20edo: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-26 01:59:23 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-26 03:02:25 UTC</tt>.

: The original revision id was <tt>~~602811208~~</tt>.

: The original revision id was <tt>602811484</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

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==Intervals==

||= **Degree** ||= **Cents** ||= **Approximate**

**Ratios** ||||||= [[Ups and Downs Notation|up/down notation]] |||| even distribution* ||= **Nearest**

**Ratios** ||||||= [[Ups and Downs Notation|up/down notation]] ||= **Nearest**

**Harmonic** ||

||= 0 ||= 0 ||= 1/1 ||= unison ~~||= P1 ||= D~~ ||= P1 ||= D ||= 1 ||

||= 0 ||= 0 ||= 1/1 ||= unison ||= P1 ||= D ||= 1 ||

||= 1 ||= 60 ||= 29/28 ||= upminor 2nd ||= ^m2 ||= D^ ~~||= A1 ||= D#~~ ||= 33 ||

||= 1 ||= 60 ||= 29/28 ||= upminor 2nd ||= ^m2 ||= D^ ||= 33 ||

||= 2 ||= 120 ||= 14/13, 15/14 ||= mid 2nd ||= ~2 ||= D^^, Evv ~~||= d2 ||= Eb~~ ||= 69 ||

||= 2 ||= 120 ||= 14/13, 15/14 ||= mid 2nd ||= ~2 ||= D^^, Evv ||= 69 ||

||= 3 ||= 180 ||= 10/9 ||= downmajor 2nd ||= vM2 ||= Ev ~~||= P2 ||= E~~ ||= 71 ||

||= 3 ||= 180 ||= 10/9 ||= downmajor 2nd ||= vM2 ||= Ev ||= 71 ||

||= 4 ||= 240 ||= 8/7, 15/13 ||= major 2nd, minor 3rd ||= M2, m3 ||= E, F ~~||= A2, d3 ||= E#, Fbb~~ ||= 37 ||

||= 4 ||= 240 ||= 8/7, 15/13 ||= major 2nd, minor 3rd ||= M2, m3 ||= E, F ||= 37 ||

||= 5 ||= 300 ||= 13/11, 19/16 ||= upminor 3rd ||= ^m3 ||= F^ ~~||= m3 ||= Fb~~ ||= 19 ||

||= 5 ||= 300 ||= 13/11, 19/16 ||= upminor 3rd ||= ^m3 ||= F^ ||= 19 ||

||= 6 ||= 360 ||= 16/13, 5/4 ||= mid 3rd ||= ~3 ||= F^^ ~~||= M3 ||= F~~ ||= 79 ||

||= 6 ||= 360 ||= 16/13, 5/4 ||= mid 3rd ||= ~3 ||= F^^ ||= 79 ||

||= 7 ||= 420 ||= [[xenharmonic/14_11|14/11]], [[xenharmonic/51_40|51/40]] ||= downmajor 3rd ||= vM3 ||= F#v ~~||= A3, d4 ||= F#, Gbb~~ ||= 41 ||

||= 7 ||= 420 ||= [[xenharmonic/14_11|14/11]], [[xenharmonic/51_40|51/40]] ||= downmajor 3rd ||= vM3 ||= F#v ||= 41 ||

||= 8 ||= 480 ||= 25/19, 4/3 ||= major 3rd, perfect fourth ||= M3, P4 ||= F#, G ~~||= m4 ||= Gb~~ ||= 21 ||

||= 8 ||= 480 ||= 25/19, 4/3 ||= major 3rd, perfect fourth ||= M3, P4 ||= F#, G ||= 21 ||

||= 9 ||= 540 ||= 15/11, 11/8 ||= up-fourth ||= ^4 ||= G^ ~~||= M4 ||= G~~ ||= 11 ||

