16edo: Difference between revisions

Line 1:

<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>2016-12-25 20:08:25 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-25 20:23:51 UTC</tt>.

: The original revision id was <tt>~~602808826~~</tt>.

: The original revision id was <tt>602808950</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.

Line 23:

|| Degree || Cents ||= Approximate

Ratios* || Interval

Ratios* ||||= Interval names,

Names

major wider

than minor ||||= Interval names,

major narrower

than minor ||= Interval Names

Just ||= Interval

Names

Simplified ~~||||= Interval names,~~

Simplified ||

~~major wider~~

|| 0 || 0 ||= 1/1 ||= unison ||= D ||= unison ||= D ||= Unison ||= unison ||

~~than minor ||||= Interval names,~~

|| 1 || 75 ||= 28/27, 27/26 ||= aug 1, dim 2nd ||= D#, Eb ||= dim 1, aug 2nd ||= Db, E# ||= Subminor 2nd ||= min 2nd ||

~~major narrower~~

|| 2 || 150 ||= 12/11, 35/32 ||= min 2nd ||= E ||= maj 2nd ||= E ||= Neutral 2nd ||= maj 2nd ||

~~than minor~~ ||

|| 3 || 225 ||= 8/7 ||= maj 2nd ||= E# ||= min 2nd ||= Eb ||= Supermajor 2nd,

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

Septimal Whole-Tone ||= perf 2nd ||

|| 1 || 75 ||= 28/27, 27/26 ~~|| Subminor 2nd ||= min 2nd~~ ||= aug 1, dim 2nd ||= D#, Eb ||= dim 1, aug 2nd ||= Db, E# ||

|| 4 || 300 ||= 19/16, 32/27 ||= min 3rd ||= Fb ||= maj 3rd ||= F# ||= Minor 3rd ||= min 3rd ||

|| 2 || 150 ||= 12/11, 35/32 || ~~Neutral~~ 2nd ||= ~~maj 2nd~~ ||= ~~min~~ 2nd ||= E ||= ~~maj~~ 2nd ||= E ||

|| 5 || 375 ||= 5/4, 26/21 ||= maj 3rd ||= F ||= min 3rd ||= F ||= Major 3rd ||= maj 3rd ||

|| 3 || 225 ||= 8/7 || ~~Supermajor~~ 2nd,

|| 6 || 450 ||= 13/10, 35/27 ||= aug 3rd, dim 4th ||= F#, Gb ||= dim 3rd, aug 4th ||= Fb, G# ||= Sub-4th,

~~Septimal Whole-Tone~~ ||= ~~perf 2nd~~ ||= ~~maj~~ 2nd ||= E# ||= ~~min~~ 2nd ||= Eb ||

Supermajor 3rd ||= min 4th ||

|| 4 || 300 ||= 19/16, 32/27 || ~~Minor~~ 3rd ||= ~~min 3rd~~ ||= ~~min~~ 3rd ||= Fb ||= ~~maj~~ 3rd ||= F# ||

|| 7 || 525 ||= 27/20, 52/35, 256/189 ||= perf 4th ||= G ||= perf 4th ||= G ||= Wide 4th ||= maj 4th ||

|| 5 || 375 ||= 5/4, 26/21 || ~~Major~~ 3rd ||= ~~maj 3rd~~ ||= ~~maj~~ 3rd ||= F ||= ~~min~~ 3rd ||= F ||

|| 8 || 600 ||= 7/5, 10/7 ||= aug 4th, dim 5th ||= G#, Ab ||= dim 4th, aug 5th ||= Gb, A# ||= Tritone ||= aug 4th,

|| 6 || 450 ||= 13/10, 35/27 ~~|| Sub-4th,~~

dim 5th ||

~~Supermajor 3rd ||= min 4th~~ ||= aug 3rd, dim 4th ||= F#, Gb ||= dim 3rd, aug 4th ||= Fb, G# ||

|| 9 || 675 ||= 40/27, 35/26, 189/128 ||= perf 5th ||= A ||= perf 5th ||= A ||= Narrow 5th ||= min 5th ||

