MODMOS scale: 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:genewardsmith|genewardsmith]] and made on <tt>2011-03-14 13:00:53 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-14 13:39:20 UTC</tt>.

: The original revision id was <tt>~~210319230~~</tt>.

: The original revision id was <tt>210336156</tt>.

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

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do not get another diatonic scale, then we have a MODMOS. For example LsLLLLs, which is CDEbFGABC', is the melodic minor scale, which is therefore a MODMOS. The harmonic minor scale is CDEbFGAbBC', and is therefore also a MODMOS. However, the natural minor, CDEbFGAbBbC' is a mode of the diatonic scale, and a MOS rather than a MODMOS.

If we take the 12 note MOS rather than the seven notes of the diatonic scale, then the chroma is a diesis, ~~whihc~~ in 1/4 comma meantone is exactly 128/125, or 41.059 cents.

If we take the 12 note MOS rather than the seven notes of the diatonic scale, then the chroma is a diesis, which in 1/4 comma meantone is exactly 128/125, or 41.059 cents. However, other meantone tunings will give it a different size, and in [[50edo|50et]], for example, it is exactly 48 cents in size. Subtracting this adjusts a note twelve fifths up on the chain of fifths, and adding it adjusts it twelve notes down. If we take a chain of eleven 50et fifths up from the unison to create a 12-note MOS, so that we have a generator chain from 0 to 11, we may adjust the 3 up to 15 and the 7 up to 19. This leads to the scale called "smithgw_modmos12a.scl" in the [[http://www.huygens-fokker.org/docs/scales.zip|Scala Scale Archive]]. Another MODMOS of Meantone[12] in the archive is wreckpop, "smithgw_wreckpop.scl". This takes a gamut of Meantone[12] from -4 to 7, which we may call from Ab to F#, and adjusts the 5 (B) up a 48 cent diesis, and so down to -7 fifths, or Cb, and the -2 (Bb) down a diesis, and so up the chain of fifths to 10 (A#.)

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do not get another diatonic scale, then we have a MODMOS. For example LsLLLLs, which is CDEbFGABC', is the melodic minor scale, which is therefore a MODMOS. The harmonic minor scale is CDEbFGAbBC', and is therefore also a MODMOS. However, the natural minor, CDEbFGAbBbC' is a mode of the diatonic scale, and a MOS rather than a MODMOS.

If we take the 12 note MOS rather than the seven notes of the diatonic scale, then the chroma is a diesis, ~~whihc~~ in 1/4 comma meantone is exactly 128/125, or 41.059 cents.

If we take the 12 note MOS rather than the seven notes of the diatonic scale, then the chroma is a diesis, which in 1/4 comma meantone is exactly 128/125, or 41.059 cents. However, other meantone tunings will give it a different size, and in <a class="wiki_link" href="/50edo">50et</a>, for example, it is exactly 48 cents in size. Subtracting this adjusts a note twelve fifths up on the chain of fifths, and adding it adjusts it twelve notes down. If we take a chain of eleven 50et fifths up from the unison to create a 12-note MOS, so that we have a generator chain from 0 to 11, we may adjust the 3 up to 15 and the 7 up to 19. This leads to the scale called &quot;smithgw_modmos12a.scl&quot; in the <a class="wiki_link_ext" href="http://www.huygens-fokker.org/docs/scales.zip" rel="nofollow">Scala Scale Archive</a>. Another MODMOS of Meantone[12] in the archive is wreckpop, &quot;smithgw_wreckpop.scl&quot;. This takes a gamut of Meantone[12] from -4 to 7, which we may call from Ab to F#, and adjusts the 5 (B) up a 48 cent diesis, and so down to -7 fifths, or Cb, and the -2 (Bb) down a diesis, and so up the chain of fifths to 10 (A#.)

