirdtonic]] || [[xenharmonic/1L 8s|1L 8s]] (9-tone)
2:1 ~ QE
[[xenharmonic/9L 1s|9L 1s]] (10-tone)
|-
| | 1
| | 5\46
| | 130.435
| | [[Twothirdtonic|Twothirdtonic]]
| | [[1L_8s|1L 8s]] (9-tone)
 
[[9L_1s|9L 1s]] (10-tone)
 
9L 10s (19-tone)
9L 10s (19-tone)
9L 19s (28-tone)
9L 19s (28-tone)
9L 28s (37-tone) || 6:5 ~ QE
 
9L 28s (37-tone)
| | 6:5 ~ QE
 
5:1
5:1
4:1
4:1
3:1
3:1
2:1 ~ QE ||
 
|| 1 || 7\46 || 182.609 || [[xenharmonic/Minortone|Minortone]] || [[xenharmonic/1L 5s|1L 5s]] (6-tone)
2:1 ~ QE
[[xenharmonic/6L 1s|6L 1s]] (7-tone)
|-
| | 1
| | 7\46
| | 182.609
| | [[Minortone|Minortone]]
| | [[1L_5s|1L 5s]] (6-tone)
 
[[6L_1s|6L 1s]] (7-tone)
 
7L 6s (13-tone)
7L 6s (13-tone)
13L 7s (20-tone)
13L 7s (20-tone)
13L 20s (33-tone) || 11:7
 
13L 20s (33-tone)
| | 11:7
 
7:4
7:4
4:3 ~ QE
4:3 ~ QE
3:1
3:1
2:1 ~ QE ||
 
|| 1 || 9\46 || 234.783 || [[xenharmonic/Rodan|Rodan]] || [[xenharmonic/1L 4s|1L 4s]] (5-tone)
2:1 ~ QE
[[xenharmonic/1L 5s|1L 5s]] (6-tone)
|-
[[xenharmonic/5L 6s|5L 6s]] (11-tone)
| | 1
| | 9\46
| | 234.783
| | [[Rodan|Rodan]]
| | [[1L_4s|1L 4s]] (5-tone)
 
[[1L_5s|1L 5s]] (6-tone)
 
[[5L_6s|5L 6s]] (11-tone)
 
5L 11s (16-tone)
5L 11s (16-tone)
5L 16s (21-tone)
5L 16s (21-tone)
5L 21s (26-tone)
5L 21s (26-tone)
5L 26s (31-tone)
5L 26s (31-tone)
5L 31s (36-tone)
5L 31s (36-tone)
5L 36s (41-tone) || 10:9 ~QE
 
5L 36s (41-tone)
| | 10:9 ~QE
 
9:1
9:1
8:1
8:1
7:1
7:1
6:1
6:1
5:1
5:1
4:1
4:1
3:1
3:1
2:1 ~ QE ||
 
|| 1 || 11\46 || 286.957 ||   || [[xenharmonic/4L 1s|4L 1s]] (5-tone)
2:1 ~ QE
[[xenharmonic/4L 5s|4L 5s]] (9-tone)
|-
| | 1
| | 11\46
| | 286.957
| |  
| | [[4L_1s|4L 1s]] (5-tone)
 
[[4L_5s|4L 5s]] (9-tone)
 
4L 9s (13-tone)
4L 9s (13-tone)
4L 13s (17-tone)
4L 13s (17-tone)
4L 17s (21-tone)
4L 17s (21-tone)
21L 4s (25-tone) || 11:2
 
21L 4s (25-tone)
| | 11:2
 
9:2
9:2
7:2
7:2
5:2
5:2
3:2 ~ QE, Golden
3:2 ~ QE, Golden
2:1 ~ QE ||
 
|| 1 || 13\46 || 339.13 || [[xenharmonic/Amity|Amity]]/[[xenharmonic/hitchcock|hitchcock]] || [[xenharmonic/4L 3s|4L 3s]] (7-tone)
2:1 ~ QE
[[xenharmonic/7L 4s|7L 4s]] (11-tone)
|-
| | 1
| | 13\46
| | 339.13
| | [[Amity|Amity]]/[[Hitchcock|hitchcock]]
| | [[4L_3s|4L 3s]] (7-tone)
 
[[7L_4s|7L 4s]] (11-tone)
 
7L 11s (18-tone)
7L 11s (18-tone)
7L 18s (25-tone)
7L 18s (25-tone)
7L 25s (32-tone)
7L 25s (32-tone)
7L 32s (39-tone) || 7:6 ~ QE
 
7L 32s (39-tone)
| | 7:6 ~ QE
 
6:1
6:1
5:1
5:1
4:1
4:1
3:1
3:1
2:1 ~ QE ||
 
|| 1 || 15\46 || 391.304 || [[Amigo]] || [[xenharmonic/1L 2s|1L 2s]] (3-tone)
2:1 ~ QE
[[xenharmonic/3L 1s|3L 1s]] (4-tone)
|-
[[xenharmonic/3L 4s|3L 4s]] (7-tone)
| | 1
[[xenharmonic/3L 7s|3L 7s]] (10-tone)
| | 15\46
| | 391.304
| | [[amigo|Amigo]]
| | [[1L_2s|1L 2s]] (3-tone)
 
[[3L_1s|3L 1s]] (4-tone)
 
[[3L_4s|3L 4s]] (7-tone)
 
[[3L_7s|3L 7s]] (10-tone)
 
3L 10s (13-tone)
3L 10s (13-tone)
3L 13s (16-tone)
3L 13s (16-tone)
3L 16s (19-tone)
3L 16s (19-tone)
3L 19s (21-tone)
3L 19s (21-tone)
3L 21s (24-tone)
3L 21s (24-tone)
3L 24s (27-tone)
3L 24s (27-tone)
3L 27s (30-tone)
3L 27s (30-tone)
3L 30s (33-tone)
3L 30s (33-tone)
3L 33s (36-tone)
3L 33s (36-tone)
3L 36s (39-tone)
3L 36s (39-tone)
3L 39s (42-tone) || 16:15 ~ QE
 
3L 39s (42-tone)
| | 16:15 ~ QE
 
15:1
15:1
14:1
14:1
13:1
13:1
12:1
12:1
11:1
11:1
10:1
10:1
9:1
9:1
8:1
8:1
7:1
7:1
6:1
6:1
5:1
5:1
4:1
4:1
3:1
3:1
2:1 ~ QE ||
 
|| 1 || 17\46 || 443.478 || [[xenharmonic/Sensi|Sensi]] || [[xenharmonic/3L 2s|3L 2s]] (5-tone)
2:1 ~ QE
[[xenharmonic/3L 5s|3L 5s]] (8-tone)
|-
[[xenharmonic/8L 3s|8L 3s]] (11-tone)
| | 1
| | 17\46
| | 443.478
| | [[Sensi|Sensi]]
| | [[3L_2s|3L 2s]] (5-tone)
 
[[3L_5s|3L 5s]] (8-tone)
 
[[8L_3s|8L 3s]] (11-tone)
 
8L 11s (19-tone)
8L 11s (19-tone)
19L 8s (27-tone) || 12:5
 
19L 8s (27-tone)
| | 12:5
 
7:5
7:5
5:2
5:2
3:2 ~ QE, Golden
3:2 ~ QE, Golden
2:1 ||
 
|| 1 || 19\46 || 495.652 || [[xenharmonic/Leapday|Leapday]] || [[xenharmonic/2L 3s|2L 3s]] (5-tone)
2:1
[[xenharmonic/5L 2s|5L 2s]] (7-tone)
|-
[[xenharmonic/5L 7s|5L 7s]] (12-tone)
| | 1
| | 19\46
| | 495.652
| | [[Leapday|Leapday]]
| | [[2L_3s|2L 3s]] (5-tone)
 
[[5L_2s|5L 2s]] (7-tone)
 
[[5L_7s|5L 7s]] (12-tone)
 