||= 9 ||= 540 ||= 15/11, 11/8 ||= up-fourth ||= ^4 ||= G^ ||= 11 ||

||= 10 ||= 600 ||= 7/5 ||= double-up fourth,

double-down fifth ||= ^^4, vv5 ||= G^^, Avv ~~||= A4, d5 ||= G#, Ab~~ ||= 91 ||

double-down fifth ||= ^^4, vv5 ||= G^^, Avv ||= 91 ||

||= 11 ||= 660 ||= 22/15, 16/11 ||= down-fifth ||= v5 ||= Av ~~||= m5 ||= A~~ ||= 47 ||

||= 11 ||= 660 ||= 22/15, 16/11 ||= down-fifth ||= v5 ||= Av ||= 47 ||

||= 12 ||= 720 ||= 38/25, 3/2 ||= fifth ||= P5, m6 ||= A ~~||= M5 ||= A#~~ ||= 97 ||

||= 12 ||= 720 ||= 38/25, 3/2 ||= fifth ||= P5, m6 ||= A ||= 97 ||

||= 13 ||= 780 ||= 11/7, 25/16 ||= upminor 6th ||= ^m6 ||= A^ ~~||= A5. d6 ||= Ax, Bb~~ ||= 25 ||

||= 13 ||= 780 ||= 11/7, 25/16 ||= upminor 6th ||= ^m6 ||= A^ ||= 25 ||

||= 14 ||= 840 ||= 13/8, 8/5 ||= mid 6th ||= ~6 ||= A^^, Bvv ~~||= m6 ||= B~~ ||= 13 ||

||= 14 ||= 840 ||= 13/8, 8/5 ||= mid 6th ||= ~6 ||= A^^, Bvv ||= 13 ||

||= 15 ||= 900 ||= 22/13, 32/19 ||= downmajor 6th ||= vM6 ||= Bv ~~||= M6 ||= B#~~ ||= 27 ||

||= 15 ||= 900 ||= 22/13, 32/19 ||= downmajor 6th ||= vM6 ||= Bv ||= 27 ||

||= 16 ||= 960 ||= 7/4, 26/15 ||= major 6th, minor 7th ||= M6, m7 ||= B, C ~~||= A6, d7 ||= Bx, Cb~~ ||= 7 ||

||= 16 ||= 960 ||= 7/4, 26/15 ||= major 6th, minor 7th ||= M6, m7 ||= B, C ||= 7 ||

||= 17 ||= 1020 ||= 9/5 ||= upminor 7th ||= ^m7 ||= C^ ~~||= P7 ||= C~~ ||= 115 ||

||= 17 ||= 1020 ||= 9/5 ||= upminor 7th ||= ^m7 ||= C^ ||= 115 ||

||= 18 ||= 1080 ||= 15/8, 13/7 ||= mid 7th ||= ~7 ||= C^^, Dvv ~~||= A7 ||= C#~~ ||= 15 ||

||= 18 ||= 1080 ||= 15/8, 13/7 ||= mid 7th ||= ~7 ||= C^^, Dvv ||= 15 ||

||= 19 ||= 1140 ||= 56/29 ||= downmajor 7th ||= vM7 ||= Dv ~~||= d8 ||= Db~~ ||= 31 ||

||= 19 ||= 1140 ||= 56/29 ||= downmajor 7th ||= vM7 ||= Dv ||= 31 ||

||= 20 ||= 1200 ||= 2/1 ||= octave ~~||= P8 ||= D~~ ||= P8 ||= D ||= 2 ||

||= 20 ||= 1200 ||= 2/1 ||= octave ||= P8 ||= D ||= 2 ||

* Evenly distributing the 7 naturals around the keyboard suggests a temperament generated by a 3\20 2nd. There are no such 7-limit temperaments, but this notation would be ideal for the yellow-deep-amberish-minus-white rank-2 temperament, which tempers out 125/121.

