Devadoot - Revision history

FloraC: Review

2024-10-17T15:36:47Z

Review

← Older revision		Revision as of 15:36, 17 October 2024
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	'''Devadoot''' is ~~the name proposed by~~ [[~~Mason Green~~]] ~~for the non-octave-equivalent variant of~~ [[~~Magic~~\|~~magic~~]] ~~temperament that has~~ a period ~~of a flattened major third~~, five of which make a tritave (3:1), and a generator which can equivalently be designated as an octave, a perfect fifth, or a large quarter tone (i. e., an octave minus three periods).		'''Devadoot''' is [[magic]] that uses a flattened [[5/4\|major third]] as a [[period]], five of which make a tritave ([[3/1]]), and a generator which can equivalently be designated as an [[octave]], a [[3/2\|perfect fifth]], or a large quarter tone (i.e., an octave minus three periods). The name was proposed by [[Mason Green]].

	Devadoot is closely related to [[~~41edo\|~~41edo]], which has near-just (slightly sharp) tritaves. If the tritaves of 41edo are compressed to be just, then the octaves will be slightly flat (by less than half a cent). However the difference between these tunings is so small as to be practically negligible.		Devadoot is closely related to [[41edo]], which has near-just (slightly sharp) tritaves. If the tritaves of 41edo are compressed to be just, then the octaves will be slightly flat (by less than half a cent). However the difference between these tunings is so small as to be practically negligible.

	Compared to the ~~standard~~ version of magic, devadoot switches the roles of the generator and period. As such it may be thought of as the magic counterpart of [[~~Angel\|~~angel]] ~~temperament~~, and is named accordingly (Devadoot is the Hindi word for "messenger from God/the gods"; i. e., an angel). The use of a Hindi name is because this scale generates a ~~MOS~~ which is closely related to ~~magic~~[22]. Whereas angel ~~temperament~~ is well-suited to Western common practice music, ~~magic~~[22] and therefore also devadoot may prove useful for Indian music (see also [[~~Magic22_as_srutis~~\|~~magic22~~ as srutis]]).		Compared to the more common version of magic, devadoot switches the roles of the generator and period. As such it may be thought of as the magic counterpart of [[angel]], and is named accordingly (Devadoot is the Hindi word for "messenger from God/the gods"; i.e. an angel). The use of a Hindi name is because this scale generates a [[mos]] which is closely related to Magic[22]. Whereas angel is well-suited to Western common practice music, Magic[22] and therefore also devadoot may prove useful for Indian music (see also [[Magic22 as srutis\|Magic[22] as srutis]]).

	There are 13 steps in a period (i. e., a major third), and the generator is 2 steps. This generates a large number of different ~~MOSes~~, most of which are improper. The smallest proper ~~MOSes~~ are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to ~~magic~~[19] and ~~magic~~[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.		There are 13 steps in a period (i.e. a major third), and the generator is 2 steps. This generates a large number of different mos scales, most of which are improper. The smallest proper mos scales are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to Magic[19] and Magic[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.

	The ~~devadoot~~[7] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the Graham complexity of the entire N-integer-limit chord of nature (rather than just odd ~~limits~~). The Graham complexity of the complete 10-limit otonality is 4; this means that ~~devadoot~~[7] allows for 3 each (up to period equivalency) of the basic "major-like" (otonal) and "minor-like" (utonal) 10-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but ~~doesn't~~ handle 12-integer-limit harmonies as well.		The Devadoot[7] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the [[Graham complexity]] of the entire [[integer limit\|''n''-integer-limit]] [[chord of nature]] (rather than just [[odd limit]]s). The Graham complexity of the complete 10-integer-limit otonality is 4; this means that Devadoot[7] allows for 3 each (up to period equivalency) of the basic "major-like" (otonal) and "minor-like" (utonal) 10-integer-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but does not handle 12-integer-limit harmonies as well.

			Straight-fretted devadoot guitars would be a possibility; they would need to be tuned in {{w\|Major thirds tuning\|all-thirds}} since the period is a major third.

