53edo: Difference between revisions
Wikispaces>TallKite **Imported revision 602955968 - Original comment: ** |
Wikispaces>TallKite **Imported revision 602956382 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | 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>2017-01-02 06: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-01-02 06:39:27 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>602956382</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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=Intervals= | =Intervals= | ||
|| degree || solfege || cents || approximate ratios ||||= [[xenharmonic/Ups and Downs Notation|ups and downs ]][[xenharmonic/Ups and Downs Notation|notation]] || generator for || | || degree || solfege || cents || approximate ratios ||||||= [[xenharmonic/Ups and Downs Notation|ups and downs ]][[xenharmonic/Ups and Downs Notation|notation]] || generator for || | ||
|| 0 || do || 0.00 || 1/1 ||= P1 ||= D || || | || 0 || do || 0.00 || 1/1 ||= P1 ||= unison ||= D || || | ||
|| 1 || di || 22.64 || 81/80, 64/63, 50/49 ||= ^1 ||= D^ || || | || 1 || di || 22.64 || 81/80, 64/63, 50/49 ||= ^1 ||= up unison ||= D^ || || | ||
|| 2 || daw || 45.28 || 49/48, 36/35, 33/32, 128/125 ||= ^^1, vvm2 ||= D^^, Ebvv || [[xenharmonic/Quartonic|Quartonic]] || | || 2 || daw || 45.28 || 49/48, 36/35, 33/32, 128/125 ||= ^^1, | ||
|| 3 || ro || 67.92 || 27/26, 26/25, 25/24, 22/21 ||= vm2 ||= Ebv || || | vvm2 ||= double-up unison, | ||
|| 4 || rih || 90.57 || 21/20, 256/243 ||= m2 ||= Eb || || | double-down min 2nd ||= D^^, | ||
|| 5 || ra || 113.21 || 16/15, 15/14 ||= ^m2 ||= Eb^ || || | Ebvv || [[xenharmonic/Quartonic|Quartonic]] || | ||
|| 6 || ru || 135.85 || 14/13, 13/12, 27/25 ||= v~2 ||= Eb^^ || || | || 3 || ro || 67.92 || 27/26, 26/25, 25/24, 22/21 ||= vm2 ||= downminor 2nd ||= Ebv || || | ||
|| 7 || ruh || 158.49 || 12/11, 11/10, 800/729 ||= ^~2 ||= Evv || [[xenharmonic/Hemikleismic|Hemikleismic]] || | || 4 || rih || 90.57 || 21/20, 256/243 ||= m2 ||= minor 2nd ||= Eb || || | ||
|| 8 || reh || 181.13 || 10/9 ||= vM2 ||= Ev || || | || 5 || ra || 113.21 || 16/15, 15/14 ||= ^m2 ||= upminor 2nd ||= Eb^ || || | ||
|| 9 || re || 203.77 || 9/8 ||= M2 ||= E || || | || 6 || ru || 135.85 || 14/13, 13/12, 27/25 ||= v~2 ||= down-mid 2nd ||= Eb^^ || || | ||
|| 10 || ri || 226.42 || 8/7, 256/225 ||= ^M2 ||= E^ || || | || 7 || ruh || 158.49 || 12/11, 11/10, 800/729 ||= ^~2 ||= up-mid 2nd ||= Evv || [[xenharmonic/Hemikleismic|Hemikleismic]] || | ||
|| 11 || raw || 249.06 || 15/13, 144/125 ||= ^^M2, vvm3 ||= E^^, vvF || [[xenharmonic/Hemischis|Hemischis]] || | || 8 || reh || 181.13 || 10/9 ||= vM2 ||= downmajor 2nd ||= Ev || || | ||
|| 12 || ma || 271.70 || 7/6, 75/64 ||= vm3 ||= vF || [[xenharmonic/Orwell|Orwell]] || | || 9 || re || 203.77 || 9/8 ||= M2 ||= major 2nd ||= E || || | ||
|| 13 || meh || 294.34 || 13/11, 32/27 ||= m3 ||= F || || | || 10 || ri || 226.42 || 8/7, 256/225 ||= ^M2 ||= upmajor 2nd ||= E^ || || | ||
|| 14 || me || 316.98 || 6/5 ||= ^m3 ||= F^ || [[xenharmonic/Hanson|Hanson]]/[[xenharmonic/Catakleismic|Catakleismic]] || | || 11 || raw || 249.06 || 15/13, 144/125 ||= ^^M2, | ||
|| 15 || mu || 339.62 || 11/9, 243/200 ||= v~3 ||= F^^ || [[xenharmonic/Amity|Amity]]/[[xenharmonic/Hitchcock|Hitchcock]] || | vvm3 ||= double-up major 2nd, | ||
|| 16 || muh || 362.26 || 16/13, 100/81 ||= ^~3 ||= F#vv || || | double-down min 3rd ||= E^^, | ||