|| 7 || 525 ||= 27/20, 52/35, 256/189 || ~~Wide~~ 4th ||= ~~maj 4th~~ ||= perf 4th ||= G ||= ~~perf~~ 4th ||= G ||

|| 10 || 750 ||= 20/13, 54/35 ||= aug 5th, dim 6th ||= A#, Bb ||= dim 5th, aug 6th ||= Ab, B# ||= Super-5th,

|| 8 || 600 ||= 7/5, 10/7 ~~|| Tritone ||= aug 4th,~~

Subminor 6th ||= maj 5th ||

~~dim 5th~~ ||= aug 4th, dim 5th ||= G#, Ab ||= dim 4th, aug 5th ||= Gb, A# ||

|| 11 || 825 ||= 8/5, 21/13 ||= min 6th ||= B ||= maj 6th ||= B ||= Minor 6th ||= min 6th ||

|| 9 || 675 ||= 40/27, 35/26, 189/128 || ~~Narrow~~ 5th ||= ~~min 5th~~ ||= perf 5th ||= A ||= ~~perf~~ 5th ||= A ||

|| 12 || 900 ||= 27/16, 32/19 ||= maj 6th ||= B# ||= min 6th ||= Bb ||= Major 6th ||= maj 6th ||

|| 10 || 750 ||= 20/13, 54/35 ~~|| Super-5th,~~

|| 13 || 975 ||= 7/4 ||= min 7th ||= Cb ||= maj 7th ||= C# ||= Subminor 7th,

~~Subminor 6th ||= maj 5th~~ ||= aug 5th, dim 6th ||= A#, Bb ||= dim 5th, aug 6th ||= Ab, B# ||

Septimal Minor 7th ||= perf 7th ||

|| 11 || 825 ||= 8/5, 21/13 || ~~Minor~~ 6th ||= ~~min 6th~~ ||= ~~min~~ 6th ||= B ||= ~~maj~~ 6th ||= B ||

|| 14 || 1050 ||= 11/6, 64/35 ||= maj 7th ||= C ||= min 7th ||= C ||= Neutral 7th ||= min 7th ||

|| 12 || 900 ||= 27/16, 32/19 || ~~Major~~ 6th ||= ~~maj 6th~~ ||= ~~maj~~ 6th ||= B# ||= ~~min~~ 6th ||= Bb ||

|| 15 || 1125 ||= 27/14, 52/27 ||= aug 7th, dim 8ve ||= C# ||= dim 7th, aug 8ve ||= D# ||= Supermajor 7th ||= maj 7th ||

|| 13 || 975 ||= 7/4 || ~~Subminor 7th,~~

|| 16 || 1200 ||= 2/1 ||= 8ve ||= D ||= 8ve ||= D ||= octave ||= octave ||

~~Septimal Minor~~ 7th ||= ~~perf 7th~~ ||= ~~min~~ 7th ||= Cb ||= ~~maj~~ 7th ||= C# ||

|| 14 || 1050 ||= 11/6, 64/35 || ~~Neutral~~ 7th ||= ~~min 7th~~ ||= ~~maj~~ 7th ||= C ||= ~~min~~ 7th ||= C ||

|| 15 || 1125 ||= 27/14, 52/27 ~~|| Supermajor 7th ||= maj 7th~~ ||= aug 7th, dim 8ve ||= C# ||= dim 7th, aug 8ve ||= D# ||

|| 16 || 1200 ||= 2/1 || ~~octave~~ ||= ~~octave~~ ||= 8ve ||= D ||= ~~8ve~~ ||= D ||

*based on treating 16-EDO as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible.