12L 5s (17-tone)
12L 5s (17-tone)
17L 12s (29-tone) || 11:8
 
17L 12s (29-tone)
| | 11:8
 
8:3
8:3
5:3 ~ Golden
5:3 ~ Golden
3:2 ~ QE, Golden
3:2 ~ QE, Golden
2:1 ~ QE ||
 
|| 1 || 21\46 || 547.826 || [[xenharmonic/Heinz|Heinz]] || [[xenharmonic/2L 3s|2L 3s]] (5-tone)
2:1 ~ QE
[[xenharmonic/2L 5s|2L 5s]] (7-tone)
|-
[[xenharmonic/2L 7s|2L 7s]] (9-tone)
| | 1
[[xenharmonic/2L 9s|2L 9s]] (11-tone)
| | 21\46
| | 547.826
| | [[Heinz|Heinz]]
| | [[2L_3s|2L 3s]] (5-tone)
 
[[2L_5s|2L 5s]] (7-tone)
 
[[2L_7s|2L 7s]] (9-tone)
 
[[2L_9s|2L 9s]] (11-tone)
 
11L 2s (13-tone)
11L 2s (13-tone)
11L 13s (24-tone)
11L 13s (24-tone)
11L 24s (35-tone) || 17:4
 
11L 24s (35-tone)
| | 17:4
 
13:4
13:4
9:4
9:4
5:4 ~ QE
5:4 ~ QE
4:1
4:1
3:1
3:1
2:1 ~ QE ||
 
|| 2 || 1\46 || 26.087 || [[Ketchup]] ||   ||   ||
2:1 ~ QE
|| 2 || 2\46 || 52.174 || [[xenharmonic/Shrutar|Shrutar]] || 2L 2s (4-tone)
|-
[[xenharmonic/2L 4s|2L 4s]] (6-tone)
| | 2
[[xenharmonic/2L 6s|2L 6s]] (8-tone)
| | 1\46
[[xenharmonic/2L 8s|2L 8s]] (10-tone)
| | 26.087
[[xenharmonic/2L 10s|2L 10s]] (12-tone)
| | [[Ketchup|Ketchup]]
| |  
| |  
|-
| | 2
| | 2\46
| | 52.174
| | [[Shrutar|Shrutar]]
| | 2L 2s (4-tone)
 
[[2L_4s|2L 4s]] (6-tone)
 
[[2L_6s|2L 6s]] (8-tone)
 
[[2L_8s|2L 8s]] (10-tone)
 
[[2L_10s|2L 10s]] (12-tone)
 
2L 12s (14-tone)
2L 12s (14-tone)
2L 14s (16-tone)
2L 14s (16-tone)
2L 16s (18-tone)
2L 16s (18-tone)
2L 18s (20-tone)
2L 18s (20-tone)
2L 20s (22-tone)
2L 20s (22-tone)
22L 2s (24-tone) || 21:2
 
22L 2s (24-tone)
| | 21:2
 
19:2
19:2
17:2
17:2
15:2
15:2
13:2
13:2
11:2
11:2
9:2
9:2
7:2
7:2
5:2
5:2
3:2 ~ QE, Golden
3:2 ~ QE, Golden
2:1 ~ QE ||
 
|| 2 || 3\46 || 78.261 || [[Semivalentine]] || 2L 2s (4-tone)
2:1 ~ QE
[[xenharmonic/2L 4s|2L 4s]] (6-tone)
|-
[[xenharmonic/2L 6s|2L 6s]] (8-tone)
| | 2
[[xenharmonic/2L 8s|2L 8s]] (10-tone)
| | 3\46
[[xenharmonic/2L 10s|2L 10s]] (12-tone)
| | 78.261
| | [[Semivalentine|Semivalentine]]
| | 2L 2s (4-tone)
 
[[2L_4s|2L 4s]] (6-tone)
 
[[2L_6s|2L 6s]] (8-tone)
 
[[2L_8s|2L 8s]] (10-tone)
 
[[2L_10s|2L 10s]] (12-tone)
 
2L 12s (14-tone)
2L 12s (14-tone)
14L 2s (16-tone)
14L 2s (16-tone)
16L 14s (30-tone) || 20:3
 
16L 14s (30-tone)
| | 20:3
 
17:3
17:3
14:3
14:3
11:3
11:3
8:3
8:3
5:3 ~ Golden
5:3 ~ Golden
3:2 ~ QE, Golden
3:2 ~ QE, Golden
2:1 ~ QE ||
 
|| 2 || 4\46 || 104.348 || [[xenharmonic/Srutal|Srutal]]/[[xenharmonic/diaschismic|diaschismic]] || 2L 2s (4-tone)
2:1 ~ QE
[[xenharmonic/2L 4s|2L 4s]] (6-tone)
|-
[[xenharmonic/2L 6s|2L 6s]] (8-tone)
| | 2
[[xenharmonic/2L 8s|2L 8s]] (10-tone)
| | 4\46
[[xenharmonic/10L 2s|10L 2s]] (12-tone)
| | 104.348
| | [[Srutal|Srutal]]/[[Diaschismic|diaschismic]]
| | 2L 2s (4-tone)
 
[[2L_4s|2L 4s]] (6-tone)
 
[[2L_6s|2L 6s]] (8-tone)
 
[[2L_8s|2L 8s]] (10-tone)
 
[[10L_2s|10L 2s]] (12-tone)
 
12L 10s (22-tone)
12L 10s (22-tone)
12L 22s (34-tone) || 19:4
 
12L 22s (34-tone)
| | 19:4
 
15:4
15:4
11:4
11:4
7:4
7:4
4:3 ~ QE
4:3 ~ QE
3:1
3:1
2:1 ~ QE ||
 
|| 2 || 5\46 || 130.435 ||   || 2L 2s (4-tone)
2:1 ~ QE
[[xenharmonic/2L 4s|2L 4s]] (6-tone)
|-
[[xenharmonic/2L 6s|2L 6s]] (8-tone)
| | 2
[[xenharmonic/8L 2s|8L 2s]] (10-tone)
| | 5\46
| | 130.435
| |  
| | 2L 2s (4-tone)
 
[[2L_4s|2L 4s]] (6-tone)
 
[[2L_6s|2L 6s]] (8-tone)
 
[[8L_2s|8L 2s]] (10-tone)
 
8L 10s (18-tone)
8L 10s (18-tone)
18L 10s (28-tone) || 18:5
 
18L 10s (28-tone)
| | 18:5
 
13:5
13:5
8:5 ~ Golden
8:5 ~ Golden
5:3 ~ Golden
5:3 ~ Golden
3:2 ~ QE, Golden
3:2 ~ QE, Golden
2:1 ~ QE ||
 
|| 2 || 6\46 || 156.522 || [[Bison]] || 2L 2s (4-tone)
2:1 ~ QE
[[xenharmonic/2L 4s|2L 4s]] (6-tone)
|-
[[xenharmonic/6L 2s|6L 2s]] (8-tone)
| | 2
| | 6\46
| | 156.522
| | [[Bison|Bison]]
| | 2L 2s (4-tone)
 
[[2L_4s|2L 4s]] (6-tone)
 
[[6L_2s|6L 2s]] (8-tone)
 
8L 6s (14-tone)
8L 6s (14-tone)
8L 14s (22-tone)
8L 14s (22-tone)
8L 22s (30-tone)
8L 22s (30-tone)
8L 30s (38-tone || 17:6
 
8L 30s (38-tone
| | 17:6
 
11:6
11:6
6:5 ~ QE
6:5 ~ QE
5:1
5:1
4:1
4:1
3:1
3:1
2:1 ~ QE ||
 
|| 2 || 7\46 || 182.609 || [[xenharmonic/Unidec|Unidec]]/[[xenharmonic/hendec|hendec]] || 2L 2s (4-tone)
2:1 ~ QE
[[xenharmonic/2L 4s|2L 4s]] (6-tone)
|-
[[xenharmonic/6L 2s|6L 2s]] (8-tone)
| | 2
| | 7\46
| | 182.609
| | [[Unidec|Unidec]]/[[Hendec|hendec]]
| | 2L 2s (4-tone)
 
[[2L_4s|2L 4s]] (6-tone)
 
[[6L_2s|6L 2s]] (8-tone)
 
6L 8s (14-tone)
6L 8s (14-tone)
6L 14s (20-tone)
6L 14s (20-tone)
20L 6s (26-tone) || 16:7
 
20L 6s (26-tone)
| | 16:7
 
9:7
9:7
7:2
7:2
5:2
5:2
3:2 ~ QE, Golden
3:2 ~ QE, Golden
2:1 ~ QE ||
 
|| 2 || 8\46 || 208.696 || [[xenharmonic/Abigail|Abigail]] || 2L 2s (4-tone)
2:1 ~ QE
[[xenharmonic/4L 2s|4L 2s]] (6-tone)
|-
[[xenharmonic/6L 2s|6L 2s]] (8-tone)
| | 2
| | 8\46
| | 208.696
| | [[Abigail|Abigail]]
| | 2L 2s (4-tone)
 
