3L 10s: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Infobox MOS}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
{{MOS intro}}
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-06-05 20:58:15 UTC</tt>.<br>
: The original revision id was <tt>343009302</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>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">This scale, though it belongs to magic and würschmidt temperaments, is functionally identical to a compromise between the meantone/superpyth diatonic and chromatic scales. However, meantone and superpyth chords are slightly more complex and less accurate because 3125/3072, which is nearly 1/41 of the octave, is tempered out instead of 81/80 or 64/63. As a magic scale, it is uneven enough to fall within the region of optimal melodic tunings for magic[13] (L:s = sqrt(6) to 6-sqrt(6)). Because of this property, magic[13] is a good 19 tone mode for people who want to explore new sounds without having to give up using strongly harmonic fifths (3/2 +/- ~cbrt(145/143)) for building consonant chords.


Of course, magic[13] is still slightly improper and würschmidt[13] is almost totally lopsided (L:s = 6:1 to 8:1). Even so, the excellence of magic temperament as a fit for 13 tone per octave melodic scales and its close affinity to strongly harmonic fifth temperaments make up for the roughness of the major third that 13 tone circles favor multiple times over.</pre></div>
Some notable temperaments that form a mos with this pattern are [[magic]] and [[würschmidt]]. Of course, Magic[13] is still slightly improper and Würschmidt[13] is almost totally lopsided (L:s = 6:1 to 8:1). Even so, the excellence of magic temperament as a fit for 13-tone-per-octave melodic scales and its close affinity to strongly harmonic fifth temperaments make up for the roughness of the major third that 13-tone circles favor multiple times over.
<h4>Original HTML content:</h4>
 
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;3L 10s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This scale, though it belongs to magic and würschmidt temperaments, is functionally identical to a compromise between the meantone/superpyth diatonic and chromatic scales. However, meantone and superpyth chords are slightly more complex and less accurate because 3125/3072, which is nearly 1/41 of the octave, is tempered out instead of 81/80 or 64/63. As a magic scale, it is uneven enough to fall within the region of optimal melodic tunings for magic[13] (L:s = sqrt(6) to 6-sqrt(6)). Because of this property, magic[13] is a good 19 tone mode for people who want to explore new sounds without having to give up using strongly harmonic fifths (3/2 +/- ~cbrt(145/143)) for building consonant chords.&lt;br /&gt;
== Scale properties ==
&lt;br /&gt;
{{TAMNAMS use}}
Of course, magic[13] is still slightly improper and würschmidt[13] is almost totally lopsided (L:s = 6:1 to 8:1). Even so, the excellence of magic temperament as a fit for 13 tone per octave melodic scales and its close affinity to strongly harmonic fifth temperaments make up for the roughness of the major third that 13 tone circles favor multiple times over.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
== Scale tree ==
{{MOS tuning spectrum
| 3/2 = [[Sephiroth]]
| 13/8 = Golden sephiroth
| 13/5 = Unnamed golden tuning
| 8/3 = [[Muggles]]
| 10/3 = [[Magic]] / witchcraft
| 7/2 = Magic
| 11/3 = Magic / necromancy
| 9/2 = [[Marveltri]]
| 6/1 = [[Würschmidt]] ↓
}}
 
[[Category:Abstract MOS patterns]]