16edo: Difference between revisions
Wikispaces>guest **Imported revision 139051703 - Original comment: ** |
Wikispaces>guest **Imported revision 139053107 - 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:guest|guest]] and made on <tt>2010-05-03 | : This revision was by author [[User:guest|guest]] and made on <tt>2010-05-03 13:01:02 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>139053107</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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In 16-edo Diatonic scales played are dissonant because of the 25 cent raised superfourth in conjunction with the 25 cent subtracted fifth. The septimal semi diminished fourth can be more desirable. Perhaps using Moment of Symmetry Scales an alternative temperament families like the "Anti-Diatonic" Mavila (which reverses step sizes of diatonic), Diminished, Happy, Rice, Grumpy, Mosh, Magic, Lemba, Cynder, and Decatonic can be more interesting and suitable. | In 16-edo Diatonic scales played are dissonant because of the 25 cent raised superfourth in conjunction with the 25 cent subtracted fifth. The septimal semi diminished fourth can be more desirable. Perhaps using Moment of Symmetry Scales an alternative temperament families like the "Anti-Diatonic" Mavila (which reverses step sizes of diatonic), Diminished, Happy, Rice, Grumpy, Mosh, Magic, Lemba, Cynder, and Decatonic can be more interesting and suitable. | ||
<span class="text_exposed_show"> Diminished family of scales (1 3 1 3 1 3 1 3, 1 1 2 1 1 2 1 1 2 1 1 2) | |||
Magic family of scales (1 4 1 4 1 4 1, 1 3 1 1 3 1 1 1 3 1, 1 1 2 1 1 1 2 1 1 1 2 1 1) | |||
Cynder family (3 3 4 3 3, 3 3 1 3 3 3, 1 2 1 2 1 2 1 2 1 2 1) | |||
Lemba family (3 2 3 3 2 3, 2 1 2 1 2 2 1 2 1 2)</span> | |||
Like the conventional 12-tet diatonic and pentatonic (meantone) scales, these arise from tempering out a unison vector from Fokker periodicity blocks. Only in 16-EDO, that unison vector is 135:<span class="text_exposed_show">128, instead of 81:80. </span> | |||
0. 1/1 C | 0. 1/1 C | ||
1. 75. | 1. 75.00 cents C# Dbb | ||
2. 150. | 2. 150.00 cents Cx Db | ||
3. 225. | 3. 225.00 cents D | ||
4. 300. | 4. 300.00 cents D# Ebb | ||
5. 375. | 5. 375.00 cents Dx Eb | ||
6. 450. | 6. 450.00 cents E Fb | ||
7. 525. | 7. 525.00 cents F | ||
8. 600. | 8. 600.00 cents F# Gbb | ||
9. 675. | 9. 675.00 cents Fx Gb | ||
10. 750. | 10. 750.00 cents G Abb | ||
11. 825. | 11. 825.00 cents G# Ab | ||
12. 900. | 12. 900.00 cents A | ||
13. 975. | 13. 975.00 cents A# Bbb | ||
14. 1050. | 14. 1050.00 cents Ax Bb | ||
15. 1125. | 15. 1125.00 cents B Cb | ||
16. 2/1 C | 16. 2/1 C | ||
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In 16-edo Diatonic scales played are dissonant because of the 25 cent raised superfourth in conjunction with the 25 cent subtracted fifth. The septimal semi diminished fourth can be more desirable. Perhaps using Moment of Symmetry Scales an alternative temperament families like the &quot;Anti-Diatonic&quot; Mavila (which reverses step sizes of diatonic), Diminished, Happy, Rice, Grumpy, Mosh, Magic, Lemba, Cynder, and Decatonic can be more interesting and suitable.<br /> | In 16-edo Diatonic scales played are dissonant because of the 25 cent raised superfourth in conjunction with the 25 cent subtracted fifth. The septimal semi diminished fourth can be more desirable. Perhaps using Moment of Symmetry Scales an alternative temperament families like the &quot;Anti-Diatonic&quot; Mavila (which reverses step sizes of diatonic), Diminished, Happy, Rice, Grumpy, Mosh, Magic, Lemba, Cynder, and Decatonic can be more interesting and suitable.<br /> | ||
<br /> | <br /> | ||
<span class="text_exposed_show"> Diminished family of scales (1 3 1 3 1 3 1 3, 1 1 2 1 1 2 1 1 2 1 1 2)<br /> | |||
<br /> | Magic family of scales (1 4 1 4 1 4 1, 1 3 1 1 3 1 1 1 3 1, 1 1 2 1 1 1 2 1 1 1 2 1 1)<br /> | ||
Cynder family (3 3 4 3 3, 3 3 1 3 3 3, 1 2 1 2 1 2 1 2 1 2 1)<br /> | |||
Lemba family (3 2 3 3 2 3, 2 1 2 1 2 2 1 2 1 2)</span><br /> | |||
<br /> | <br /> | ||
Like the conventional 12-tet diatonic and pentatonic (meantone) scales, these arise from tempering out a unison vector from Fokker periodicity blocks. Only in 16-EDO, that unison vector is 135:<span class="text_exposed_show">128, instead of 81:80. </span><br /> | |||
<br /> | <br /> | ||
0. 1/1 C<br /> | 0. 1/1 C<br /> | ||
1. 75. | 1. 75.00 cents C# Dbb<br /> | ||
2. 150. | 2. 150.00 cents Cx Db<br /> | ||
3. 225. | 3. 225.00 cents D<br /> | ||
4. 300. | 4. 300.00 cents D# Ebb<br /> | ||
5. 375. | 5. 375.00 cents Dx Eb<br /> | ||
6. 450. | 6. 450.00 cents E Fb<br /> | ||
7. 525. | 7. 525.00 cents F<br /> | ||
8. 600. | 8. 600.00 cents F# Gbb<br /> | ||
9. 675. | 9. 675.00 cents Fx Gb<br /> | ||
10. 750. | 10. 750.00 cents G Abb<br /> | ||
11. 825. | 11. 825.00 cents G# Ab<br /> | ||
12. 900. | 12. 900.00 cents A<br /> | ||
13. 975. | 13. 975.00 cents A# Bbb<br /> | ||
14. 1050. | 14. 1050.00 cents Ax Bb<br /> | ||
15. 1125. | 15. 1125.00 cents B Cb<br /> | ||
16. 2/1 C<br /> | 16. 2/1 C<br /> | ||
<br /> | <br /> | ||