|| 17 || mi || 384.91 || 5/4 ||= vM3 ||= F#v || || | vvF || [[xenharmonic/Hemischis|Hemischis]] || | ||
|| 18 || maa || 407.55 || 81/64 ||= M3 ||= F# || || | || 12 || ma || 271.70 || 7/6, 75/64 ||= vm3 ||= downminor 3rd ||= vF || [[xenharmonic/Orwell|Orwell]] || | ||
|| 19 || mo || 430.19 || 9/7, 14/11 ||= ^M3 ||= F#^ || [[Hamity]] || | || 13 || meh || 294.34 || 13/11, 32/27 ||= m3 ||= minor 3rd ||= F || || | ||
|| 20 || maw || 452.83 || 13/10, 125/96 ||= ^^M3, | || 14 || me || 316.98 || 6/5 ||= ^m3 ||= upminor 3rd ||= F^ || [[xenharmonic/Hanson|Hanson]]/[[xenharmonic/Catakleismic|Catakleismic]] || | ||
|| 15 || mu || 339.62 || 11/9, 243/200 ||= v~3 ||= downmid 3rd ||= F^^ || [[xenharmonic/Amity|Amity]]/[[xenharmonic/Hitchcock|Hitchcock]] || | |||
|| 16 || muh || 362.26 || 16/13, 100/81 ||= ^~3 ||= upmid 3rd ||= F#vv || || | |||
|| 17 || mi || 384.91 || 5/4 ||= vM3 ||= downmajor 3rd ||= F#v || || | |||
|| 18 || maa || 407.55 || 81/64 ||= M3 ||= major 3rd ||= F# || || | |||
|| 19 || mo || 430.19 || 9/7, 14/11 ||= ^M3 ||= upmajor 3rd ||= F#^ || [[Hamity]] || | |||
|| 20 || maw || 452.83 || 13/10, 125/96 ||= ^^M3, | |||
vv4 ||= double-up major 3rd, | |||
double-down 4th ||= F#^^, | |||
Gvv || || | |||
|| 21 || fe || 475.47 || 21/16, 675/512, 320/243 ||= v4 ||= down 4th ||= Gv || [[xenharmonic/Vulture|Vulture]]/[[xenharmonic/Buzzard|Buzzard]] || | |||
|| 22 || fa || 498.11 || 4/3 ||= P4 ||= perfect 4th ||= G || || | |||
|| 23 || fih || 520.75 || 27/20 ||= ^4 ||= up 4th ||= G^ || || | |||
|| 24 || fu || 543.40 || 11/8, 15/11 ||= ^^4 ||= double-up 4th ||= G^^ || || | |||
|| 25 || fuh || 566.04 || 18/13 ||= vvA4, | |||
vd5 ||= double-down aug 4th, | |||
downdim 5th ||= G#vv, | |||
Abv || [[xenharmonic/Tricot|Tricot]] || | |||
|| 26 || fi || 588.68 || 7/5, 45/32 ||= vA4, | |||
d5 ||= downaug 4th, | |||
dim 5th ||= G#v, | |||
Ab || || | |||
|| 27 || se || 611.32 || 10/7, 64/45 ||= A4, | |||
^d5 ||= aug 4th, | |||
updim 5th ||= G#, | |||
Ab^ || || | |||
|| 28 || suh || 633.96 || 13/9 ||= ^A4, | |||
^^d5 ||= upaug 4th, | |||
double-up dim 5th ||= G#^, | |||
Ab^^ || || | |||
|| 29 || su || 656.60 || 16/11, 22/15 ||= vv5 ||= double-down 5th ||= Avv || || | |||
|| 30 || sih || 679.25 || 40/27 ||= v5 ||= down 5th ||= Av || || | |||
|| 31 || sol || 701.89 || 3/2 ||= P5 ||= perfect 5th ||= A || [[xenharmonic/Helmholtz|Helmholtz]]/[[xenharmonic/Garibaldi|Garibaldi]] || | |||
|| 32 || si || 724.53 || 32/21, 243/160, 1024/675 ||= ^5 ||= up 5th ||= A^ || || | |||
|| 33 || saw || 747.17 || 20/13, 192/125 ||= ^^5, | |||
vvm6 ||= double-up 5th, | |||
double-down minor 6th ||= A^^, | |||
Bbvv || || | |||
|| 34 || lo || 769.81 || 14/9, 25/16, 11/7 ||= vm6 ||= downminor 6th ||= Bbv || || | |||
|| 35 || leh || 792.45 || 128/81 ||= m6 ||= minor 6th ||= Bb || || | |||
|| 36 || le || 815.09 || 8/5 ||= ^m6 ||= upminor 6th ||= Bb^ || || | |||
|| 37 || lu || 837.74 || 13/8, 81/50 ||= v~6 ||= downmid 6th ||= Bb^^ || || | |||
|| 38 || luh || 860.38 || 18/11, 400/243 ||= ^~6 ||= upmid 6th ||= Bvv || || | |||
|| 39 || la || 883.02 || 5/3 ||= vM6 ||= downmajor 6th ||= Bv || || | |||
|| 40 || laa || 905.66 || 22/13, 27/16 ||= M6 ||= major 6th ||= B || || | |||
|| 41 || lo || 928.30 || 12/7 ||= ^M6 ||= upmajor 6th ||= B^ || || | |||
|| 42 || law || 950.94 || 26/15, 125/72 ||= ^^M6 | |||
vvm7 ||= double-up major 6th, | |||
double-down minor 7th ||= B^^, | |||