	~~Straight-fretted devadoot guitars would be a possibility; they would need to be tuned in [https://en.wikipedia.org/wiki/Major_thirds_tuning all-thirds] since the period is a major third.~~
	[[Category:41edo]]		[[Category:41edo]]
	[[Category:~~magic~~]]		[[Category:Magic]]

BudjarnLambeth: Add link to Mason Green

2024-01-21T08:04:01Z

Add link to Mason Green

← Older revision		Revision as of 08:04, 21 January 2024
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	'''Devadoot''' is the name proposed by Mason Green for the non-octave-equivalent variant of [[Magic\|magic]] temperament that has a period of a flattened major third, five of which make a tritave (3:1), and a generator which can equivalently be designated as an octave, a perfect fifth, or a large quarter tone (i. e., an octave minus three periods).		'''Devadoot''' is the name proposed by [[Mason Green]] for the non-octave-equivalent variant of [[Magic\|magic]] temperament that has a period of a flattened major third, five of which make a tritave (3:1), and a generator which can equivalently be designated as an octave, a perfect fifth, or a large quarter tone (i. e., an octave minus three periods).

	Devadoot is closely related to [[41edo\|41edo]], which has near-just (slightly sharp) tritaves. If the tritaves of 41edo are compressed to be just, then the octaves will be slightly flat (by less than half a cent). However the difference between these tunings is so small as to be practically negligible.		Devadoot is closely related to [[41edo\|41edo]], which has near-just (slightly sharp) tritaves. If the tritaves of 41edo are compressed to be just, then the octaves will be slightly flat (by less than half a cent). However the difference between these tunings is so small as to be practically negligible.

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		'''Devadoot''' is the name proposed by Mason Green for the non-octave-equivalent variant of [[Magic\|magic]] temperament that has a period of a flattened major third, five of which make a tritave (3:1), and a generator which can equivalently be designated as an octave, a perfect fifth, or a large quarter tone (i. e., an octave minus three periods).
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:MasonGreen1\|MasonGreen1]] and made on <tt>2016-06-17 21:51:32 UTC</tt>.<br>~~
	~~: The original revision id was <tt>585770747</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">Devadoot is the name proposed by Mason Green for the non-octave-equivalent variant of [[magic]] temperament that has a period of a flattened major third, five of which make a tritave (3:1), and a generator which can equivalently be designated as an octave, a perfect fifth, or a large quarter tone (i. e., an octave minus three periods).

	Devadoot is closely related to [[41edo]], which has near-just (slightly sharp) tritaves. If the tritaves of 41edo are compressed to be just, then the octaves will be slightly flat (by less than half a cent). However the difference between these tunings is so small as to be practically negligible.		Devadoot is closely related to [[41edo\|41edo]], which has near-just (slightly sharp) tritaves. If the tritaves of 41edo are compressed to be just, then the octaves will be slightly flat (by less than half a cent). However the difference between these tunings is so small as to be practically negligible.

	Compared to the standard version of magic, devadoot switches the roles of the generator and period. As such it may be thought of as the magic counterpart of [[angel]] temperament, and is named accordingly (Devadoot is the Hindi word for "messenger from God/the gods"; i. e., an angel). The use of a Hindi name is because this scale generates a MOS which is closely related to magic[22]. Whereas angel temperament is well-suited to Western common practice music, magic[22] and therefore also devadoot may prove useful for Indian music (see also [[~~Magic22 as srutis~~\|magic22 as srutis]]).		Compared to the standard version of magic, devadoot switches the roles of the generator and period. As such it may be thought of as the magic counterpart of [[Angel\|angel]] temperament, and is named accordingly (Devadoot is the Hindi word for "messenger from God/the gods"; i. e., an angel). The use of a Hindi name is because this scale generates a MOS which is closely related to magic[22]. Whereas angel temperament is well-suited to Western common practice music, magic[22] and therefore also devadoot may prove useful for Indian music (see also [[Magic22_as_srutis\|magic22 as srutis]]).

