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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>
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<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]]
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=&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>
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