Cvv || || | |||
|| 43 || ta || 973.58 || 7/4 ||= vm7 ||= downminor 7th ||= Cv || || | |||
|| 44 || teh || 996.23 || 16/9 ||= m7 ||= minor 7th ||= C || || | |||
|| 45 || te || 1018.87 || 9/5 ||= ^m7 ||= upminor 7th ||= C^ || || | |||
|| 46 || tu || 1041.51 || 11/6, 20/11, 729/400 ||= v~7 ||= downmid 7th ||= C^^ || || | |||
|| 47 || tuh || 1064.15 || 13/7, 24/13, 50/27 ||= ^~7 ||= upmid 7th ||= C#vv || || | |||
|| 48 || ti || 1086.79 || 15/8 ||= vM7 ||= downmajor 7th ||= C#v || || | |||
|| 49 || tih || 1109.43 || 40/21, 243/128 ||= M7 ||= major 7th ||= C# || || | |||
|| 50 || to || 1132.08 || 48/25, 27/14 ||= ^M7 ||= upmajor 7th ||= C#^ || || | |||
|| 51 || taw || 1154.72 || 125/64 ||= ^^M7, | |||
vv8 ||= double-up major 7th, | |||
double-down 8ve ||= C#^^, | |||
Dvv || || | |||
|| 52 || da || 1177.36 || 160/81 ||= v8 ||= down 8ve ||= Dv || || | |||
|| 53 || do || 1200 || 2/1 ||= P8 ||= perfect 8ve ||= D || || | |||
The distance from C to C# is 5 keys or frets or EDOsteps, and one up equals one fifth of a sharp. Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]]. | |||
=Compositions= | =Compositions= | ||
| Line 215: | Line 249: | ||
<td>approximate ratios<br /> | <td>approximate ratios<br /> | ||
</td> | </td> | ||
<td colspan=" | <td colspan="3" style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">ups and downs </a><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation">notation</a><br /> | ||
</td> | </td> | ||
<td>generator for<br /> | <td>generator for<br /> | ||
| Line 230: | Line 264: | ||
</td> | </td> | ||
<td style="text-align: center;">P1<br /> | <td style="text-align: center;">P1<br /> | ||
</td> | |||
<td style="text-align: center;">unison<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">D<br /> | <td style="text-align: center;">D<br /> | ||
| Line 246: | Line 282: | ||
</td> | </td> | ||
<td style="text-align: center;">^1<br /> | <td style="text-align: center;">^1<br /> | ||
</td> | |||
<td style="text-align: center;">up unison<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">D^<br /> | <td style="text-align: center;">D^<br /> | ||
| Line 261: | Line 299: | ||
<td>49/48, 36/35, 33/32, 128/125<br /> | <td>49/48, 36/35, 33/32, 128/125<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^^1, vvm2<br /> | <td style="text-align: center;">^^1, <br /> | ||
vvm2<br /> | |||
</td> | |||
<td style="text-align: center;">double-up unison,<br /> | |||
double-down min 2nd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">D^^, Ebvv<br /> | <td style="text-align: center;">D^^,<br /> | ||
Ebvv<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Quartonic">Quartonic</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Quartonic">Quartonic</a><br /> | ||
| Line 278: | Line 321: | ||
</td> | </td> | ||
<td style="text-align: center;">vm2<br /> | <td style="text-align: center;">vm2<br /> | ||
</td> | |||
<td style="text-align: center;">downminor 2nd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Ebv<br /> | <td style="text-align: center;">Ebv<br /> | ||
| Line 294: | Line 339: | ||
</td> | </td> | ||
<td style="text-align: center;">m2<br /> | <td style="text-align: center;">m2<br /> | ||
</td> | |||
<td style="text-align: center;">minor 2nd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Eb<br /> | <td style="text-align: center;">Eb<br /> | ||
| Line 310: | Line 357: | ||
</td> | </td> | ||