	There are 13 steps in a period (i. e., a major third), and the generator is 2 steps. This generates a large number of different MOSes, most of which are improper. The smallest proper MOSes are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to magic[19] and magic[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.		There are 13 steps in a period (i. e., a major third), and the generator is 2 steps. This generates a large number of different MOSes, most of which are improper. The smallest proper MOSes are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to magic[19] and magic[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.
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	The devadoot[7] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the Graham complexity of the entire N-integer-limit chord of nature (rather than just odd limits). The Graham complexity of the complete 10-limit otonality is 4; this means that devadoot[7] allows for 3 each (up to period equivalency) of the basic "major-like" (otonal) and "minor-like" (utonal) 10-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but doesn't handle 12-integer-limit harmonies as well.		The devadoot[7] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the Graham complexity of the entire N-integer-limit chord of nature (rather than just odd limits). The Graham complexity of the complete 10-limit otonality is 4; this means that devadoot[7] allows for 3 each (up to period equivalency) of the basic "major-like" (otonal) and "minor-like" (utonal) 10-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but doesn't handle 12-integer-limit harmonies as well.

	Straight-fretted devadoot guitars would be a possibility; they would need to be tuned in [[https://en.wikipedia.org/wiki/Major_thirds_tuning\|all-thirds]] since the period is a major third.~~</pre></div>~~		Straight-fretted devadoot guitars would be a possibility; they would need to be tuned in [https://en.wikipedia.org/wiki/Major_thirds_tuning all-thirds] since the period is a major third.
	~~<h4>Original HTML content:</h4>~~		[[Category:41edo]]
	<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"><html><head><title>devadoot</title></head><body><strong>Devadoot</strong> is the name proposed by Mason Green for the non-octave-equivalent variant of <a class="wiki_link" href="/magic">magic</a> temperament that has a period of a flattened major third, five of which make a tritave (3:~~1), and a generator which can equivalently be designated as an octave, a perfect fifth, or a large quarter tone (i. e., an octave minus three periods).<br />~~		[[Category:magic]]
	~~<br />~~
	~~Devadoot is closely related to <a class="wiki_link" href="/41edo">~~41edo</a>, which has near-just (slightly sharp) tritaves. If the tritaves of 41edo are compressed to be just, then the octaves will be slightly flat (by less than half a cent). However the difference between these tunings is so small as to be practically negligible.<br />
	~~<br />~~
	Compared to the standard version of magic, devadoot switches the roles of the generator and period. As such it may be thought of as the magic counterpart of <a class="wiki_link" href="/angel">angel</a> temperament, and is named accordingly (Devadoot is the Hindi word for &quot;messenger from God/the gods&quot;; i. e., an angel). The use of a Hindi name is because this scale generates a MOS which is closely related to magic[22]~~. Whereas angel temperament is well-suited to Western common practice music, magic[22~~] ~~and therefore also devadoot may prove useful for Indian music (see also <a class="wiki_link" href="/Magic22%20as%20srutis">magic22 as srutis</a>).<br />~~
	~~<br />~~
	There are 13 steps in a period (i. e., a major third), and the generator is 2 steps. This generates a large number of different MOSes, most of which are improper. The smallest proper MOSes are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to magic[~~19] and~~ magic[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.<br />
	~~<br />~~
	~~The devadoot[7~~] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the Graham complexity of the entire N-integer-limit chord of nature (rather than just odd limits). The Graham complexity of the complete 10-limit otonality is 4; this means that devadoot[7] allows for 3 each (up to period equivalency) of the basic &quot;major-like&quot; (otonal) and &quot;minor-like&quot; (utonal) 10-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but doesn't handle 12-integer-limit harmonies as well.<br />
	~~<br />~~
	Straight-fretted devadoot guitars would be a possibility; they would need to be tuned in <a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/Major_thirds_tuning" rel="nofollow">all-thirds</a> since the period is a major third.</body></html></pre></div>

Wikispaces>MasonGreen1: Imported revision 585770747 - Original comment:

2016-06-17T21:51:32Z

**Imported revision 585770747 - Original comment: **

← Older revision		Revision as of 21:51, 17 June 2016
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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:MasonGreen1\|MasonGreen1]] and made on <tt>2016-06-~~08 01~~:45:29 UTC</tt>.<br>		: This revision was by author [[User:MasonGreen1\|MasonGreen1]] and made on <tt>2016-06-17 21:51:32 UTC</tt>.<br>
	: The original revision id was <tt>~~585002961~~</tt>.<br>		: The original revision id was <tt>585770747</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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	There are 13 steps in a period (i. e., a major third), and the generator is 2 steps. This generates a large number of different MOSes, most of which are improper. The smallest proper MOSes are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to magic[19] and magic[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.		There are 13 steps in a period (i. e., a major third), and the generator is 2 steps. This generates a large number of different MOSes, most of which are improper. The smallest proper MOSes are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to magic[19] and magic[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.