== ==

==Modes==

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</td>

<td colspan="3" style="text-align: center;"><a class="wiki_link" href="/Ups%20and%20Downs%20Notation">up/down notation</a>

~~</td>~~

~~<td colspan="2">even distribution* ~~

</td>

<td style="text-align: center;">Nearest

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</td>

<td style="text-align: center;">unison

~~</td>~~

~~<td style="text-align: center;">P1 ~~

~~</td>~~

~~<td style="text-align: center;">D ~~

</td>

<td style="text-align: center;">P1

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</td>

<td style="text-align: center;">D^

~~</td>~~

~~<td style="text-align: center;">A1 ~~

~~</td>~~

~~<td style="text-align: center;">D# ~~

</td>

<td style="text-align: center;">33

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</td>

<td style="text-align: center;">D^^, Evv

~~</td>~~

~~<td style="text-align: center;">d2 ~~

~~</td>~~

~~<td style="text-align: center;">Eb ~~

</td>

<td style="text-align: center;">69

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</td>

<td style="text-align: center;">Ev

~~</td>~~

~~<td style="text-align: center;">P2 ~~

~~</td>~~

~~<td style="text-align: center;">E ~~

</td>

<td style="text-align: center;">71

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</td>

<td style="text-align: center;">E, F

~~</td>~~

~~<td style="text-align: center;">A2, d3 ~~

~~</td>~~

~~<td style="text-align: center;">E#, Fbb ~~

</td>

<td style="text-align: center;">37

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</td>

<td style="text-align: center;">F^

~~</td>~~

~~<td style="text-align: center;">m3 ~~

~~</td>~~

~~<td style="text-align: center;">Fb ~~

</td>

<td style="text-align: center;">19

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</td>

<td style="text-align: center;">F^^

~~</td>~~

~~<td style="text-align: center;">M3 ~~

~~</td>~~

~~<td style="text-align: center;">F ~~

</td>

<td style="text-align: center;">79

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</td>

<td style="text-align: center;">F#v

~~</td>~~

~~<td style="text-align: center;">A3, d4 ~~

~~</td>~~

~~<td style="text-align: center;">F#, Gbb ~~

</td>

<td style="text-align: center;">41

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</td>

<td style="text-align: center;">F#, G

~~</td>~~

~~<td style="text-align: center;">m4 ~~

~~</td>~~

~~<td style="text-align: center;">Gb ~~

</td>

<td style="text-align: center;">21

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</td>

<td style="text-align: center;">G^

~~</td>~~

~~<td style="text-align: center;">M4 ~~

~~</td>~~

~~<td style="text-align: center;">G ~~

</td>

<td style="text-align: center;">11

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</td>

<td style="text-align: center;">G^^, Avv

~~</td>~~

~~<td style="text-align: center;">A4, d5 ~~

~~</td>~~

~~<td style="text-align: center;">G#, Ab ~~

</td>

<td style="text-align: center;">91

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</td>

<td style="text-align: center;">Av

~~</td>~~

~~<td style="text-align: center;">m5 ~~

~~</td>~~

~~<td style="text-align: center;">A ~~

</td>

<td style="text-align: center;">47