<td style="text-align: center;">^m2<br /> | <td style="text-align: center;">^m2<br /> | ||
</td> | |||
<td style="text-align: center;">upminor 2nd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Eb^<br /> | <td style="text-align: center;">Eb^<br /> | ||
| Line 326: | Line 375: | ||
</td> | </td> | ||
<td style="text-align: center;">v~2<br /> | <td style="text-align: center;">v~2<br /> | ||
</td> | |||
<td style="text-align: center;">down-mid 2nd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Eb^^<br /> | <td style="text-align: center;">Eb^^<br /> | ||
| Line 342: | Line 393: | ||
</td> | </td> | ||
<td style="text-align: center;">^~2<br /> | <td style="text-align: center;">^~2<br /> | ||
</td> | |||
<td style="text-align: center;">up-mid 2nd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Evv<br /> | <td style="text-align: center;">Evv<br /> | ||
| Line 358: | Line 411: | ||
</td> | </td> | ||
<td style="text-align: center;">vM2<br /> | <td style="text-align: center;">vM2<br /> | ||
</td> | |||
<td style="text-align: center;">downmajor 2nd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Ev<br /> | <td style="text-align: center;">Ev<br /> | ||
| Line 374: | Line 429: | ||
</td> | </td> | ||
<td style="text-align: center;">M2<br /> | <td style="text-align: center;">M2<br /> | ||
</td> | |||
<td style="text-align: center;">major 2nd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">E<br /> | <td style="text-align: center;">E<br /> | ||
| Line 390: | Line 447: | ||
</td> | </td> | ||
<td style="text-align: center;">^M2<br /> | <td style="text-align: center;">^M2<br /> | ||
</td> | |||
<td style="text-align: center;">upmajor 2nd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">E^<br /> | <td style="text-align: center;">E^<br /> | ||
| Line 405: | Line 464: | ||
<td>15/13, 144/125<br /> | <td>15/13, 144/125<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^^M2, vvm3<br /> | <td style="text-align: center;">^^M2,<br /> | ||
vvm3<br /> | |||
</td> | |||
<td style="text-align: center;">double-up major 2nd,<br /> | |||
double-down min 3rd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">E^^, vvF<br /> | <td style="text-align: center;">E^^,<br /> | ||
vvF<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hemischis">Hemischis</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Hemischis">Hemischis</a><br /> | ||
| Line 422: | Line 486: | ||
</td> | </td> | ||
<td style="text-align: center;">vm3<br /> | <td style="text-align: center;">vm3<br /> | ||
</td> | |||
<td style="text-align: center;">downminor 3rd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">vF<br /> | <td style="text-align: center;">vF<br /> | ||
| Line 438: | Line 504: | ||
</td> | </td> | ||
<td style="text-align: center;">m3<br /> | <td style="text-align: center;">m3<br /> | ||
</td> | |||
<td style="text-align: center;">minor 3rd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">F<br /> | <td style="text-align: center;">F<br /> | ||
| Line 454: | Line 522: | ||
</td> | </td> | ||
<td style="text-align: center;">^m3<br /> | <td style="text-align: center;">^m3<br /> | ||
</td> | |||
<td style="text-align: center;">upminor 3rd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">F^<br /> | <td style="text-align: center;">F^<br /> | ||
| Line 470: | Line 540: | ||
</td> | </td> | ||
<td style="text-align: center;">v~3<br /> | <td style="text-align: center;">v~3<br /> | ||
