Porcupine modes

Revision as of 12:21, 1 November 2011 by Wikispaces>keenanpepper (**Imported revision 270681506 - Original comment: **)

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This revision was by author keenanpepper and made on 2011-11-01 12:21:31 UTC.
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Original Wikitext content:

See [[Porcupine Temperament Modal Harmony]].

To be merged, or not:

Modes of the 7-note MOS

Lssssss
1/1 9/8 5/4 11/8 3/2 5/3 9/5 2/1
Major with 9/8 (VII is major)

sLsssss
1/1 10/9 5/4 11/8 3/2 5/3 9/5 2/1
Major with 10/9 (vii is minor)

ssLssss
1/1 10/9 6/5 11/8 3/2 5/3 9/5 2/1
Minor with 11/8 (II is major)

sssLsss
1/1 10/9 6/5 4/3 3/2 5/3 9/5 2/1
Symmetric minor (ii is minor)

ssssLss
1/1 10/9 6/5 4/3 16/11 5/3 9/5 2/1
Diminished with 5/3

sssssLs
1/1 10/9 6/5 4/3 16/11 8/5 9/5 2/1
Diminished with 8/5

ssssssL
1/1 10/9 6/5 4/3 16/11 8/5 7/4 2/1
[[magical seventh chord|Magical seventh]] mode

Modes of the most compact MODMOS (L = 9/8, m = 10/9, s = 16/15, L = m + s)

LsLmmmm
1/1 9/8 6/5 11/8 3/2 5/3 9/5 2/1
Minor with minor v chord (most minor-sounding minor)

mLsLmmm
1/1 10/9 5/4 4/3 3/2 5/3 9/5 2/1
Major with 4/3

mmLsLmm
1/1 10/9 6/5 11/8 16/11 5/3 9/5 2/1
Symmetric diminished

mmmLsLm
1/1 10/9 6/5 4/3 3/2 8/5 9/5 2/1
Minor with 8/5 (iv is minor)

mmmmLsL
1/1 10/9 6/5 4/3 16/11 5/3 7/4 2/1
Magical seventh with 5/3

LmmmmLs
1/1 9/8 5/4 11/8 3/2 5/3 15/8 2/1
Major with major V chord (most major-sounding major)

sLmmmmL
1/1 16/15 6/5 4/3 16/11 8/5 7/4 2/1
Magical seventh with 16/15

Original HTML content:

<html><head><title>Porcupine modes</title></head><body>See <a class="wiki_link" href="/Porcupine%20Temperament%20Modal%20Harmony">Porcupine Temperament Modal Harmony</a>.<br />
<br />
To be merged, or not:<br />
<br />
Modes of the 7-note MOS<br />
<br />
Lssssss<br />
1/1 9/8 5/4 11/8 3/2 5/3 9/5 2/1<br />
Major with 9/8 (VII is major)<br />
<br />
sLsssss<br />
1/1 10/9 5/4 11/8 3/2 5/3 9/5 2/1<br />
Major with 10/9 (vii is minor)<br />
<br />
ssLssss<br />
1/1 10/9 6/5 11/8 3/2 5/3 9/5 2/1<br />
Minor with 11/8 (II is major)<br />
<br />
sssLsss<br />
1/1 10/9 6/5 4/3 3/2 5/3 9/5 2/1<br />
Symmetric minor (ii is minor)<br />
<br />
ssssLss<br />
1/1 10/9 6/5 4/3 16/11 5/3 9/5 2/1<br />
Diminished with 5/3<br />
<br />
sssssLs<br />
1/1 10/9 6/5 4/3 16/11 8/5 9/5 2/1<br />
Diminished with 8/5<br />
<br />
ssssssL<br />
1/1 10/9 6/5 4/3 16/11 8/5 7/4 2/1<br />
<a class="wiki_link" href="/magical%20seventh%20chord">Magical seventh</a> mode<br />
<br />
Modes of the most compact MODMOS (L = 9/8, m = 10/9, s = 16/15, L = m + s)<br />
<br />
LsLmmmm<br />
1/1 9/8 6/5 11/8 3/2 5/3 9/5 2/1<br />
Minor with minor v chord (most minor-sounding minor)<br />
<br />
mLsLmmm<br />
1/1 10/9 5/4 4/3 3/2 5/3 9/5 2/1<br />
Major with 4/3<br />
<br />
mmLsLmm<br />
1/1 10/9 6/5 11/8 16/11 5/3 9/5 2/1<br />
Symmetric diminished<br />
<br />
mmmLsLm<br />
1/1 10/9 6/5 4/3 3/2 8/5 9/5 2/1<br />
Minor with 8/5 (iv is minor)<br />
<br />
mmmmLsL<br />
1/1 10/9 6/5 4/3 16/11 5/3 7/4 2/1<br />
Magical seventh with 5/3<br />
<br />
LmmmmLs<br />
1/1 9/8 5/4 11/8 3/2 5/3 15/8 2/1<br />
Major with major V chord (most major-sounding major)<br />
<br />
sLmmmmL<br />
1/1 16/15 6/5 4/3 16/11 8/5 7/4 2/1<br />
Magical seventh with 16/15</body></html>