@@ 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:genewardsmith|genewardsmith]] and made on <tt>2011-03-14 13:00:53 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-14 13:39:20 UTC</tt>.<br>
-: The original revision id was <tt>210319230</tt>.<br>
+: The original revision id was <tt>210336156</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 17: / Line 17: @@
 do not get another diatonic scale, then we have a MODMOS. For example LsLLLLs, which is CDEbFGABC', is the melodic minor scale, which is therefore a MODMOS. The harmonic minor scale is CDEbFGAbBC', and is therefore also a MODMOS. However, the natural minor, CDEbFGAbBbC' is a mode of the diatonic scale, and a MOS rather than a MODMOS.
-If we take the 12 note MOS rather than the seven notes of the diatonic scale, then the chroma is a diesis, whihc in 1/4 comma meantone is exactly 128/125, or 41.059 cents.
+If we take the 12 note MOS rather than the seven notes of the diatonic scale, then the chroma is a diesis, which in 1/4 comma meantone is exactly 128/125, or 41.059 cents. However, other meantone tunings will give it a different size, and in [[50edo|50et]], for example, it is exactly 48 cents in size. Subtracting this adjusts a note twelve fifths up on the chain of fifths, and adding it adjusts it twelve notes down. If we take a chain of eleven 50et fifths up from the unison to create a 12-note MOS, so that we have a generator chain from 0 to 11, we may adjust the 3 up to 15 and the 7 up to 19. This leads to the scale called "smithgw_modmos12a.scl" in the [[http://www.huygens-fokker.org/docs/scales.zip|Scala Scale Archive]]. Another MODMOS of Meantone[12] in the archive is wreckpop, "smithgw_wreckpop.scl". This takes a gamut of Meantone[12] from -4 to 7, which we may call from Ab to F#, and adjusts the 5 (B) up a 48 cent diesis, and so down to -7 fifths, or Cb, and the -2 (Bb) down a diesis, and so up the chain of fifths to 10 (A#.)
@@ Line 92: / Line 92: @@
 do not get another diatonic scale, then we have a MODMOS. For example LsLLLLs, which is CDEbFGABC', is the melodic minor scale, which is therefore a MODMOS. The harmonic minor scale is CDEbFGAbBC', and is therefore also a MODMOS. However, the natural minor, CDEbFGAbBbC' is a mode of the diatonic scale, and a MOS rather than a MODMOS.&lt;br /&gt;
 &lt;br /&gt;
-If we take the 12 note MOS rather than the seven notes of the diatonic scale, then the chroma is a diesis, whihc in 1/4 comma meantone is exactly 128/125, or 41.059 cents.&lt;br /&gt;
+If we take the 12 note MOS rather than the seven notes of the diatonic scale, then the chroma is a diesis, which in 1/4 comma meantone is exactly 128/125, or 41.059 cents. However, other meantone tunings will give it a different size, and in &lt;a class="wiki_link" href="/50edo"&gt;50et&lt;/a&gt;, for example, it is exactly 48 cents in size. Subtracting this adjusts a note twelve fifths up on the chain of fifths, and adding it adjusts it twelve notes down. If we take a chain of eleven 50et fifths up from the unison to create a 12-note MOS, so that we have a generator chain from 0 to 11, we may adjust the 3 up to 15 and the 7 up to 19. This leads to the scale called &amp;quot;smithgw_modmos12a.scl&amp;quot; in the &lt;a class="wiki_link_ext" href="http://www.huygens-fokker.org/docs/scales.zip" rel="nofollow"&gt;Scala Scale Archive&lt;/a&gt;. Another MODMOS of Meantone[12] in the archive is wreckpop, &amp;quot;smithgw_wreckpop.scl&amp;quot;. This takes a gamut of Meantone[12] from -4 to 7, which we may call from Ab to F#, and adjusts the 5 (B) up a 48 cent diesis, and so down to -7 fifths, or Cb, and the -2 (Bb) down a diesis, and so up the chain of fifths to 10 (A#.)&lt;br /&gt;
 &lt;br /&gt;
 &lt;br /&gt;