Line 258:

Line 257:

Ratios*

</td>

<td>Interval

<td colspan="2" style="text-align: center;">Interval names,

Names

major wider

than minor

</td>

<td colspan="2" style="text-align: center;">Interval names,

major narrower

than minor

</td>

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

Just

</td>

Line 265:

Line 271:

Names

Simplified

~~</td>~~

~~<td colspan="2" style="text-align: center;">Interval names, ~~

~~major wider ~~

~~than minor ~~

~~</td>~~

~~<td colspan="2" style="text-align: center;">Interval names, ~~

~~major narrower ~~

~~than minor ~~

</td>

</tr>

Line 282:

Line 280:

<td style="text-align: center;">1/1

</td>

<td>~~Unison~~

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

</td>

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

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

</td>

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

</td>

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

</td>

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

</td>

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

~~</td>~~

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

</td>

</tr>

Line 301:

Line 299:

</td>

<td style="text-align: center;">28/27, 27/26

~~</td>~~

~~<td>Subminor 2nd ~~

~~</td>~~

~~<td style="text-align: center;">min 2nd ~~

</td>

<td style="text-align: center;">aug 1, dim 2nd

Line 313:

Line 307:

</td>

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

</td>

<td style="text-align: center;">Subminor 2nd

</td>

<td style="text-align: center;">min 2nd

</td>

</tr>

Line 321:

Line 319:

</td>

<td style="text-align: center;">12/11, 35/32

~~</td>~~

~~<td>Neutral 2nd ~~

~~</td>~~

~~<td style="text-align: center;">maj 2nd ~~

</td>

<td style="text-align: center;">min 2nd

Line 333:

Line 327:

</td>

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

</td>

<td style="text-align: center;">Neutral 2nd

</td>

<td style="text-align: center;">maj 2nd

</td>

</tr>

Line 341:

Line 339:

</td>

<td style="text-align: center;">8/7

~~</td>~~

~~<td>Supermajor 2nd, ~~

~~Septimal Whole-Tone ~~

~~</td>~~

~~<td style="text-align: center;">perf 2nd ~~

</td>

<td style="text-align: center;">maj 2nd

Line 354:

Line 347:

</td>

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

</td>

<td style="text-align: center;">Supermajor 2nd,

Septimal Whole-Tone

</td>

<td style="text-align: center;">perf 2nd

</td>

</tr>

Line 362:

Line 360:

</td>

<td style="text-align: center;">19/16, 32/27

~~</td>~~

~~<td>Minor 3rd ~~

~~</td>~~

~~<td style="text-align: center;">min 3rd ~~

</td>

<td style="text-align: center;">min 3rd

Line 374:

Line 368:

</td>

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

</td>

<td style="text-align: center;">Minor 3rd

</td>

<td style="text-align: center;">min 3rd

</td>

</tr>

Line 382:

Line 380:

</td>

<td style="text-align: center;">5/4, 26/21

~~</td>~~

~~<td>Major 3rd ~~

~~</td>~~

~~<td style="text-align: center;">maj 3rd ~~

</td>

<td style="text-align: center;">maj 3rd

Line 394:

Line 388:

</td>

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

</td>

<td style="text-align: center;">Major 3rd

</td>

<td style="text-align: center;">maj 3rd

</td>

</tr>

Line 402:

Line 400:

</td>

<td style="text-align: center;">13/10, 35/27

~~</td>~~

~~<td>Sub-4th, ~~

~~Supermajor 3rd ~~

~~</td>~~

~~<td style="text-align: center;">min 4th ~~

</td>

<td style="text-align: center;">aug 3rd, dim 4th

Line 415:

Line 408:

</td>

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

</td>

<td style="text-align: center;">Sub-4th,

Supermajor 3rd

</td>

<td style="text-align: center;">min 4th

</td>

</tr>

Line 424:

Line 422:

<td style="text-align: center;">27/20, 52/35, 256/189

</td>

<td>~~Wide~~ 4th

<td style="text-align: center;">perf 4th

</td>

<td style="text-align: center;">~~maj 4th~~

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

</td>

<td style="text-align: center;">perf 4th

Line 432:

Line 430:

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

</td>

<td style="text-align: center;">~~perf~~ 4th

<td style="text-align: center;">Wide 4th

</td>

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

<td style="text-align: center;">maj 4th

</td>

</tr>

Line 443:

Line 441:

</td>

<td style="text-align: center;">7/5, 10/7

~~</td>~~

~~<td>Tritone ~~

~~</td>~~

~~<td style="text-align: center;">aug 4th, ~~

~~dim 5th ~~

</td>

<td style="text-align: center;">aug 4th, dim 5th

Line 456:

Line 449:

</td>

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

</td>

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

</td>

<td style="text-align: center;">aug 4th,

dim 5th

</td>

</tr>

Line 465:

Line 463:

<td style="text-align: center;">40/27, 35/26, 189/128

</td>

<td>~~Narrow~~ 5th

<td style="text-align: center;">perf 5th

</td>

<td style="text-align: center;">~~min 5th~~

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

</td>

<td style="text-align: center;">perf 5th

Line 473:

Line 471:

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

</td>

<td style="text-align: center;">~~perf~~ 5th

<td style="text-align: center;">Narrow 5th

</td>

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

<td style="text-align: center;">min 5th

</td>

</tr>

Line 484:

Line 482:

</td>

<td style="text-align: center;">20/13, 54/35

~~</td>~~

~~<td>Super-5th, ~~

~~Subminor 6th ~~

~~</td>~~

~~<td style="text-align: center;">maj 5th ~~

</td>

<td style="text-align: center;">aug 5th, dim 6th

Line 497:

Line 490:

</td>

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

</td>

<td style="text-align: center;">Super-5th,

Subminor 6th

</td>

<td style="text-align: center;">maj 5th

</td>

</tr>

Line 505:

Line 503:

</td>

<td style="text-align: center;">8/5, 21/13

~~</td>~~

~~<td>Minor 6th ~~

~~</td>~~

~~<td style="text-align: center;">min 6th ~~

</td>

<td style="text-align: center;">min 6th

Line 517:

Line 511:

</td>

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

</td>

<td style="text-align: center;">Minor 6th

</td>

<td style="text-align: center;">min 6th

</td>

</tr>

Line 525:

Line 523:

</td>

<td style="text-align: center;">27/16, 32/19

~~</td>~~

~~<td>Major 6th ~~

~~</td>~~

~~<td style="text-align: center;">maj 6th ~~

</td>

<td style="text-align: center;">maj 6th

Line 537:

Line 531:

</td>

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

</td>

<td style="text-align: center;">Major 6th

</td>

<td style="text-align: center;">maj 6th

</td>

</tr>

Line 545:

Line 543:

</td>

<td style="text-align: center;">7/4

~~</td>~~

~~<td>Subminor 7th, ~~

~~Septimal Minor 7th ~~

~~</td>~~

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

</td>

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

Line 558:

Line 551:

</td>

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

</td>

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

Septimal Minor 7th

</td>

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

</td>

</tr>

Line 566:

Line 564:

</td>

<td style="text-align: center;">11/6, 64/35

~~</td>~~

~~<td>Neutral 7th ~~

~~</td>~~

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

</td>

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

Line 578:

Line 572:

</td>

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

</td>

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

</td>

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

</td>

</tr>

Line 586:

Line 584:

</td>

<td style="text-align: center;">27/14, 52/27

~~</td>~~

~~<td>Supermajor 7th ~~

~~</td>~~

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

</td>

<td style="text-align: center;">aug 7th, dim 8ve

Line 598:

Line 592:

</td>

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

</td>

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

</td>

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

</td>

</tr>

Line 607:

Line 605:

<td style="text-align: center;">2/1

</td>

<td>~~octave~~

<td style="text-align: center;">8ve

</td>

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

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

</td>

<td style="text-align: center;">8ve

Line 615:

Line 613:

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

</td>

<td style="text-align: center;">~~8ve~~

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

</td>

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

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

</td>

</tr>

@@ 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>2016-12-25 20:08:25 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-25 20:23:51 UTC</tt>.<br>
-: The original revision id was <tt>602808826</tt>.<br>
+: The original revision id was <tt>602808950</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 23: / Line 23: @@
 || Degree || Cents ||= Approximate
-Ratios* || Interval
+Ratios* ||||= Interval names,
-Names
+major wider
+than minor ||||= Interval names,
+major narrower
+than minor ||= Interval Names
 Just ||= Interval
 Names
-Simplified ||||= Interval names,
+Simplified ||
-major wider
+|| 0 || 0 ||= 1/1 ||= unison ||= D ||= unison ||= D ||= Unison ||= unison ||
-than minor ||||= Interval names,
+|| 1 || 75 ||= 28/27, 27/26 ||= aug 1, dim 2nd ||= D#, Eb ||= dim 1, aug 2nd ||= Db, E# ||= Subminor 2nd ||= min 2nd ||
-major narrower
+|| 2 || 150 ||= 12/11, 35/32 ||= min 2nd ||= E ||= maj 2nd ||= E ||= Neutral 2nd ||= maj 2nd ||
-than minor ||
+|| 3 || 225 ||= 8/7 ||= maj 2nd ||= E# ||= min 2nd ||= Eb ||= Supermajor 2nd,
-|| 0 || 0 ||= 1/1 || Unison ||= unison ||= unison ||= D ||= unison ||= D ||
+Septimal Whole-Tone ||= perf 2nd ||
-|| 1 || 75 ||= 28/27, 27/26 || Subminor 2nd ||= min 2nd ||= aug 1, dim 2nd ||= D#, Eb ||= dim 1, aug 2nd ||= Db, E# ||
+|| 4 || 300 ||= 19/16, 32/27 ||= min 3rd ||= Fb ||= maj 3rd ||= F# ||= Minor 3rd ||= min 3rd ||
-|| 2 || 150 ||= 12/11, 35/32 || Neutral 2nd ||= maj 2nd ||= min 2nd ||= E ||= maj 2nd ||= E ||
+|| 5 || 375 ||= 5/4, 26/21 ||= maj 3rd ||= F ||= min 3rd ||= F ||= Major 3rd ||= maj 3rd ||
-|| 3 || 225 ||= 8/7 || Supermajor 2nd,
+|| 6 || 450 ||= 13/10, 35/27 ||= aug 3rd, dim 4th ||= F#, Gb ||= dim 3rd, aug 4th ||= Fb, G# ||= Sub-4th,
-Septimal Whole-Tone ||= perf 2nd ||= maj 2nd ||= E# ||= min 2nd ||= Eb ||
+Supermajor 3rd ||= min 4th ||
-|| 4 || 300 ||= 19/16, 32/27 || Minor 3rd ||= min 3rd ||= min 3rd ||= Fb ||= maj 3rd ||= F# ||
+|| 7 || 525 ||= 27/20, 52/35, 256/189 ||= perf 4th ||= G ||= perf 4th ||= G ||= Wide 4th ||= maj 4th ||
-|| 5 || 375 ||= 5/4, 26/21 || Major 3rd ||= maj 3rd ||= maj 3rd ||= F ||= min 3rd ||= F ||
+|| 8 || 600 ||= 7/5, 10/7 ||= aug 4th, dim 5th ||= G#, Ab ||= dim 4th, aug 5th ||= Gb, A# ||= Tritone ||= aug 4th,
-|| 6 || 450 ||= 13/10, 35/27 || Sub-4th,
+dim 5th ||
-Supermajor 3rd ||= min 4th ||= aug 3rd, dim 4th ||= F#, Gb ||= dim 3rd, aug 4th ||= Fb, G# ||
+|| 9 || 675 ||= 40/27, 35/26, 189/128 ||= perf 5th ||= A ||= perf 5th ||= A ||= Narrow 5th ||= min 5th ||
-|| 7 || 525 ||= 27/20, 52/35, 256/189 || Wide 4th ||= maj 4th ||= perf 4th ||= G ||= perf 4th ||= G ||
+|| 10 || 750 ||= 20/13, 54/35 ||= aug 5th, dim 6th ||= A#, Bb ||= dim 5th, aug 6th ||= Ab, B# ||= Super-5th,
-|| 8 || 600 ||= 7/5, 10/7 || Tritone ||= aug 4th,
+Subminor 6th ||= maj 5th ||
-dim 5th ||= aug 4th, dim 5th ||= G#, Ab ||= dim 4th, aug 5th ||= Gb, A# ||
+|| 11 || 825 ||= 8/5, 21/13 ||= min 6th ||= B ||= maj 6th ||= B ||= Minor 6th ||= min 6th ||
-|| 9 || 675 ||= 40/27, 35/26, 189/128 || Narrow 5th ||= min 5th ||= perf 5th ||= A ||= perf 5th ||= A ||
+|| 12 || 900 ||= 27/16, 32/19 ||= maj 6th ||= B# ||= min 6th ||= Bb ||= Major 6th ||= maj 6th ||
-|| 10 || 750 ||= 20/13, 54/35 || Super-5th,
+|| 13 || 975 ||= 7/4 ||= min 7th ||= Cb ||= maj 7th ||= C# ||= Subminor 7th,
-Subminor 6th ||= maj 5th ||= aug 5th, dim 6th ||= A#, Bb ||= dim 5th, aug 6th ||= Ab, B# ||
+Septimal Minor 7th ||= perf 7th ||
-|| 11 || 825 ||= 8/5, 21/13 || Minor 6th ||= min 6th ||= min 6th ||= B ||= maj 6th ||= B ||
+|| 14 || 1050 ||= 11/6, 64/35 ||= maj 7th ||= C ||= min 7th ||= C ||= Neutral 7th ||= min 7th ||
-|| 12 || 900 ||= 27/16, 32/19 || Major 6th ||= maj 6th ||= maj 6th ||= B# ||= min 6th ||= Bb ||
+|| 15 || 1125 ||= 27/14, 52/27 ||= aug 7th, dim 8ve ||= C# ||= dim 7th, aug 8ve ||= D# ||= Supermajor 7th ||= maj 7th ||
-|| 13 || 975 ||= 7/4 || Subminor 7th,
+|| 16 || 1200 ||= 2/1 ||= 8ve ||= D ||= 8ve ||= D ||= octave ||= octave ||
-Septimal Minor 7th ||= perf 7th ||= min 7th ||= Cb ||= maj 7th ||= C# ||
-|| 14 || 1050 ||= 11/6, 64/35 || Neutral 7th ||= min 7th ||= maj 7th ||= C ||= min 7th ||= C ||
-|| 15 || 1125 ||= 27/14, 52/27 || Supermajor 7th ||= maj 7th ||= aug 7th, dim 8ve ||= C# ||= dim 7th, aug 8ve ||= D# ||
-|| 16 || 1200 ||= 2/1 || octave ||= octave ||= 8ve ||= D ||= 8ve ||= D ||
 *based on treating 16-EDO as a 2.5.7.13.19.27 subgroup temperament; other approaches are possible.
@@ Line 258: / Line 257: @@
 Ratios*&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Interval &lt;br /&gt;
+         &lt;td colspan="2" style="text-align: center;"&gt;Interval names,&lt;br /&gt;
-Names&lt;br /&gt;
+major wider&lt;br /&gt;
+than minor&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td colspan="2" style="text-align: center;"&gt;Interval names,&lt;br /&gt;