</td> | |||
<td style="text-align: center;">downmid 3rd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">F^^<br /> | <td style="text-align: center;">F^^<br /> | ||
| Line 486: | Line 558: | ||
</td> | </td> | ||
<td style="text-align: center;">^~3<br /> | <td style="text-align: center;">^~3<br /> | ||
</td> | |||
<td style="text-align: center;">upmid 3rd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">F#vv<br /> | <td style="text-align: center;">F#vv<br /> | ||
| Line 502: | Line 576: | ||
</td> | </td> | ||
<td style="text-align: center;">vM3<br /> | <td style="text-align: center;">vM3<br /> | ||
</td> | |||
<td style="text-align: center;">downmajor 3rd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">F#v<br /> | <td style="text-align: center;">F#v<br /> | ||
| Line 518: | Line 594: | ||
</td> | </td> | ||
<td style="text-align: center;">M3<br /> | <td style="text-align: center;">M3<br /> | ||
</td> | |||
<td style="text-align: center;">major 3rd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">F#<br /> | <td style="text-align: center;">F#<br /> | ||
| Line 534: | Line 612: | ||
</td> | </td> | ||
<td style="text-align: center;">^M3<br /> | <td style="text-align: center;">^M3<br /> | ||
</td> | |||
<td style="text-align: center;">upmajor 3rd<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">F#^<br /> | <td style="text-align: center;">F#^<br /> | ||
| Line 549: | Line 629: | ||
<td>13/10, 125/96<br /> | <td>13/10, 125/96<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^^M3, vv4<br /> | <td style="text-align: center;">^^M3,<br /> | ||
<br /> | |||
vv4<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">F#^^, Gvv<br /> | <td style="text-align: center;">double-up major 3rd,<br /> | ||
double-down 4th<br /> | |||
</td> | |||
<td style="text-align: center;">F#^^,<br /> | |||
Gvv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 566: | Line 652: | ||
</td> | </td> | ||
<td style="text-align: center;">v4<br /> | <td style="text-align: center;">v4<br /> | ||
</td> | |||
<td style="text-align: center;">down 4th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Gv<br /> | <td style="text-align: center;">Gv<br /> | ||
| Line 582: | Line 670: | ||
</td> | </td> | ||
<td style="text-align: center;">P4<br /> | <td style="text-align: center;">P4<br /> | ||
</td> | |||
<td style="text-align: center;">perfect 4th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">G<br /> | <td style="text-align: center;">G<br /> | ||
| Line 598: | Line 688: | ||
</td> | </td> | ||
<td style="text-align: center;">^4<br /> | <td style="text-align: center;">^4<br /> | ||
</td> | |||
<td style="text-align: center;">up 4th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">G^<br /> | <td style="text-align: center;">G^<br /> | ||
| Line 614: | Line 706: | ||
</td> | </td> | ||
<td style="text-align: center;">^^4<br /> | <td style="text-align: center;">^^4<br /> | ||
</td> | |||
<td style="text-align: center;">double-up 4th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">G^^<br /> | <td style="text-align: center;">G^^<br /> | ||
| Line 629: | Line 723: | ||
<td>18/13<br /> | <td>18/13<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vvA4, vd5<br /> | <td style="text-align: center;">vvA4,<br /> | ||
vd5<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">G#vv, Abv<br /> | <td style="text-align: center;">double-down aug 4th, <br /> | ||