[[4L_2s|4L 2s]] (6-tone)
 
[[6L_2s|6L 2s]] (8-tone)
 
6L 8s (14-tone)
6L 8s (14-tone)
6L 14s (20-tone)
6L 14s (20-tone)
6L 20s (26-tone)
6L 20s (26-tone)
6L 26s (32-tone)
6L 26s (32-tone)
6L 32s (38-tone)
6L 32s (38-tone)
6L 38s (44-tone) || 15:8
 
6L 38s (44-tone)
| | 15:8
 
8:7 ~ QE
8:7 ~ QE
8:1
8:1
7:1
7:1
6:1
6:1
5:1
5:1
4:1
4:1
3:1
3:1
2:1 ~ QE ||
 
|| 2 || 9\46 || 234.783 || [[xenharmonic/Echidnic|Echidnic]] || 2L 2s (4-tone)
2:1 ~ QE
[[xenharmonic/4L 2s|4L 2s]] (6-tone)
|-
[[xenharmonic/6L 4s|6L 4s]] (10-tone)
| | 2
| | 9\46
| | 234.783
| | [[Echidnic|Echidnic]]
| | 2L 2s (4-tone)
 
[[4L_2s|4L 2s]] (6-tone)
 
[[6L_4s|6L 4s]] (10-tone)
 
10L 6s (16-tone)
10L 6s (16-tone)
10L 16s (26-tone)
10L 16s (26-tone)
10L 26s (36-tone) || 14:9
 
10L 26s (36-tone)
| | 14:9
 
9:5
9:5
5:4 ~ QE
5:4 ~ QE
4:1
4:1
3:1
3:1
2:1 ~ QE ||
 
|| 2 || 10\46 || 260.87 || [[Bamity]] || 2L 2s (4-tone)
2:1 ~ QE
[[xenharmonic/4L 2s|4L 2s]] (6-tone)
|-
[[xenharmonic/4L 6s|4L 6s]] (10-tone)
| | 2
| | 10\46
| | 260.87
| | [[Bamity|Bamity]]
| | 2L 2s (4-tone)
 
[[4L_2s|4L 2s]] (6-tone)
 
[[4L_6s|4L 6s]] (10-tone)
 
4L 10s (14-tone)
4L 10s (14-tone)
14L 4s (18-tone)
14L 4s (18-tone)
14L 18s (32-tone) || 13:10
 
14L 18s (32-tone)
| | 13:10
 
10:3
10:3
7:3
7:3
4:3 ~ QE
4:3 ~ QE
3:1
3:1
2:1 ~ QE ||
 
|| 2 || 11\46 || 286.957 || [[Vines]] || 2L 2s (4-tone)
2:1 ~ QE
[[xenharmonic/4L 2s|4L 2s]] (6-tone)
|-
[[xenharmonic/4L 6s|4L 6s]] (10-tone)
| | 2
| | 11\46
| | 286.957
| | [[Vines|Vines]]
| | 2L 2s (4-tone)
 
[[4L_2s|4L 2s]] (6-tone)
 
[[4L_6s|4L 6s]] (10-tone)
 
4L 10s (14-tone)
4L 10s (14-tone)
4L 14s (18-tone)
4L 14s (18-tone)
4L 18s (22-tone)
4L 18s (22-tone)
4L 22s (26-tone)
4L 22s (26-tone)
4L 26s (30-tone)
4L 26s (30-tone)
4L 30s (34-tone)
4L 30s (34-tone)
4L 34s (38-tone)
4L 34s (38-tone)
4L 38s (42-tone) || 12:11 ~ QE
 
4L 38s (42-tone)
| | 12:11 ~ QE
 
11:1
11:1
10:1
10:1
9:1
9:1
8:1
8:1
7:1
7:1
6:1
6:1
5:1
5:1
4:1
4:1
3:1
3:1
2:1 ~ QE ||
|| 23 || 1\46 || 26.087 ||  ||  ||  ||


=Approximation to Mode 8 of the Harmonic Series=  
2:1 ~ QE
|-
| | 23
| | 1\46
| | 26.087
| |
| |
| |
|}
 
=Approximation to Mode 8 of the Harmonic Series=


46edo represents [[xenharmonic/overtone|overtone]]s 8 through 16 (written as [[xenharmonic/JI|JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.
46edo represents [[overtone|overtone]]s 8 through 16 (written as [[JI|JI]] ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.


8\46edo (208.70¢) stands in for frequency ratio [[xenharmonic/9_8|9:8]] (203.91¢).
8\46edo (208.70¢) stands in for frequency ratio [[9/8|9:8]] (203.91¢).
7\46edo (182.61¢) stands in for [[xenharmonic/10_9|10:9]] (182.40¢).
6\46edo (156.52¢) stands in for [[xenharmonic/11_10|11:10]] (165.00¢) and [[xenharmonic/12_11|12:11]] (150.64¢).
5\46edo (130.43¢) stands in for [[xenharmonic/13_12|13:12]] (138.57¢), [[xenharmonic/14_13|14:13]] (128.30¢) and [[xenharmonic/15_14|15:14]] (119.44¢).
4\46edo (104.35¢) stands in for [[xenharmonic/16_15|16:15]] (111.73¢).


=Scales=
7\46edo (182.61¢) stands in for [[10/9|10:9]] (182.40¢).
* [[xenharmonic/plum|plum]]
* [[xenharmonic/sensi5|sensi5]]
* [[xenharmonic/sensi8|sensi8]]
* [[xenharmonic/sensi11|sensi11]]
* [[xenharmonic/sensi19|sensi19]]


=Music=
6\46edo (156.52¢) stands in for [[11/10|11:10]] (165.00¢) and [[12/11|12:11]] (150.64¢).
by [[xenharmonic/Aaron Krister Johnson|Aaron Krister Johnson:]]
[[http://aaronkristerjohnson.bandcamp.com/track/satiesque|Satiesque]]


by [[xenharmonic/Gene Ward Smith|Gene Ward Smith:]]
5\46edo (130.43¢) stands in for [[13/12|13:12]] (138.57¢), [[14/13|14:13]] (128.30¢) and [[15/14|15:14]] (119.44¢).
[[http://www.archive.org/details/Chromosounds|Chromosounds]] [[http://clones.soonlabel.com/public/micro/gene_ward_smith/chromosounds/GWS-GPO-Jazz-chromosounds.mp3|play]]
[[http://www.archive.org/details/MusicForYourEars|Music For Your Ears]] [[http://www.archive.org/download/MusicForYourEars/musicfor.mp3|play]] The central portion is in [[xenharmonic/27edo|27edo]], the rest in 46edo.