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</td>

<td style="text-align: center;">A

~~</td>~~

~~<td style="text-align: center;">M5 ~~

~~</td>~~

~~<td style="text-align: center;">A# ~~

</td>

<td style="text-align: center;">97

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</td>

<td style="text-align: center;">A^

~~</td>~~

~~<td style="text-align: center;">A5. d6 ~~

~~</td>~~

~~<td style="text-align: center;">Ax, Bb ~~

</td>

<td style="text-align: center;">25

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</td>

<td style="text-align: center;">A^^, Bvv

~~</td>~~

~~<td style="text-align: center;">m6 ~~

~~</td>~~

~~<td style="text-align: center;">B ~~

</td>

<td style="text-align: center;">13

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</td>

<td style="text-align: center;">Bv

~~</td>~~

~~<td style="text-align: center;">M6 ~~

~~</td>~~

~~<td style="text-align: center;">B# ~~

</td>

<td style="text-align: center;">27

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</td>

<td style="text-align: center;">B, C

~~</td>~~

~~<td style="text-align: center;">A6, d7 ~~

~~</td>~~

~~<td style="text-align: center;">Bx, Cb ~~

</td>

<td style="text-align: center;">7

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</td>

<td style="text-align: center;">C^

~~</td>~~

~~<td style="text-align: center;">P7 ~~

~~</td>~~

~~<td style="text-align: center;">C ~~

</td>

<td style="text-align: center;">115

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</td>

<td style="text-align: center;">C^^, Dvv

~~</td>~~

~~<td style="text-align: center;">A7 ~~

~~</td>~~

~~<td style="text-align: center;">C# ~~

</td>

<td style="text-align: center;">15

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</td>

<td style="text-align: center;">Dv

~~</td>~~

~~<td style="text-align: center;">d8 ~~

~~</td>~~

~~<td style="text-align: center;">Db ~~

</td>

<td style="text-align: center;">31

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</td>

<td style="text-align: center;">octave

~~</td>~~

~~<td style="text-align: center;">P8 ~~

~~</td>~~

~~<td style="text-align: center;">D ~~

</td>

<td style="text-align: center;">P8

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</table>

<ul><li>Evenly distributing the 7 naturals around the keyboard suggests a temperament generated by a 3\20 2nd. There are no such 7-limit temperaments, but this notation would be ideal for the yellow-deep-amberish-minus-white rank-2 temperament, which tempers out 125/121.</li></ul><h2 id="toc4"> </h2>

<h2 id="toc4"> </h2>

<h2 id="toc5"><a name="Properties-Modes"></a>Modes</h2>

20 tone equal modes:

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<h2 id="toc7"><a name="Properties-Books"></a>Books</h2>

<a href="http://www.ronsword.com/" target="_blank" rel="nofollow"><img src="http://ronsword.com/images/20_tet_Coversm.jpg" alt="external image 20_tet_Coversm.jpg" title="external image 20_tet_Coversm.jpg" style="height: 114px; width: 82px;" /></a>

<a href="http://www.ronsword.com/" target="_blank" rel="nofollow"><img src="http://ronsword.com/images/20_tet_Coversm.jpg" alt="external image 20_tet_Coversm.jpg" title="external image 20_tet_Coversm.jpg" style="height: 114px; width: 82px;" /></a>