downdim 5th<br /> | |||
</td> | |||
<td style="text-align: center;">G#vv,<br /> | |||
Abv<br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tricot">Tricot</a><br /> | <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tricot">Tricot</a><br /> | ||
| Line 645: | Line 744: | ||
<td>7/5, 45/32<br /> | <td>7/5, 45/32<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">vA4, d5<br /> | <td style="text-align: center;">vA4,<br /> | ||
d5<br /> | |||
</td> | |||
<td style="text-align: center;">downaug 4th,<br /> | |||
dim 5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">G#v, Ab<br /> | <td style="text-align: center;">G#v,<br /> | ||
Ab<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 661: | Line 765: | ||
<td>10/7, 64/45<br /> | <td>10/7, 64/45<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">A4, ^d5<br /> | <td style="text-align: center;">A4,<br /> | ||
^d5<br /> | |||
</td> | |||
<td style="text-align: center;">aug 4th,<br /> | |||
updim 5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">G#, Ab^<br /> | <td style="text-align: center;">G#,<br /> | ||
Ab^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 677: | Line 786: | ||
<td>13/9<br /> | <td>13/9<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^A4, ^^d5<br /> | <td style="text-align: center;">^A4,<br /> | ||
<br /> | |||
^^d5<br /> | |||
</td> | |||
<td style="text-align: center;">upaug 4th,<br /> | |||
double-up dim 5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">G#^, Ab^^<br /> | <td style="text-align: center;">G#^,<br /> | ||
Ab^^<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 694: | Line 809: | ||
</td> | </td> | ||
<td style="text-align: center;">vv5<br /> | <td style="text-align: center;">vv5<br /> | ||
</td> | |||
<td style="text-align: center;">double-down 5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Avv<br /> | <td style="text-align: center;">Avv<br /> | ||
| Line 710: | Line 827: | ||
</td> | </td> | ||
<td style="text-align: center;">v5<br /> | <td style="text-align: center;">v5<br /> | ||
</td> | |||
<td style="text-align: center;">down 5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Av<br /> | <td style="text-align: center;">Av<br /> | ||
| Line 726: | Line 845: | ||
</td> | </td> | ||
<td style="text-align: center;">P5<br /> | <td style="text-align: center;">P5<br /> | ||
</td> | |||
<td style="text-align: center;">perfect 5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">A<br /> | <td style="text-align: center;">A<br /> | ||
| Line 742: | Line 863: | ||
</td> | </td> | ||
<td style="text-align: center;">^5<br /> | <td style="text-align: center;">^5<br /> | ||
</td> | |||
<td style="text-align: center;">up 5th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">A^<br /> | <td style="text-align: center;">A^<br /> | ||
| Line 757: | Line 880: | ||
<td>20/13, 192/125<br /> | <td>20/13, 192/125<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^^5, vvm6<br /> | <td style="text-align: center;">^^5,<br /> | ||
<br /> | |||
vvm6<br /> | |||
</td> | |||
<td style="text-align: center;">double-up 5th,<br /> | |||
double-down minor 6th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">A^^, Bbvv<br /> | <td style="text-align: center;">A^^,<br /> | ||
Bbvv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 774: | Line 903: | ||
</td> | </td> | ||