by [[xenharmonic/Andrew Heathwaite|Andrew Heathwaite]]: [[@http://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]] [[@http://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]], [[@http://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]], [[@http://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]], [[@http://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]]
4\46edo (104.35¢) stands in for [[16/15|16:15]] (111.73¢).
[[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
[[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/a_seed_planted-starling-46-EDO.mp3|A Seed Planted - (Yet another version: 46 EDO)]] by [[https://soundcloud.com/jdfreivald/a-seed-planted-yet-another|Jake Freivald]]</pre></div>
<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:WikiTextTocRule:14:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:14 --&gt;&lt;!-- ws:start:WikiTextTocRule:15: --&gt;&lt;a href="#x46 tone equal temperament"&gt;46 tone equal temperament&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:15 --&gt;&lt;!-- ws:start:WikiTextTocRule:16: --&gt; | &lt;a href="#x46edo srutis"&gt;46edo srutis&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:16 --&gt;&lt;!-- ws:start:WikiTextTocRule:17: --&gt; | &lt;a href="#Intervals"&gt;Intervals&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:17 --&gt;&lt;!-- ws:start:WikiTextTocRule:18: --&gt; | &lt;a href="#Linear temperaments"&gt;Linear temperaments&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:18 --&gt;&lt;!-- ws:start:WikiTextTocRule:19: --&gt; | &lt;a href="#Approximation to Mode 8 of the Harmonic Series"&gt;Approximation to Mode 8 of the Harmonic Series&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:19 --&gt;&lt;!-- ws:start:WikiTextTocRule:20: --&gt; | &lt;a href="#Scales"&gt;Scales&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:20 --&gt;&lt;!-- ws:start:WikiTextTocRule:21: --&gt; | &lt;a href="#Music"&gt;Music&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:21 --&gt;&lt;!-- ws:start:WikiTextTocRule:22: --&gt;
&lt;!-- ws:end:WikiTextTocRule:22 --&gt;&lt;hr /&gt;
&lt;br /&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-family: 'Times New Roman',Times,serif; font-size: 113%;"&gt;46 tone equal temperament&lt;/span&gt;&lt;/h1&gt;
The 46 equal temperament, often abbreviated 46-tET, 46-EDO, or 46-ET, is the scale derived by dividing the &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/octave"&gt;octave&lt;/a&gt; into 46 equally-sized steps. Each step represents a frequency ratio of 26.087 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent"&gt;cent&lt;/a&gt;s, an interval close in size to &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/66_65"&gt;66/65&lt;/a&gt;, the interval from &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/13_11"&gt;13/11&lt;/a&gt; to &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/6_5"&gt;6/5&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
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. &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Rank%20two%20temperaments"&gt;Rank two temperaments&lt;/a&gt; it supports include sensi, valentine, shrutar, rodan, leapday and unidec. The &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/11-limit"&gt;11-limit&lt;/a&gt; &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Target%20tunings"&gt;minimax&lt;/a&gt; tuning for &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/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 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/13-limit"&gt;13-limit&lt;/a&gt;, though others award that distinction to &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/41edo"&gt;41edo&lt;/a&gt;. In fact, while 41 is a &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists"&gt;zeta integral edo&lt;/a&gt; but not a &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists"&gt;zeta gap edo&lt;/a&gt;, 46 is zeta gap but not zeta integral.&lt;br /&gt;
&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 &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/just%20fifth"&gt;just fifth&lt;/a&gt; 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;
&lt;br /&gt;
46edo can be treated as two &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/23edo"&gt;23edo&lt;/a&gt;'s separated by an interval of 26.087 cents.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="x46edo srutis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;46edo srutis&lt;/h1&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Magic22%20as%20srutis#shrutar22assrutis"&gt;Shrutar22 as srutis&lt;/a&gt; describes a possible use of 46edo for &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Indian"&gt;Indian&lt;/a&gt; music.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Intervals&lt;/h1&gt;


&lt;table class="wiki_table"&gt;
=Scales=
    &lt;tr&gt;
<ul><li>[[plum|plum]]</li><li>[[sensi5|sensi5]]</li><li>[[sensi8|sensi8]]</li><li>[[sensi11|sensi11]]</li><li>[[sensi19|sensi19]]</li></ul>
        &lt;th&gt;degrees of 46edo&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;solfege&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;cents value&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;approximate ratios&lt;br /&gt;
in the &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17-limit"&gt;17-limit&lt;/a&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th colspan="3"&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;ups and downs notation&lt;/a&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;do&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0.00&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1/1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;perfect unison&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;di&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26.087&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;up unison&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;D^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;ro&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;52.174&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downminor 2nd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vm2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Ebv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;rih&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;78.261&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;minor 2nd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;m2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Eb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;ra&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;104.348&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/15, 17/16, 18/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upminor 2nd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^m2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Eb^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;ru (as in supraminor)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;130.435&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/12, 14/13, 15/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downmid 2nd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;v~2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Eb^^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;ruh (as in submajor)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;156.522&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12/11, 11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upmid 2nd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^~2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Evv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;reh&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;182.609&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downmajor 2nd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vM2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Ev&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;re&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;208.696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8, 17/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;major 2nd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;M2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;E&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;ri&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;234.783&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/7, 15/13*&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upmajor 2nd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^M2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;E^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;ma&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;260.87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/6, 15/13*&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downminor 3rd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vm3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Fv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;meh&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;286.957&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/11, 20/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;minor 3rd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;m3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;F&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;me&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;313.043&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upminor 3rd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^m3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;F^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;mu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;339.13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/9, 17/14&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downmid 3rd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;v~3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;F^^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;muh&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;365.217&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upmid 3rd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^~3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;F#vv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;mi&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;391.304&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downmajor 3rd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vM3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;F#v&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;maa&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;417.391&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;major 3rd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;M3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;F#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;mo&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;443.478&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/7, 13/10, 22/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upmajor 3rd&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^M3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;F#^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;fe&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;469.565&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;down 4th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;v4&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Gv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;fa&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;495.652&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;perfect 4th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P4&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;fih&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;521.739&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;up 4th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^4&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;G^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;fu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;547.826&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/8, 15/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;double-up 4th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^^4&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;G^^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;fi&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;573.913&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/5, 18/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;double-down aug 4th,&lt;br /&gt;
dim 5th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vvA4, d5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;G#vv, Ab&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;seh&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;600&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17/12, 24/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downaug 4th, updim 5th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vA4, ^d5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;G#v, Ab^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;se&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;626.087&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/7, 13/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;aug 4th, double-up dim 5th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;A4, ^^d5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;G#, Ab^^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;su&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;652.174&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/11, 22/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;double-down 5th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vv5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Avv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;sih&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;678.261&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;down 5th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;v5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Av&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;sol&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;704.348&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;perfect 5th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;si&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;730.435&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;up 5th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;A^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;lo&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;756.522&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14/9, 20/13, 17/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downminor 6th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vm6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Bbv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;leh&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;782.609&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;minor 6th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;m6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Bb&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;le&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;808.696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upminor 6th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^m6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Bb^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;lu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;834.783&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downmid 6th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;v~6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Bb^^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;luh&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;860.87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18/11, 28/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upmid 6th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^~6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Bvv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;la&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;886.957&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downmajor 6th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vM6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Bv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;laa&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;913.043&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22/13, 17/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;major 6th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;M6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;li&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;939.13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12/7, 26/15*&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upmajor 6th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^M6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;B^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;37&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;ta&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;965.217&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7/4, 26/15*&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downminor 7th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vm7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Cv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;38&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;teh&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;991.304&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/9, 30/17&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;minor 7th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;m7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;39&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;te&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1017.391&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upminor 7th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^m7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;40&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;tu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1043.478&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/6, 20/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downmid 7th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;v~7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C^^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;41&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;tuh&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1069.565&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24/13, 13/7, 28/15&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upmid 7th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^~7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C#vv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;42&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;ti&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1095.652&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15/8, 32/17, 17/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;downmajor 7th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;vM7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C#v&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;43&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;taa&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1121.739&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;major 7th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;M7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C#&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;44&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;to&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1147.826&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;upmajor 7th&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;^M7&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C#^&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;45&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;da&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1173.913&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;down 8ve&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;v8&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;Dv&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;46&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;do&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1200&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2/1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;perfect 8ve&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;P8&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


*15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/consistent"&gt;consistent&lt;/a&gt; in the &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/15-limit"&gt;15-limit&lt;/a&gt;.&lt;br /&gt;
=Music=
&lt;br /&gt;
by [[Aaron_Krister_Johnson|Aaron Krister Johnson:]]
Combining ups and downs notation with &lt;a class="wiki_link" href="/Kite%27s%20color%20notation"&gt;color notation&lt;/a&gt;, qualities can be loosely associated with colors:&lt;br /&gt;


[http://aaronkristerjohnson.bandcamp.com/track/satiesque Satiesque]


&lt;table class="wiki_table"&gt;
by [[Gene_Ward_Smith|Gene Ward Smith:]]
    &lt;tr&gt;
        &lt;th&gt;quality&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;color&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;monzo format&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;examples&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;downminor&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;blue&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;{a, b, 0, 1}&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;7/6, 7/4&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;minor&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;fourthward white&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;{a, b}, b &amp;lt; -1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;32/27, 16/9&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;upminor&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;green&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;{a, b, -1}&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;6/5, 9/5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;downmid&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;jade&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;{a, b, 0, 0, 1}&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;11/9, 11/6&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;upmid&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;amber&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;{a, b, 0, 0, -1}&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;12/11, 18/11&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;downmajor&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;yellow&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;{a, b, 1}&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;5/4, 5/3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;major&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;fifthward white&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;{a, b}, b &amp;gt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;9/8, 27/16&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;upmajor&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;red&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;{a, b, 0, -1}&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;9/7, 12/7&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


All 46edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads:&lt;br /&gt;
[http://www.archive.org/details/Chromosounds Chromosounds] [http://clones.soonlabel.com/public/micro/gene_ward_smith/chromosounds/GWS-GPO-Jazz-chromosounds.mp3 play]


[http://www.archive.org/details/MusicForYourEars Music For Your Ears] [http://www.archive.org/download/MusicForYourEars/musicfor.mp3 play] The central portion is in [[27edo|27edo]], the rest in 46edo.