<a class="wiki_link_ext" href="http://www.ronsword.com/" rel="nofollow" target="_blank">&quot;Icosaphonic Scales for Guitar&quot; - Theory / Scale book with above modes and more</a> by <a class="wiki_link" href="/Ron%20Sword">Ron Sword</a></body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-26 01:59:23 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-26 03:02:25 UTC</tt>.<br>
-: The original revision id was <tt>602811208</tt>.<br>
+: The original revision id was <tt>602811484</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 25: / Line 25: @@
 ==Intervals==
 ||= **Degree** ||= **Cents** ||= **Approximate**
-**Ratios** ||||||= [[Ups and Downs Notation|up/down notation]] |||| even distribution* ||= **Nearest**
+**Ratios** ||||||= [[Ups and Downs Notation|up/down notation]] ||= **Nearest**
 **Harmonic** ||
-||= 0 ||= 0 ||= 1/1 ||= unison ||= P1 ||= D ||= P1 ||= D ||= 1 ||
+||= 0 ||= 0 ||= 1/1 ||= unison ||= P1 ||= D ||= 1 ||
-||= 1 ||= 60 ||= 29/28 ||= upminor 2nd ||= ^m2 ||= D^ ||= A1 ||= D# ||= 33 ||
+||= 1 ||= 60 ||= 29/28 ||= upminor 2nd ||= ^m2 ||= D^ ||= 33 ||
-||= 2 ||= 120 ||= 14/13, 15/14 ||= mid 2nd ||= ~2 ||= D^^, Evv ||= d2 ||= Eb ||= 69 ||
+||= 2 ||= 120 ||= 14/13, 15/14 ||= mid 2nd ||= ~2 ||= D^^, Evv ||= 69 ||
-||= 3 ||= 180 ||= 10/9 ||= downmajor 2nd ||= vM2 ||= Ev ||= P2 ||= E ||= 71 ||
+||= 3 ||= 180 ||= 10/9 ||= downmajor 2nd ||= vM2 ||= Ev ||= 71 ||
-||= 4 ||= 240 ||= 8/7, 15/13 ||= major 2nd, minor 3rd ||= M2, m3 ||= E, F ||= A2, d3 ||= E#, Fbb ||= 37 ||
+||= 4 ||= 240 ||= 8/7, 15/13 ||= major 2nd, minor 3rd ||= M2, m3 ||= E, F ||= 37 ||
-||= 5 ||= 300 ||= 13/11, 19/16 ||= upminor 3rd ||= ^m3 ||= F^ ||= m3 ||= Fb ||= 19 ||
+||= 5 ||= 300 ||= 13/11, 19/16 ||= upminor 3rd ||= ^m3 ||= F^ ||= 19 ||
-||= 6 ||= 360 ||= 16/13, 5/4 ||= mid 3rd ||= ~3 ||= F^^ ||= M3 ||= F ||= 79 ||
+||= 6 ||= 360 ||= 16/13, 5/4 ||= mid 3rd ||= ~3 ||= F^^ ||= 79 ||
-||= 7 ||= 420 ||= [[xenharmonic/14_11|14/11]], [[xenharmonic/51_40|51/40]] ||= downmajor 3rd ||= vM3 ||= F#v ||= A3, d4 ||= F#, Gbb ||= 41 ||
+||= 7 ||= 420 ||= [[xenharmonic/14_11|14/11]], [[xenharmonic/51_40|51/40]] ||= downmajor 3rd ||= vM3 ||= F#v ||= 41 ||
-||= 8 ||= 480 ||= 25/19, 4/3 ||= major 3rd, perfect fourth ||= M3, P4 ||= F#, G ||= m4 ||= Gb ||= 21 ||
+||= 8 ||= 480 ||= 25/19, 4/3 ||= major 3rd, perfect fourth ||= M3, P4 ||= F#, G ||= 21 ||
-||= 9 ||= 540 ||= 15/11, 11/8 ||= up-fourth ||= ^4 ||= G^ ||= M4 ||= G ||= 11 ||
+||= 9 ||= 540 ||= 15/11, 11/8 ||= up-fourth ||= ^4 ||= G^ ||= 11 ||
 ||= 10 ||= 600 ||= 7/5 ||= double-up fourth,
-double-down fifth ||= ^^4, vv5 ||= G^^, Avv ||= A4, d5 ||= G#, Ab ||= 91 ||
+double-down fifth ||= ^^4, vv5 ||= G^^, Avv ||= 91 ||
-||= 11 ||= 660 ||= 22/15, 16/11 ||= down-fifth ||= v5 ||= Av ||= m5 ||= A ||= 47 ||
+||= 11 ||= 660 ||= 22/15, 16/11 ||= down-fifth ||= v5 ||= Av ||= 47 ||
-||= 12 ||= 720 ||= 38/25, 3/2 ||= fifth ||= P5, m6 ||= A ||= M5 ||= A# ||= 97 ||
+||= 12 ||= 720 ||= 38/25, 3/2 ||= fifth ||= P5, m6 ||= A ||= 97 ||
-||= 13 ||= 780 ||= 11/7, 25/16 ||= upminor 6th ||= ^m6 ||= A^ ||= A5. d6 ||= Ax, Bb ||= 25 ||
+||= 13 ||= 780 ||= 11/7, 25/16 ||= upminor 6th ||= ^m6 ||= A^ ||= 25 ||
-||= 14 ||= 840 ||= 13/8, 8/5 ||= mid 6th ||= ~6 ||= A^^, Bvv ||= m6 ||= B ||= 13 ||
+||= 14 ||= 840 ||= 13/8, 8/5 ||= mid 6th ||= ~6 ||= A^^, Bvv ||= 13 ||
-||= 15 ||= 900 ||= 22/13, 32/19 ||= downmajor 6th ||= vM6 ||= Bv ||= M6 ||= B# ||= 27 ||
+||= 15 ||= 900 ||= 22/13, 32/19 ||= downmajor 6th ||= vM6 ||= Bv ||= 27 ||
-||= 16 ||= 960 ||= 7/4, 26/15 ||= major 6th, minor 7th ||= M6, m7 ||= B, C ||= A6, d7 ||= Bx, Cb ||= 7 ||
+||= 16 ||= 960 ||= 7/4, 26/15 ||= major 6th, minor 7th ||= M6, m7 ||= B, C ||= 7 ||
-||= 17 ||= 1020 ||= 9/5 ||= upminor 7th ||= ^m7 ||= C^ ||= P7 ||= C ||= 115 ||
+||= 17 ||= 1020 ||= 9/5 ||= upminor 7th ||= ^m7 ||= C^ ||= 115 ||
-||= 18 ||= 1080 ||= 15/8, 13/7 ||= mid 7th ||= ~7 ||= C^^, Dvv ||= A7 ||= C# ||= 15 ||
+||= 18 ||= 1080 ||= 15/8, 13/7 ||= mid 7th ||= ~7 ||= C^^, Dvv ||= 15 ||
-||= 19 ||= 1140 ||= 56/29 ||= downmajor 7th ||= vM7 ||= Dv ||= d8 ||= Db ||= 31 ||
+||= 19 ||= 1140 ||= 56/29 ||= downmajor 7th ||= vM7 ||= Dv ||= 31 ||