<td style="text-align: center;">vm6<br /> | <td style="text-align: center;">vm6<br /> | ||
</td> | |||
<td style="text-align: center;">downminor 6th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Bbv<br /> | <td style="text-align: center;">Bbv<br /> | ||
| Line 790: | Line 921: | ||
</td> | </td> | ||
<td style="text-align: center;">m6<br /> | <td style="text-align: center;">m6<br /> | ||
</td> | |||
<td style="text-align: center;">minor 6th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Bb<br /> | <td style="text-align: center;">Bb<br /> | ||
| Line 806: | Line 939: | ||
</td> | </td> | ||
<td style="text-align: center;">^m6<br /> | <td style="text-align: center;">^m6<br /> | ||
</td> | |||
<td style="text-align: center;">upminor 6th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Bb^<br /> | <td style="text-align: center;">Bb^<br /> | ||
| Line 822: | Line 957: | ||
</td> | </td> | ||
<td style="text-align: center;">v~6<br /> | <td style="text-align: center;">v~6<br /> | ||
</td> | |||
<td style="text-align: center;">downmid 6th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Bb^^<br /> | <td style="text-align: center;">Bb^^<br /> | ||
| Line 838: | Line 975: | ||
</td> | </td> | ||
<td style="text-align: center;">^~6<br /> | <td style="text-align: center;">^~6<br /> | ||
</td> | |||
<td style="text-align: center;">upmid 6th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Bvv<br /> | <td style="text-align: center;">Bvv<br /> | ||
| Line 854: | Line 993: | ||
</td> | </td> | ||
<td style="text-align: center;">vM6<br /> | <td style="text-align: center;">vM6<br /> | ||
</td> | |||
<td style="text-align: center;">downmajor 6th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Bv<br /> | <td style="text-align: center;">Bv<br /> | ||
| Line 870: | Line 1,011: | ||
</td> | </td> | ||
<td style="text-align: center;">M6<br /> | <td style="text-align: center;">M6<br /> | ||
</td> | |||
<td style="text-align: center;">major 6th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">B<br /> | <td style="text-align: center;">B<br /> | ||
| Line 886: | Line 1,029: | ||
</td> | </td> | ||
<td style="text-align: center;">^M6<br /> | <td style="text-align: center;">^M6<br /> | ||
</td> | |||
<td style="text-align: center;">upmajor 6th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">B^<br /> | <td style="text-align: center;">B^<br /> | ||
| Line 901: | Line 1,046: | ||
<td>26/15, 125/72<br /> | <td>26/15, 125/72<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^^M6, | <td style="text-align: center;">^^M6 <br /> | ||
vvm7<br /> | |||
</td> | |||
<td style="text-align: center;">double-up major 6th,<br /> | |||
double-down minor 7th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">B^^, Cvv<br /> | <td style="text-align: center;">B^^,<br /> | ||
Cvv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 918: | Line 1,068: | ||
</td> | </td> | ||
<td style="text-align: center;">vm7<br /> | <td style="text-align: center;">vm7<br /> | ||
</td> | |||
<td style="text-align: center;">downminor 7th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Cv<br /> | <td style="text-align: center;">Cv<br /> | ||
| Line 934: | Line 1,086: | ||
</td> | </td> | ||
<td style="text-align: center;">m7<br /> | <td style="text-align: center;">m7<br /> | ||
</td> | |||
<td style="text-align: center;">minor 7th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">C<br /> | <td style="text-align: center;">C<br /> | ||