	The devadoot[7] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the Graham complexity of the entire N-integer-limit chord of nature (rather than just odd limits). The Graham complexity of the complete 10-limit otonality is 4; this means that devadoot[7] allows for 3 each (up to period equivalency) of the basic "major-like" (otonal) and "minor-like" (utonal) 10-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but doesn't handle 12-integer-limit harmonies as well.</pre></div>		The devadoot[7] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the Graham complexity of the entire N-integer-limit chord of nature (rather than just odd limits). The Graham complexity of the complete 10-limit otonality is 4; this means that devadoot[7] allows for 3 each (up to period equivalency) of the basic "major-like" (otonal) and "minor-like" (utonal) 10-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but doesn't handle 12-integer-limit harmonies as well.

			Straight-fretted devadoot guitars would be a possibility; they would need to be tuned in [[https://en.wikipedia.org/wiki/Major_thirds_tuning\|all-thirds]] since the period is a major third.</pre></div>
	<h4>Original HTML content:</h4>		<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"><html><head><title>devadoot</title></head><body><strong>Devadoot</strong> is the name proposed by Mason Green for the non-octave-equivalent variant of <a class="wiki_link" href="/magic">magic</a> temperament that has a period of a flattened major third, five of which make a tritave (3:1), and a generator which can equivalently be designated as an octave, a perfect fifth, or a large quarter tone (i. e., an octave minus three periods).<br />		<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"><html><head><title>devadoot</title></head><body><strong>Devadoot</strong> is the name proposed by Mason Green for the non-octave-equivalent variant of <a class="wiki_link" href="/magic">magic</a> temperament that has a period of a flattened major third, five of which make a tritave (3:1), and a generator which can equivalently be designated as an octave, a perfect fifth, or a large quarter tone (i. e., an octave minus three periods).<br />
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	There are 13 steps in a period (i. e., a major third), and the generator is 2 steps. This generates a large number of different MOSes, most of which are improper. The smallest proper MOSes are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to magic[19] and magic[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.<br />		There are 13 steps in a period (i. e., a major third), and the generator is 2 steps. This generates a large number of different MOSes, most of which are improper. The smallest proper MOSes are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to magic[19] and magic[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.<br />
	<br />		<br />
	The devadoot[7] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the Graham complexity of the entire N-integer-limit chord of nature (rather than just odd limits). The Graham complexity of the complete 10-limit otonality is 4; this means that devadoot[7] allows for 3 each (up to period equivalency) of the basic &quot;major-like&quot; (otonal) and &quot;minor-like&quot; (utonal) 10-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but doesn't handle 12-integer-limit harmonies as well.</body></html></pre></div>		The devadoot[7] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the Graham complexity of the entire N-integer-limit chord of nature (rather than just odd limits). The Graham complexity of the complete 10-limit otonality is 4; this means that devadoot[7] allows for 3 each (up to period equivalency) of the basic &quot;major-like&quot; (otonal) and &quot;minor-like&quot; (utonal) 10-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but doesn't handle 12-integer-limit harmonies as well.<br />
			<br />
			Straight-fretted devadoot guitars would be a possibility; they would need to be tuned in <a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/Major_thirds_tuning" rel="nofollow">all-thirds</a> since the period is a major third.</body></html></pre></div>

Wikispaces>MasonGreen1: Imported revision 585002961 - Original comment:

2016-06-08T01:45:29Z

**Imported revision 585002961 - Original comment: **

New page

<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:MasonGreen1|MasonGreen1]] and made on <tt>2016-06-08 01:45:29 UTC</tt>.<br>
: The original revision id was <tt>585002961</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">**Devadoot** is the name proposed by Mason Green for the non-octave-equivalent variant of [[magic]] temperament that has a period of a flattened major third, five of which make a tritave (3:1), and a generator which can equivalently be designated as an octave, a perfect fifth, or a large quarter tone (i. e., an octave minus three periods).