-||= 20 ||= 1200 ||= 2/1 ||= octave ||= P8 ||= D ||= P8 ||= D ||= 2 ||
+||= 20 ||= 1200 ||= 2/1 ||= octave ||= P8 ||= D ||= 2 ||
-* Evenly distributing the 7 naturals around the keyboard suggests a temperament generated by a 3\20 2nd. There are no such 7-limit temperaments, but this notation would be ideal for the yellow-deep-amberish-minus-white rank-2 temperament, which tempers out 125/121.
 == ==
 ==Modes==
@@ Line 121: / Line 120: @@
 &lt;/td&gt;
          &lt;td colspan="3" style="text-align: center;"&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;up/down notation&lt;/a&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td colspan="2"&gt;even distribution*&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;strong&gt;Nearest&lt;/strong&gt;&lt;br /&gt;
@@ Line 136: / Line 133: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;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;td style="text-align: center;"&gt;P1&lt;br /&gt;
@@ Line 160: / Line 153: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;D^&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;A1&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;D#&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;33&lt;br /&gt;
@@ Line 180: / Line 169: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;D^^, Evv&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;d2&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Eb&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;69&lt;br /&gt;
@@ Line 200: / Line 185: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Ev&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;P2&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;E&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;71&lt;br /&gt;
@@ Line 220: / Line 201: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;E, F&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;A2, d3&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;E#, Fbb&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;37&lt;br /&gt;
@@ Line 240: / Line 217: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;F^&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;Fb&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;19&lt;br /&gt;
@@ Line 260: / Line 233: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;F^^&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;td style="text-align: center;"&gt;79&lt;br /&gt;
@@ Line 280: / Line 249: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;F#v&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;A3, d4&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;F#, Gbb&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;41&lt;br /&gt;
@@ Line 300: / Line 265: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;F#, G&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;m4&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Gb&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;21&lt;br /&gt;
@@ Line 320: / Line 281: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;G^&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;M4&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;11&lt;br /&gt;
@@ Line 341: / Line 298: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;G^^, Avv&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;td style="text-align: center;"&gt;91&lt;br /&gt;
@@ Line 361: / Line 314: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Av&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;m5&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;47&lt;br /&gt;
@@ Line 381: / Line 330: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;M5&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;A#&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;97&lt;br /&gt;
@@ Line 401: / Line 346: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;A^&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;A5. d6&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Ax, Bb&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;25&lt;br /&gt;