&lt;table class="wiki_table"&gt;
by [[Andrew_Heathwaite|Andrew Heathwaite]]: [http://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] [http://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], [http://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], [http://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], [http://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]
    &lt;tr&gt;
        &lt;th&gt;color of the 3rd&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;JI chord&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;notes as edosteps&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;notes of C chord&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;written name&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;spoken name&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;blue&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;6:7:9&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0-10-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C Ebv G&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C.vm&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C downminor&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;green&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;10:12:15&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0-12-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C Eb^ G&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C.^m&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C upminor&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;jade&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;18:22:27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0-13-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C Eb^^ G&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C.v~&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C downmid&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;yellow&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;4:5:6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0-15-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C Ev G&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C.v&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C downmajor or C dot down&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;red&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;14:18:27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0-17-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C E^ G&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C.^&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C upmajor or C dot up&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


For a more complete list, see &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs"&gt;Ups and Downs Notation - Chord names in other EDOs&lt;/a&gt;.&lt;br /&gt;
[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
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Linear temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Linear temperaments&lt;/h1&gt;


&lt;table class="wiki_table"&gt;
[http://soonlabel.com/xenharmonic/wp-content/uploads/2014/02/Bach_Contrapunctus_4-Jeux14-E46.mp3 Bach Contrapunctus 4] Claudi Meneghin version
    &lt;tr&gt;
        &lt;th&gt;Periods&lt;br /&gt;
per octave&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Cents&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Temperaments&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;MOS/DE Scales available&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;L:s&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26.087&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;78.261&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Valentine"&gt;Valentine&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1L 14s (15-tone)&lt;br /&gt;
15L 1s (16-tone)&lt;br /&gt;
16L 15s (31-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4:3 ~ &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Maximal%20evenness"&gt;quasi-equal&lt;/a&gt;&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;130.435&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Twothirdtonic"&gt;Twothirdtonic&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/1L%208s"&gt;1L 8s&lt;/a&gt; (9-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/9L%201s"&gt;9L 1s&lt;/a&gt; (10-tone)&lt;br /&gt;
9L 10s (19-tone)&lt;br /&gt;
9L 19s (28-tone)&lt;br /&gt;
9L 28s (37-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6:5 ~ QE&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;182.609&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortone"&gt;Minortone&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/1L%205s"&gt;1L 5s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/6L%201s"&gt;6L 1s&lt;/a&gt; (7-tone)&lt;br /&gt;
7L 6s (13-tone)&lt;br /&gt;
13L 7s (20-tone)&lt;br /&gt;
13L 20s (33-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11:7&lt;br /&gt;
7:4&lt;br /&gt;
4:3 ~ QE&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;234.783&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Rodan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/1L%204s"&gt;1L 4s&lt;/a&gt; (5-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/1L%205s"&gt;1L 5s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/5L%206s"&gt;5L 6s&lt;/a&gt; (11-tone)&lt;br /&gt;
5L 11s (16-tone)&lt;br /&gt;
5L 16s (21-tone)&lt;br /&gt;
5L 21s (26-tone)&lt;br /&gt;
5L 26s (31-tone)&lt;br /&gt;
5L 31s (36-tone)&lt;br /&gt;
5L 36s (41-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10:9 ~QE&lt;br /&gt;
9:1&lt;br /&gt;
8:1&lt;br /&gt;
7:1&lt;br /&gt;
6:1&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;286.957&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%201s"&gt;4L 1s&lt;/a&gt; (5-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%205s"&gt;4L 5s&lt;/a&gt; (9-tone)&lt;br /&gt;
4L 9s (13-tone)&lt;br /&gt;
4L 13s (17-tone)&lt;br /&gt;
4L 17s (21-tone)&lt;br /&gt;
21L 4s (25-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11:2&lt;br /&gt;
9:2&lt;br /&gt;
7:2&lt;br /&gt;
5:2&lt;br /&gt;
3:2 ~ QE, Golden&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;339.13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Amity"&gt;Amity&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hitchcock"&gt;hitchcock&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%203s"&gt;4L 3s&lt;/a&gt; (7-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/7L%204s"&gt;7L 4s&lt;/a&gt; (11-tone)&lt;br /&gt;
7L 11s (18-tone)&lt;br /&gt;
7L 18s (25-tone)&lt;br /&gt;
7L 25s (32-tone)&lt;br /&gt;
7L 32s (39-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7:6 ~ QE&lt;br /&gt;
6:1&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;391.304&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Amigo"&gt;Amigo&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/1L%202s"&gt;1L 2s&lt;/a&gt; (3-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/3L%201s"&gt;3L 1s&lt;/a&gt; (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/3L%204s"&gt;3L 4s&lt;/a&gt; (7-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/3L%207s"&gt;3L 7s&lt;/a&gt; (10-tone)&lt;br /&gt;
3L 10s (13-tone)&lt;br /&gt;
3L 13s (16-tone)&lt;br /&gt;
3L 16s (19-tone)&lt;br /&gt;
3L 19s (21-tone)&lt;br /&gt;
3L 21s (24-tone)&lt;br /&gt;
3L 24s (27-tone)&lt;br /&gt;
3L 27s (30-tone)&lt;br /&gt;
3L 30s (33-tone)&lt;br /&gt;
3L 33s (36-tone)&lt;br /&gt;
3L 36s (39-tone)&lt;br /&gt;
3L 39s (42-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16:15 ~ QE&lt;br /&gt;
15:1&lt;br /&gt;
14:1&lt;br /&gt;
13:1&lt;br /&gt;
12:1&lt;br /&gt;
11:1&lt;br /&gt;
10:1&lt;br /&gt;
9:1&lt;br /&gt;
8:1&lt;br /&gt;
7:1&lt;br /&gt;
6:1&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;443.478&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Sensi"&gt;Sensi&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/3L%202s"&gt;3L 2s&lt;/a&gt; (5-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/3L%205s"&gt;3L 5s&lt;/a&gt; (8-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/8L%203s"&gt;8L 3s&lt;/a&gt; (11-tone)&lt;br /&gt;
8L 11s (19-tone)&lt;br /&gt;
19L 8s (27-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12:5&lt;br /&gt;
7:5&lt;br /&gt;
5:2&lt;br /&gt;
3:2 ~ QE, Golden&lt;br /&gt;
2:1&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;495.652&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Leapday"&gt;Leapday&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%203s"&gt;2L 3s&lt;/a&gt; (5-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/5L%202s"&gt;5L 2s&lt;/a&gt; (7-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/5L%207s"&gt;5L 7s&lt;/a&gt; (12-tone)&lt;br /&gt;
12L 5s (17-tone)&lt;br /&gt;
17L 12s (29-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11:8&lt;br /&gt;
8:3&lt;br /&gt;
5:3 ~ Golden&lt;br /&gt;
3:2 ~ QE, Golden&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;547.826&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Heinz"&gt;Heinz&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%203s"&gt;2L 3s&lt;/a&gt; (5-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%205s"&gt;2L 5s&lt;/a&gt; (7-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%207s"&gt;2L 7s&lt;/a&gt; (9-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%209s"&gt;2L 9s&lt;/a&gt; (11-tone)&lt;br /&gt;
11L 2s (13-tone)&lt;br /&gt;
11L 13s (24-tone)&lt;br /&gt;
11L 24s (35-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17:4&lt;br /&gt;
13:4&lt;br /&gt;
9:4&lt;br /&gt;
5:4 ~ QE&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26.087&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Ketchup"&gt;Ketchup&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;52.174&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Shrutar"&gt;Shrutar&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2L 2s (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s"&gt;2L 4s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%206s"&gt;2L 6s&lt;/a&gt; (8-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%208s"&gt;2L 8s&lt;/a&gt; (10-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%2010s"&gt;2L 10s&lt;/a&gt; (12-tone)&lt;br /&gt;
2L 12s (14-tone)&lt;br /&gt;
2L 14s (16-tone)&lt;br /&gt;
2L 16s (18-tone)&lt;br /&gt;
2L 18s (20-tone)&lt;br /&gt;
2L 20s (22-tone)&lt;br /&gt;
22L 2s (24-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21:2&lt;br /&gt;
19:2&lt;br /&gt;
17:2&lt;br /&gt;
15:2&lt;br /&gt;
13:2&lt;br /&gt;
11:2&lt;br /&gt;
9:2&lt;br /&gt;
7:2&lt;br /&gt;
5:2&lt;br /&gt;
3:2 ~ QE, Golden&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;78.261&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Semivalentine"&gt;Semivalentine&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2L 2s (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s"&gt;2L 4s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%206s"&gt;2L 6s&lt;/a&gt; (8-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%208s"&gt;2L 8s&lt;/a&gt; (10-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%2010s"&gt;2L 10s&lt;/a&gt; (12-tone)&lt;br /&gt;