Devadoot is closely related to [[41edo]], which has near-just (slightly sharp) tritaves. If the tritaves of 41edo are compressed to be just, then the octaves will be slightly flat (by less than half a cent). However the difference between these tunings is so small as to be practically negligible.

Compared to the standard version of magic, devadoot switches the roles of the generator and period. As such it may be thought of as the magic counterpart of [[angel]] temperament, and is named accordingly (Devadoot is the Hindi word for "messenger from God/the gods"; i. e., an angel). The use of a Hindi name is because this scale generates a MOS which is closely related to magic[22]. Whereas angel temperament is well-suited to Western common practice music, magic[22] and therefore also devadoot may prove useful for Indian music (see also [[Magic22 as srutis|magic22 as srutis]]).

There are 13 steps in a period (i. e., a major third), and the generator is 2 steps. This generates a large number of different MOSes, most of which are improper. The smallest proper MOSes are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to magic[19] and magic[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.

The devadoot[7] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the Graham complexity of the entire N-integer-limit chord of nature (rather than just odd limits). The Graham complexity of the complete 10-limit otonality is 4; this means that devadoot[7] allows for 3 each (up to period equivalency) of the basic "major-like" (otonal) and "minor-like" (utonal) 10-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but doesn't handle 12-integer-limit harmonies as well.</pre></div>
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<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"><html><head><title>devadoot</title></head><body><strong>Devadoot</strong> is the name proposed by Mason Green for the non-octave-equivalent variant of <a class="wiki_link" href="/magic">magic</a> temperament that has a period of a flattened major third, five of which make a tritave (3:1), and a generator which can equivalently be designated as an octave, a perfect fifth, or a large quarter tone (i. e., an octave minus three periods).<br />
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Devadoot is closely related to <a class="wiki_link" href="/41edo">41edo</a>, which has near-just (slightly sharp) tritaves. If the tritaves of 41edo are compressed to be just, then the octaves will be slightly flat (by less than half a cent). However the difference between these tunings is so small as to be practically negligible.<br />
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Compared to the standard version of magic, devadoot switches the roles of the generator and period. As such it may be thought of as the magic counterpart of <a class="wiki_link" href="/angel">angel</a> temperament, and is named accordingly (Devadoot is the Hindi word for &quot;messenger from God/the gods&quot;; i. e., an angel). The use of a Hindi name is because this scale generates a MOS which is closely related to magic[22]. Whereas angel temperament is well-suited to Western common practice music, magic[22] and therefore also devadoot may prove useful for Indian music (see also <a class="wiki_link" href="/Magic22%20as%20srutis">magic22 as srutis</a>).<br />
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There are 13 steps in a period (i. e., a major third), and the generator is 2 steps. This generates a large number of different MOSes, most of which are improper. The smallest proper MOSes are those with 1, 2, 6, and 7 notes per period. The last two are by far the most interesting, and they are closely related to magic[19] and magic[22] respectively. While they are not octave-repeating, they do have relatively long chains of octaves (five or six of them, respectively) which makes the non-octave-repeating quality less obvious than it otherwise would be.<br />
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The devadoot[7] scale derived from 41edo has step pattern 2 2 2 2 2 2 1 (per period). Since octaves are no longer exactly equivalent, we must evaluate the Graham complexity of the entire N-integer-limit chord of nature (rather than just odd limits). The Graham complexity of the complete 10-limit otonality is 4; this means that devadoot[7] allows for 3 each (up to period equivalency) of the basic &quot;major-like&quot; (otonal) and &quot;minor-like&quot; (utonal) 10-limit chords. Since there are slightly more than three periods in an octave, this actually means that there are around 9 such chords per octave, which allows considerable freedom of modulation. Much like angel, it handles the 10-integer-limit amazingly but doesn't handle 12-integer-limit harmonies as well.</body></html></pre></div>