+major narrower&lt;br /&gt;
+than minor&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Interval Names&lt;br /&gt;
 Just&lt;br /&gt;
 &lt;/td&gt;
@@ Line 265: / Line 271: @@
 Names&lt;br /&gt;
 Simplified&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td colspan="2" style="text-align: center;"&gt;Interval names,&lt;br /&gt;
-major wider &lt;br /&gt;
-than minor&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td colspan="2" style="text-align: center;"&gt;Interval names, &lt;br /&gt;
-major narrower&lt;br /&gt;
-than minor&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 282: / Line 280: @@
          &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Unison&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;unison&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;unison&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;unison&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;Unison&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;unison&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 301: / Line 299: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;28/27, 27/26&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Subminor 2nd&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;min 2nd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;aug 1, dim 2nd&lt;br /&gt;
@@ Line 313: / Line 307: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Db, E#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Subminor 2nd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;min 2nd&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 321: / Line 319: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;12/11, 35/32&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Neutral 2nd&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;maj 2nd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;min 2nd&lt;br /&gt;
@@ Line 333: / Line 327: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;E&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Neutral 2nd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;maj 2nd&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 341: / Line 339: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;8/7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Supermajor 2nd,&lt;br /&gt;
-Septimal Whole-Tone&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;perf 2nd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;maj 2nd&lt;br /&gt;
@@ Line 354: / Line 347: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Eb&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Supermajor 2nd,&lt;br /&gt;
+Septimal Whole-Tone&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;perf 2nd&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 362: / Line 360: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;19/16, 32/27&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Minor 3rd&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;min 3rd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;min 3rd&lt;br /&gt;
@@ Line 374: / Line 368: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;F#&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;min 3rd&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 382: / Line 380: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;5/4, 26/21&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Major 3rd&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;maj 3rd&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;maj 3rd&lt;br /&gt;
@@ Line 394: / Line 388: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;F&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;maj 3rd&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 402: / Line 400: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;13/10, 35/27&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Sub-4th,&lt;br /&gt;
-Supermajor 3rd&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;min 4th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;aug 3rd, dim 4th&lt;br /&gt;
@@ Line 415: / Line 408: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Fb, G#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Sub-4th,&lt;br /&gt;
+Supermajor 3rd&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;min 4th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 424: / Line 422: @@
          &lt;td style="text-align: center;"&gt;27/20, 52/35, 256/189&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Wide 4th&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;perf 4th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;maj 4th&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;perf 4th&lt;br /&gt;
@@ Line 432: / Line 430: @@
          &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;perf 4th&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Wide 4th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;maj 4th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 443: / Line 441: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7/5, 10/7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Tritone&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;aug 4th,&lt;br /&gt;