2L 12s (14-tone)&lt;br /&gt;
14L 2s (16-tone)&lt;br /&gt;
16L 14s (30-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20:3&lt;br /&gt;
17:3&lt;br /&gt;
14:3&lt;br /&gt;
11:3&lt;br /&gt;
8:3&lt;br /&gt;
5:3 ~ Golden&lt;br /&gt;
3:2 ~ QE, Golden&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;104.348&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Srutal"&gt;Srutal&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/diaschismic"&gt;diaschismic&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2L 2s (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s"&gt;2L 4s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%206s"&gt;2L 6s&lt;/a&gt; (8-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%208s"&gt;2L 8s&lt;/a&gt; (10-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/10L%202s"&gt;10L 2s&lt;/a&gt; (12-tone)&lt;br /&gt;
12L 10s (22-tone)&lt;br /&gt;
12L 22s (34-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19:4&lt;br /&gt;
15:4&lt;br /&gt;
11:4&lt;br /&gt;
7:4&lt;br /&gt;
4:3 ~ QE&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;130.435&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2L 2s (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s"&gt;2L 4s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%206s"&gt;2L 6s&lt;/a&gt; (8-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/8L%202s"&gt;8L 2s&lt;/a&gt; (10-tone)&lt;br /&gt;
8L 10s (18-tone)&lt;br /&gt;
18L 10s (28-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18:5&lt;br /&gt;
13:5&lt;br /&gt;
8:5 ~ Golden&lt;br /&gt;
5:3 ~ Golden&lt;br /&gt;
3:2 ~ QE, Golden&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;156.522&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Bison"&gt;Bison&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2L 2s (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s"&gt;2L 4s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/6L%202s"&gt;6L 2s&lt;/a&gt; (8-tone)&lt;br /&gt;
8L 6s (14-tone)&lt;br /&gt;
8L 14s (22-tone)&lt;br /&gt;
8L 22s (30-tone)&lt;br /&gt;
8L 30s (38-tone&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17:6&lt;br /&gt;
11:6&lt;br /&gt;
6:5 ~ QE&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;182.609&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Unidec"&gt;Unidec&lt;/a&gt;/&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hendec"&gt;hendec&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2L 2s (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%204s"&gt;2L 4s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/6L%202s"&gt;6L 2s&lt;/a&gt; (8-tone)&lt;br /&gt;
6L 8s (14-tone)&lt;br /&gt;
6L 14s (20-tone)&lt;br /&gt;
20L 6s (26-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16:7&lt;br /&gt;
9:7&lt;br /&gt;
7:2&lt;br /&gt;
5:2&lt;br /&gt;
3:2 ~ QE, Golden&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;208.696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Abigail"&gt;Abigail&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2L 2s (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%202s"&gt;4L 2s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/6L%202s"&gt;6L 2s&lt;/a&gt; (8-tone)&lt;br /&gt;
6L 8s (14-tone)&lt;br /&gt;
6L 14s (20-tone)&lt;br /&gt;
6L 20s (26-tone)&lt;br /&gt;
6L 26s (32-tone)&lt;br /&gt;
6L 32s (38-tone)&lt;br /&gt;
6L 38s (44-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15:8&lt;br /&gt;
8:7 ~ QE&lt;br /&gt;
8:1&lt;br /&gt;
7:1&lt;br /&gt;
6:1&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;234.783&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Echidnic"&gt;Echidnic&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2L 2s (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%202s"&gt;4L 2s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/6L%204s"&gt;6L 4s&lt;/a&gt; (10-tone)&lt;br /&gt;
10L 6s (16-tone)&lt;br /&gt;
10L 16s (26-tone)&lt;br /&gt;
10L 26s (36-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14:9&lt;br /&gt;
9:5&lt;br /&gt;
5:4 ~ QE&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;260.87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Bamity"&gt;Bamity&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2L 2s (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%202s"&gt;4L 2s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%206s"&gt;4L 6s&lt;/a&gt; (10-tone)&lt;br /&gt;
4L 10s (14-tone)&lt;br /&gt;
14L 4s (18-tone)&lt;br /&gt;
14L 18s (32-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13:10&lt;br /&gt;
10:3&lt;br /&gt;
7:3&lt;br /&gt;
4:3 ~ QE&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;286.957&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/Vines"&gt;Vines&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2L 2s (4-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%202s"&gt;4L 2s&lt;/a&gt; (6-tone)&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%206s"&gt;4L 6s&lt;/a&gt; (10-tone)&lt;br /&gt;
4L 10s (14-tone)&lt;br /&gt;
4L 14s (18-tone)&lt;br /&gt;
4L 18s (22-tone)&lt;br /&gt;
4L 22s (26-tone)&lt;br /&gt;
4L 26s (30-tone)&lt;br /&gt;
4L 30s (34-tone)&lt;br /&gt;
4L 34s (38-tone)&lt;br /&gt;
4L 38s (42-tone)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12:11 ~ QE&lt;br /&gt;
11:1&lt;br /&gt;
10:1&lt;br /&gt;
9:1&lt;br /&gt;
8:1&lt;br /&gt;
7:1&lt;br /&gt;
6:1&lt;br /&gt;
5:1&lt;br /&gt;
4:1&lt;br /&gt;
3:1&lt;br /&gt;
2:1 ~ QE&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26.087&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/a_seed_planted-starling-46-EDO.mp3 A Seed Planted - (Yet another version: 46 EDO)] by [https://soundcloud.com/jdfreivald/a-seed-planted-yet-another Jake Freivald]      [[Category:46edo]]
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Approximation to Mode 8 of the Harmonic Series"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Approximation to Mode 8 of the Harmonic Series&lt;/h1&gt;
[[Category:chromosounds]]
&lt;br /&gt;
[[Category:edo]]
46edo represents &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/overtone"&gt;overtone&lt;/a&gt;s 8 through 16 (written as &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/JI"&gt;JI&lt;/a&gt; ratios 8:9:10:11:12:13:14:15:16) with degrees 0, 8, 15, 21, 27, 32, 37, 42, 46. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.&lt;br /&gt;
[[Category:leapday]]
&lt;br /&gt;
[[Category:listen]]
8\46edo (208.70¢) stands in for frequency ratio &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/9_8"&gt;9:8&lt;/a&gt; (203.91¢).&lt;br /&gt;
[[Category:sensi]]
7\46edo (182.61¢) stands in for &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/10_9"&gt;10:9&lt;/a&gt; (182.40¢).&lt;br /&gt;
[[Category:shrutar]]
6\46edo (156.52¢) stands in for &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/11_10"&gt;11:10&lt;/a&gt; (165.00¢) and &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/12_11"&gt;12:11&lt;/a&gt; (150.64¢).&lt;br /&gt;
[[Category:todo:unify_precision]]
5\46edo (130.43¢) stands in for &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/13_12"&gt;13:12&lt;/a&gt; (138.57¢), &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/14_13"&gt;14:13&lt;/a&gt; (128.30¢) and &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/15_14"&gt;15:14&lt;/a&gt; (119.44¢).&lt;br /&gt;
[[Category:valentine]]
4\46edo (104.35¢) stands in for &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/16_15"&gt;16:15&lt;/a&gt; (111.73¢).&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Scales&lt;/h1&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/plum"&gt;plum&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5"&gt;sensi5&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8"&gt;sensi8&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11"&gt;sensi11&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19"&gt;sensi19&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Music&lt;/h1&gt;
by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Aaron%20Krister%20Johnson"&gt;Aaron Krister Johnson:&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://aaronkristerjohnson.bandcamp.com/track/satiesque" rel="nofollow"&gt;Satiesque&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gene%20Ward%20Smith"&gt;Gene Ward Smith:&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/details/Chromosounds" rel="nofollow"&gt;Chromosounds&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/chromosounds/GWS-GPO-Jazz-chromosounds.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://www.archive.org/details/MusicForYourEars" rel="nofollow"&gt;Music For Your Ears&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.archive.org/download/MusicForYourEars/musicfor.mp3" rel="nofollow"&gt;play&lt;/a&gt; The central portion is in &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/27edo"&gt;27edo&lt;/a&gt;, the rest in 46edo.&lt;br /&gt;
&lt;br /&gt;
by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Andrew%20Heathwaite"&gt;Andrew Heathwaite&lt;/a&gt;: &lt;a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/rats" rel="nofollow" target="_blank"&gt;Rats&lt;/a&gt;, &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2001%20Rats.mp3" rel="nofollow"&gt;play&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/tumbledown-stew" rel="nofollow" target="_blank"&gt;Tumbledown Stew&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2012%20Tumbledown%20Stew.mp3" rel="nofollow"&gt;play&lt;/a&gt;, &lt;a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-1" rel="nofollow" target="_blank"&gt;Hypnocloudsmack 1&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2004%20Hypnocloudsmack%201.mp3" rel="nofollow"&gt;play&lt;/a&gt;, &lt;a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-2" rel="nofollow" target="_blank"&gt;Hypnocloudsmack 2&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2009%20Hypnocloudsmack%202.mp3" rel="nofollow"&gt;play&lt;/a&gt;, &lt;a class="wiki_link_ext" href="http://andrewheathwaite.bandcamp.com/track/hypnocloudsmack-3" rel="nofollow" target="_blank"&gt;Hypnocloudsmack 3&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2013%20Hypnocloudsmack%203.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2013/10/Bach_BWV_1029_E46-Alto-Sax-+-Harpsichord.mp3" rel="nofollow"&gt;Bach BWV 1029 in 46 equal&lt;/a&gt; Claudi Meneghin version&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://soonlabel.com/xenharmonic/wp-content/uploads/2014/02/Bach_Contrapunctus_4-Jeux14-E46.mp3" rel="nofollow"&gt;Bach Contrapunctus 4&lt;/a&gt; Claudi Meneghin version&lt;br /&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/a_seed_planted-starling-46-EDO.mp3" rel="nofollow"&gt;A Seed Planted - (Yet another version: 46 EDO)&lt;/a&gt; by &lt;a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/a-seed-planted-yet-another" rel="nofollow"&gt;Jake Freivald&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