| Line 950: | Line 1,104: | ||
</td> | </td> | ||
<td style="text-align: center;">^m7<br /> | <td style="text-align: center;">^m7<br /> | ||
</td> | |||
<td style="text-align: center;">upminor 7th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">C^<br /> | <td style="text-align: center;">C^<br /> | ||
| Line 966: | Line 1,122: | ||
</td> | </td> | ||
<td style="text-align: center;">v~7<br /> | <td style="text-align: center;">v~7<br /> | ||
</td> | |||
<td style="text-align: center;">downmid 7th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">C^^<br /> | <td style="text-align: center;">C^^<br /> | ||
| Line 982: | Line 1,140: | ||
</td> | </td> | ||
<td style="text-align: center;">^~7<br /> | <td style="text-align: center;">^~7<br /> | ||
</td> | |||
<td style="text-align: center;">upmid 7th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">C#vv<br /> | <td style="text-align: center;">C#vv<br /> | ||
| Line 998: | Line 1,158: | ||
</td> | </td> | ||
<td style="text-align: center;">vM7<br /> | <td style="text-align: center;">vM7<br /> | ||
</td> | |||
<td style="text-align: center;">downmajor 7th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">C#v<br /> | <td style="text-align: center;">C#v<br /> | ||
| Line 1,014: | Line 1,176: | ||
</td> | </td> | ||
<td style="text-align: center;">M7<br /> | <td style="text-align: center;">M7<br /> | ||
</td> | |||
<td style="text-align: center;">major 7th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">C#<br /> | <td style="text-align: center;">C#<br /> | ||
| Line 1,030: | Line 1,194: | ||
</td> | </td> | ||
<td style="text-align: center;">^M7<br /> | <td style="text-align: center;">^M7<br /> | ||
</td> | |||
<td style="text-align: center;">upmajor 7th<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">C#^<br /> | <td style="text-align: center;">C#^<br /> | ||
| Line 1,045: | Line 1,211: | ||
<td>125/64<br /> | <td>125/64<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">^^M7, vv8<br /> | <td style="text-align: center;">^^M7,<br /> | ||
<br /> | |||
vv8<br /> | |||
</td> | |||
<td style="text-align: center;">double-up major 7th,<br /> | |||
double-down 8ve<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">C#^^, Dvv<br /> | <td style="text-align: center;">C#^^,<br /> | ||
Dvv<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,062: | Line 1,234: | ||
</td> | </td> | ||
<td style="text-align: center;">v8<br /> | <td style="text-align: center;">v8<br /> | ||
</td> | |||
<td style="text-align: center;">down 8ve<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Dv<br /> | <td style="text-align: center;">Dv<br /> | ||
| Line 1,078: | Line 1,252: | ||
</td> | </td> | ||
<td style="text-align: center;">P8<br /> | <td style="text-align: center;">P8<br /> | ||
</td> | |||
<td style="text-align: center;">perfect 8ve<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">D<br /> | <td style="text-align: center;">D<br /> | ||
| Line 1,086: | Line 1,262: | ||
</table> | </table> | ||
<br /> | The distance from C to C# is 5 keys or frets or EDOsteps, and one up equals one fifth of a sharp. Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs">Ups and Downs Notation - Chord names in other EDOs</a>.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:8 -->Compositions</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:8 -->Compositions</h1> | ||