@@ Line 421: / Line 362: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;A^^, Bvv&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;td style="text-align: center;"&gt;13&lt;br /&gt;
@@ Line 441: / Line 378: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Bv&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;td style="text-align: center;"&gt;27&lt;br /&gt;
@@ Line 461: / Line 394: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;B, C&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;A6, d7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Bx, Cb&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7&lt;br /&gt;
@@ Line 481: / Line 410: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;C^&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;P7&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;115&lt;br /&gt;
@@ Line 501: / Line 426: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;C^^, Dvv&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;A7&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;15&lt;br /&gt;
@@ Line 521: / Line 442: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Dv&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;d8&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;Db&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;31&lt;br /&gt;
@@ Line 537: / Line 454: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;octave&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;td style="text-align: center;"&gt;P8&lt;br /&gt;
@@ Line 551: / Line 464: @@
 &lt;/table&gt;
-&lt;ul&gt;&lt;li&gt;Evenly distributing the 7 naturals around the keyboard suggests a temperament generated by a 3\20 2nd. There are no such 7-limit temperaments, but this notation would be ideal for the yellow-deep-amberish-minus-white rank-2 temperament, which tempers out 125/121.&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt; &lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt; &lt;/h2&gt;
   &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Properties-Modes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Modes&lt;/h2&gt;
 tone equal modes:&lt;br /&gt;
@@ Line 949: / Line 862: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Properties-Books"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;&lt;strong&gt;Books&lt;/strong&gt;&lt;/h2&gt;
-  &lt;!-- ws:start:WikiTextRemoteImageRule:872:&amp;lt;a href=&amp;quot;http://www.ronsword.com/&amp;quot; target=&amp;quot;_blank&amp;quot; rel=&amp;quot;nofollow&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;http://ronsword.com/images/20_tet_Coversm.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 114px; width: 82px;&amp;quot; /&amp;gt;&amp;lt;/a&amp;gt; --&gt;&lt;a href="http://www.ronsword.com/" target="_blank" rel="nofollow"&gt;&lt;img src="http://ronsword.com/images/20_tet_Coversm.jpg" alt="external image 20_tet_Coversm.jpg" title="external image 20_tet_Coversm.jpg" style="height: 114px; width: 82px;" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:872 --&gt;&lt;br /&gt;
+  &lt;!-- ws:start:WikiTextRemoteImageRule:782:&amp;lt;a href=&amp;quot;http://www.ronsword.com/&amp;quot; target=&amp;quot;_blank&amp;quot; rel=&amp;quot;nofollow&amp;quot;&amp;gt;&amp;lt;img src=&amp;quot;http://ronsword.com/images/20_tet_Coversm.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 114px; width: 82px;&amp;quot; /&amp;gt;&amp;lt;/a&amp;gt; --&gt;&lt;a href="http://www.ronsword.com/" target="_blank" rel="nofollow"&gt;&lt;img src="http://ronsword.com/images/20_tet_Coversm.jpg" alt="external image 20_tet_Coversm.jpg" title="external image 20_tet_Coversm.jpg" style="height: 114px; width: 82px;" /&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextRemoteImageRule:782 --&gt;&lt;br /&gt;
 &lt;a class="wiki_link_ext" href="http://www.ronsword.com/" rel="nofollow" target="_blank"&gt;&amp;quot;Icosaphonic Scales for Guitar&amp;quot; - Theory / Scale book with above modes and more&lt;/a&gt; by &lt;a class="wiki_link" href="/Ron%20Sword"&gt;Ron Sword&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

20edo: Difference between revisions

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