46 tone equal temperament

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.

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 minimax tuning for 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. In fact, while 41 is a zeta integral edo but not a zeta gap edo, 46 is zeta gap but not zeta integral.

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.

46edo can be treated as two 23edo's separated by an interval of 26.087 cents.

46edo srutis

Shrutar22 as srutis describes a possible use of 46edo for Indian music.

Intervals

degrees of 46edo solfege cents value approximate ratios

in the 17-limit

ups and downs notation
0 do 0.00 1/1 perfect unison P1 D
1 di 26.087 up unison ^1 D^
2 ro 52.174 downminor 2nd vm2 Ebv
3 rih 78.261 minor 2nd m2 Eb
4 ra 104.348 16/15, 17/16, 18/17 upminor 2nd ^m2 Eb^
5 ru (as in supraminor) 130.435 13/12, 14/13, 15/14 downmid 2nd v~2 Eb^^
6 ruh (as in submajor) 156.522 12/11, 11/10 upmid 2nd ^~2 Evv
7 reh 182.609 10/9 downmajor 2nd vM2 Ev
8 re 208.696 9/8, 17/15 major 2nd M2 E
9 ri 234.783 8/7, 15/13* upmajor 2nd ^M2 E^
10 ma 260.87 7/6, 15/13* downminor 3rd vm3 Fv
11 meh 286.957 13/11, 20/17 minor 3rd m3 F
12 me 313.043 6/5 upminor 3rd ^m3 F^
13 mu 339.13 11/9, 17/14 downmid 3rd v~3 F^^
14 muh 365.217 16/13 upmid 3rd ^~3 F#vv
15 mi 391.304 5/4 downmajor 3rd vM3 F#v
16 maa 417.391 14/11 major 3rd M3 F#
17 mo 443.478 9/7, 13/10, 22/17 upmajor 3rd ^M3 F#^
18 fe 469.565 17/13 down 4th v4 Gv
19 fa 495.652 4/3 perfect 4th P4 G
20 fih 521.739 up 4th ^4 G^
21 fu 547.826 11/8, 15/11 double-up 4th ^^4 G^^
22 fi 573.913 7/5, 18/13 double-down aug 4th,

dim 5th

vvA4, d5 G#vv, Ab
23 seh 600 17/12, 24/17 downaug 4th, updim 5th vA4, ^d5 G#v, Ab^
24 se 626.087 10/7, 13/9 aug 4th, double-up dim 5th A4, ^^d5 G#, Ab^^
25 su 652.174 16/11, 22/15 double-down 5th vv5 Avv
26 sih 678.261 down 5th v5 Av
27 sol 704.348 3/2 perfect 5th P5 A
28 si 730.435 26/17 up 5th ^5 A^
29 lo 756.522 14/9, 20/13, 17/11 downminor 6th vm6 Bbv
30 leh 782.609 11/7 minor 6th m6 Bb
31 le 808.696 8/5 upminor 6th ^m6 Bb^
32 lu 834.783 13/8 downmid 6th v~6 Bb^^
33 luh 860.87 18/11, 28/17 upmid 6th ^~6 Bvv
34 la 886.957 5/3 downmajor 6th vM6 Bv
35 laa 913.043 22/13, 17/10 major 6th M6 B
36 li 939.13 12/7, 26/15* upmajor 6th ^M6 B^
37 ta 965.217 7/4, 26/15* downminor 7th vm7 Cv
38 teh 991.304 16/9, 30/17 minor 7th m7 C
39 te 1017.391 9/5 upminor 7th ^m7 C^
40 tu 1043.478 11/6, 20/11 downmid 7th v~7 C^^
41 tuh 1069.565 24/13, 13/7, 28/15 upmid 7th ^~7 C#vv
42 ti 1095.652 15/8, 32/17, 17/9 downmajor 7th vM7 C#v
43 taa 1121.739 major 7th M7 C#
44 to 1147.826 upmajor 7th ^M7 C#^
45 da 1173.913 down 8ve v8 Dv
46 do 1200 2/1 perfect 8ve P8 D
  • 15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not consistent in the 15-limit.

Combining ups and downs notation with color notation, qualities can be loosely associated with colors:

quality color monzo format examples
downminor blue {a, b, 0, 1} 7/6, 7/4
minor fourthward white {a, b}, b < -1 32/27, 16/9
upminor green {a, b, -1} 6/5, 9/5
downmid jade {a, b, 0, 0, 1} 11/9, 11/6
upmid amber {a, b, 0, 0, -1} 12/11, 18/11
downmajor yellow {a, b, 1} 5/4, 5/3
major fifthward white {a, b}, b > 1 9/8, 27/16
upmajor red {a, b, 0, -1} 9/7, 12/7

All 46edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads:

color of the 3rd JI chord notes as edosteps notes of C chord written name spoken name
blue 6:7:9 0-10-27 C Ebv G C.vm C downminor
green 10:12:15 0-12-27 C Eb^ G C.^m C upminor
jade 18:22:27 0-13-27 C Eb^^ G C.v~ C downmid
yellow 4:5:6 0-15-27 C Ev G C.v C downmajor or C dot down
red 14:18:27 0-17-27 C E^ G C.^ C upmajor or C dot up

For a more complete list, see Ups and Downs Notation - Chord names in other EDOs.