-dim 5th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;aug 4th, dim 5th&lt;br /&gt;
@@ Line 456: / Line 449: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Gb, A#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Tritone&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;aug 4th,&lt;br /&gt;
+dim 5th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 465: / Line 463: @@
          &lt;td style="text-align: center;"&gt;40/27, 35/26, 189/128&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Narrow 5th&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;perf 5th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;min 5th&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;perf 5th&lt;br /&gt;
@@ Line 473: / Line 471: @@
          &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;perf 5th&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;Narrow 5th&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;min 5th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 484: / Line 482: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;20/13, 54/35&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Super-5th,&lt;br /&gt;
-Subminor 6th&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;maj 5th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;aug 5th, dim 6th&lt;br /&gt;
@@ Line 497: / Line 490: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Ab, B#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Super-5th,&lt;br /&gt;
+Subminor 6th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;maj 5th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 505: / Line 503: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;8/5, 21/13&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Minor 6th&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;min 6th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;min 6th&lt;br /&gt;
@@ Line 517: / Line 511: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;B&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;min 6th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 525: / Line 523: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;27/16, 32/19&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Major 6th&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;maj 6th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;maj 6th&lt;br /&gt;
@@ Line 537: / Line 531: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;Bb&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;maj 6th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 545: / Line 543: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;7/4&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Subminor 7th,&lt;br /&gt;
-Septimal Minor 7th&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;perf 7th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;min 7th&lt;br /&gt;
@@ Line 558: / Line 551: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;C#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Subminor 7th,&lt;br /&gt;
+Septimal Minor 7th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;perf 7th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 566: / Line 564: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;11/6, 64/35&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Neutral 7th&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;min 7th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;maj 7th&lt;br /&gt;
@@ Line 578: / Line 572: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Neutral 7th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;min 7th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 586: / Line 584: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;27/14, 52/27&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;Supermajor 7th&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: center;"&gt;maj 7th&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;aug 7th, dim 8ve&lt;br /&gt;
@@ Line 598: / Line 592: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;D#&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;Supermajor 7th&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;maj 7th&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 607: / Line 605: @@
          &lt;td style="text-align: center;"&gt;2/1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;octave&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;8ve&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;octave&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;8ve&lt;br /&gt;
@@ Line 615: / Line 613: @@
          &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;8ve&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;octave&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;octave&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;