Linear temperaments

Periods

per octave

Generator Cents Temperaments MOS/DE Scales available L:s
1 1\46 26.087
1 3\46 78.261 Valentine 1L 14s (15-tone)

15L 1s (16-tone)

16L 15s (31-tone)

4:3 ~ quasi-equal

3:1

2:1 ~ QE

1 5\46 130.435 Twothirdtonic 1L 8s (9-tone)

9L 1s (10-tone)

9L 10s (19-tone)

9L 19s (28-tone)

9L 28s (37-tone)

6:5 ~ QE

5:1

4:1

3:1

2:1 ~ QE

1 7\46 182.609 Minortone 1L 5s (6-tone)

6L 1s (7-tone)

7L 6s (13-tone)

13L 7s (20-tone)

13L 20s (33-tone)

11:7

7:4

4:3 ~ QE

3:1

2:1 ~ QE

1 9\46 234.783 Rodan 1L 4s (5-tone)

1L 5s (6-tone)

5L 6s (11-tone)

5L 11s (16-tone)

5L 16s (21-tone)

5L 21s (26-tone)

5L 26s (31-tone)

5L 31s (36-tone)

5L 36s (41-tone)

10:9 ~QE

9:1

8:1

7:1

6:1

5:1

4:1

3:1

2:1 ~ QE

1 11\46 286.957 4L 1s (5-tone)

4L 5s (9-tone)

4L 9s (13-tone)

4L 13s (17-tone)

4L 17s (21-tone)

21L 4s (25-tone)

11:2

9:2

7:2

5:2

3:2 ~ QE, Golden

2:1 ~ QE

1 13\46 339.13 Amity/hitchcock 4L 3s (7-tone)

7L 4s (11-tone)

7L 11s (18-tone)

7L 18s (25-tone)

7L 25s (32-tone)

7L 32s (39-tone)

7:6 ~ QE

6:1

5:1

4:1

3:1

2:1 ~ QE

1 15\46 391.304 Amigo 1L 2s (3-tone)

3L 1s (4-tone)

3L 4s (7-tone)

3L 7s (10-tone)

3L 10s (13-tone)

3L 13s (16-tone)

3L 16s (19-tone)

3L 19s (21-tone)

3L 21s (24-tone)

3L 24s (27-tone)

3L 27s (30-tone)

3L 30s (33-tone)

3L 33s (36-tone)

3L 36s (39-tone)

3L 39s (42-tone)

16:15 ~ QE

15:1

14:1

13:1

12:1

11:1

10:1

9:1

8:1

7:1

6:1

5:1

4:1

3:1

2:1 ~ QE

1 17\46 443.478 Sensi 3L 2s (5-tone)

3L 5s (8-tone)

8L 3s (11-tone)

8L 11s (19-tone)

19L 8s (27-tone)

12:5

7:5

5:2

3:2 ~ QE, Golden

2:1

1 19\46 495.652 Leapday 2L 3s (5-tone)

5L 2s (7-tone)

5L 7s (12-tone)

12L 5s (17-tone)

17L 12s (29-tone)

11:8

8:3

5:3 ~ Golden

3:2 ~ QE, Golden

2:1 ~ QE

1 21\46 547.826 Heinz 2L 3s (5-tone)

2L 5s (7-tone)

2L 7s (9-tone)

2L 9s (11-tone)

11L 2s (13-tone)

11L 13s (24-tone)

11L 24s (35-tone)

17:4

13:4

9:4

5:4 ~ QE

4:1

3:1

2:1 ~ QE

2 1\46 26.087 Ketchup
2 2\46 52.174 Shrutar 2L 2s (4-tone)

2L 4s (6-tone)

2L 6s (8-tone)

2L 8s (10-tone)

2L 10s (12-tone)

2L 12s (14-tone)

2L 14s (16-tone)

2L 16s (18-tone)

2L 18s (20-tone)

2L 20s (22-tone)

22L 2s (24-tone)

21:2

19:2

17:2

15:2

13:2

11:2

9:2

7:2

5:2

3:2 ~ QE, Golden

2:1 ~ QE

2 3\46 78.261 Semivalentine 2L 2s (4-tone)

2L 4s (6-tone)

2L 6s (8-tone)

2L 8s (10-tone)

2L 10s (12-tone)

2L 12s (14-tone)

14L 2s (16-tone)

16L 14s (30-tone)

20:3

17:3

14:3

11:3

8:3

5:3 ~ Golden

3:2 ~ QE, Golden

2:1 ~ QE

2 4\46 104.348 Srutal/diaschismic 2L 2s (4-tone)

2L 4s (6-tone)

2L 6s (8-tone)

2L 8s (10-tone)

10L 2s (12-tone)

12L 10s (22-tone)

12L 22s (34-tone)

19:4

15:4

11:4

7:4

4:3 ~ QE

3:1

2:1 ~ QE

2 5\46 130.435 2L 2s (4-tone)

2L 4s (6-tone)

2L 6s (8-tone)

8L 2s (10-tone)

8L 10s (18-tone)

18L 10s (28-tone)

18:5

13:5

8:5 ~ Golden

5:3 ~ Golden

3:2 ~ QE, Golden

2:1 ~ QE

2 6\46 156.522 Bison 2L 2s (4-tone)

2L 4s (6-tone)

6L 2s (8-tone)

8L 6s (14-tone)

8L 14s (22-tone)

8L 22s (30-tone)

8L 30s (38-tone

17:6

11:6

6:5 ~ QE

5:1

4:1

3:1

2:1 ~ QE

2 7\46 182.609 Unidec/hendec 2L 2s (4-tone)

2L 4s (6-tone)

6L 2s (8-tone)

6L 8s (14-tone)

6L 14s (20-tone)

20L 6s (26-tone)

16:7

9:7

7:2

5:2

3:2 ~ QE, Golden

2:1 ~ QE

2 8\46 208.696 Abigail 2L 2s (4-tone)

4L 2s (6-tone)

6L 2s (8-tone)

6L 8s (14-tone)

6L 14s (20-tone)

6L 20s (26-tone)

6L 26s (32-tone)

6L 32s (38-tone)

6L 38s (44-tone)

15:8

8:7 ~ QE

8:1

7:1

6:1

5:1

4:1

3:1

2:1 ~ QE

2 9\46 234.783 Echidnic 2L 2s (4-tone)

4L 2s (6-tone)

6L 4s (10-tone)

10L 6s (16-tone)

10L 16s (26-tone)

10L 26s (36-tone)

14:9

9:5

5:4 ~ QE

4:1

3:1

2:1 ~ QE

2 10\46 260.87 Bamity 2L 2s (4-tone)

4L 2s (6-tone)

4L 6s (10-tone)

4L 10s (14-tone)

14L 4s (18-tone)

14L 18s (32-tone)

13:10

10:3

7:3

4:3 ~ QE

3:1

2:1 ~ QE

2 11\46 286.957 Vines 2L 2s (4-tone)

4L 2s (6-tone)

4L 6s (10-tone)

4L 10s (14-tone)

4L 14s (18-tone)

4L 18s (22-tone)

4L 22s (26-tone)

4L 26s (30-tone)

4L 30s (34-tone)

4L 34s (38-tone)

4L 38s (42-tone)

12:11 ~ QE

11:1

10:1

9:1

8:1

7:1

6:1

5:1

4:1

3:1

2:1 ~ QE

23 1\46 26.087

Approximation to Mode 8 of the Harmonic Series

46edo represents 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. In steps-in-between, that's 8, 7, 6, 6, 5, 5, 5, 4.

8\46edo (208.70¢) stands in for frequency ratio 9:8 (203.91¢).

7\46edo (182.61¢) stands in for 10:9 (182.40¢).

6\46edo (156.52¢) stands in for 11:10 (165.00¢) and 12:11 (150.64¢).

5\46edo (130.43¢) stands in for 13:12 (138.57¢), 14:13 (128.30¢) and 15:14 (119.44¢).

4\46edo (104.35¢) stands in for 16:15 (111.73¢).

Scales

Music

by Aaron Krister Johnson:

Satiesque

by Gene Ward Smith:

Chromosounds play

Music For Your Ears play The central portion is in 27edo, the rest in 46edo.

by Andrew Heathwaite: Rats, play Tumbledown Stew play, Hypnocloudsmack 1 play, Hypnocloudsmack 2 play, Hypnocloudsmack 3 play

Bach BWV 1029 in 46 equal Claudi Meneghin version

Bach Contrapunctus 4 Claudi Meneghin version

A Seed Planted - (Yet another version: 46 EDO) by Jake Freivald

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