MOS cradle - Revision history

Sintel: style (gave up after intro)

2025-07-30T18:52:28Z

style (gave up after intro)

← Older revision		Revision as of 18:52, 30 July 2025
Line 1:		Line 1:
	'''MOS ~~Cradle~~''' is a technique of embedding one [[MOS scale]] inside another, to create a new hybrid scale, a '''MOS ~~Cradle~~ scale'''. This method of combining two ~~MoS~~ scales should not be confused with [[Muddle\|Muddles]] or a [[Secondary MOS~~\|Secondary MOSs~~]] although some scales may be able to be constructed both ways.		'''MOS cradle''' is a technique of embedding one [[MOS scale]] inside another, to create a new hybrid scale, a '''MOS cradle scale'''. This method of combining two MOS scales should not be confused with [[Muddle\|Muddles]] or a [[Secondary MOS]] although some scales may be able to be constructed both ways.

	~~I ([[Andrew Heathwaite]]) invite you to experiment & share the results on the page~~ [[MOS ~~Cradle Scales~~]].		Examples of these scales can be found at [[MOS cradle scales]].

	== Introduction ==		== Introduction ==

ArrowHead294: ArrowHead294 moved page MOS Cradle to MOS cradle

2024-12-27T08:57:10Z

ArrowHead294 moved page MOS Cradle to MOS cradle

← Older revision	Revision as of 08:57, 27 December 2024
(No difference)

BudjarnLambeth: Moved from MOS scales to MOS scale

2023-04-28T22:10:10Z

Moved from MOS scales to MOS scale

← Older revision		Revision as of 22:10, 28 April 2023
Line 119:		Line 119:
	<references />		<references />

	[[Category:MOS ~~scales~~]]		[[Category:MOS scale]]

OffsuitKnave at 18:34, 11 September 2022

2022-09-11T18:34:25Z

← Older revision		Revision as of 18:34, 11 September 2022
Line 1:		Line 1:
	'''MOS Cradle''' is a technique of embedding one [[MOS scale]] inside another, to create a new hybrid scale, a '''MOS Cradle scale'''. This method of combining two MoS scales should not be confused with [[Muddle\|Muddles]] or a [[Secondary ~~MoS~~\|Secondary ~~MoSs~~]] although some scales may be able to be constructed both ways.		'''MOS Cradle''' is a technique of embedding one [[MOS scale]] inside another, to create a new hybrid scale, a '''MOS Cradle scale'''. This method of combining two MoS scales should not be confused with [[Muddle\|Muddles]] or a [[Secondary MOS\|Secondary MOSs]] although some scales may be able to be constructed both ways.

	I ([[Andrew Heathwaite]]) invite you to experiment & share the results on the page [[MOS Cradle Scales]].		I ([[Andrew Heathwaite]]) invite you to experiment & share the results on the page [[MOS Cradle Scales]].

OffsuitKnave: Removed inaccurate reference to secondary Mos replaced with links to other pages.

2022-09-11T18:28:36Z

Removed inaccurate reference to secondary Mos replaced with links to other pages.

← Older revision		Revision as of 18:28, 11 September 2022
Line 1:		Line 1:
	'''MOS Cradle''' is a technique of embedding one [[MOS scale]] inside another, to create a new hybrid scale, a '''MOS Cradle scale'''. [[~~Erv Wilson~~]]~~, who coined the term MOS, referred~~ to ~~these types of scales as "secondary MOS"<ref>http://www.anaphoria.com/mos.pdf</ref>~~.		'''MOS Cradle''' is a technique of embedding one [[MOS scale]] inside another, to create a new hybrid scale, a '''MOS Cradle scale'''. This method of combining two MoS scales should not be confused with [[Muddle\|Muddles]] or a [[Secondary MoS\|Secondary MoSs]] although some scales may be able to be constructed both ways.

	I ([[Andrew Heathwaite]]) invite you to experiment & share the results on the page [[MOS Cradle Scales]].		I ([[Andrew Heathwaite]]) invite you to experiment & share the results on the page [[MOS Cradle Scales]].

Fredg999: Cleanup, categories

2022-02-26T03:07:38Z

Cleanup, categories

← Older revision		Revision as of 03:07, 26 February 2022
Line 1:		Line 1:
	=MOS Cradle=		'''MOS Cradle''' is a technique of embedding one [[MOS scale]] inside another, to create a new hybrid scale, a '''MOS Cradle scale'''. [[Erv Wilson]], who coined the term MOS, referred to these types of scales as "secondary MOS"<ref>http://www.anaphoria.com/mos.pdf</ref>.
	~~refers to~~ a technique of embedding one [[~~MOSScales\|~~MOS scale]] inside another, to create a new hybrid scale, a MOS Cradle ~~Scale~~. ~~I (Andrew Heathwaite) invite you~~ to ~~experiment & share the results here~~.

	~~Check out~~ & ~~add to a growing repository of~~ MOS Cradle Scales ~~[[MOS_Cradle_Scales\|here~~]].		I ([[Andrew Heathwaite]]) invite you to experiment & share the results on the page [[MOS Cradle Scales]].

	For this tutorial, I assume basic knowledge of Moment of Symmetry scale design. To summarize, you can design scales by building a chain of one interval (the '''generator''') within a '''period''' of another interval -- often, but not always, the octave. When the resulting set of notes has exactly two step sizes, we call the scale a Moment of Symmetry, or MOS, scale. A prime example: the [[~~Pythagorean_Scale~~\|Pythagorean ~~Scale~~]], built using the octave as the period & the perfect fifth as the generator.		== Introduction ==
			For this tutorial, I assume basic knowledge of Moment of Symmetry scale design. To summarize, you can design scales by building a chain of one interval (the ''generator'') within a ''period'' of another interval -- often, but not always, the octave. When the resulting set of notes has exactly two step sizes, we call the scale a Moment of Symmetry, or MOS, scale. A prime example: the [[Pythagorean tuning\|Pythagorean scale]], built using the octave as the period & the perfect fifth as the generator.

	For this tutorial, I will limit us to MOS scales as subsets of [[~~EDO\|~~edo]]s, because we can easily show the steps as degrees in the superscale. But do keep in mind that you can apply these ideas to [[~~nonoctave\|~~nonoctave]] & [[~~JustIntonation\|~~JI]] scales just as easily & with just as interesting results!		For this tutorial, I will limit us to MOS scales as subsets of [[edo]]s, because we can easily show the steps as degrees in the superscale. But do keep in mind that you can apply these ideas to [[nonoctave]] & [[JI]] scales just as easily & with just as interesting results!

	~~==The "Parent"==~~

			== The parent ==
	We begin with a classic MOS scale. So, just to get us started, we'll use 11/31 of an octave as our generator, & the octave as our period. At five notes, we close on a pentatonic scale, a subset of [[31edo\|31edo]]. Throughout this tutorial, I will show the scales as step degrees of the superscale, like this:		We begin with a classic MOS scale. So, just to get us started, we'll use 11/31 of an octave as our generator, & the octave as our period. At five notes, we close on a pentatonic scale, a subset of [[31edo\|31edo]]. Throughout this tutorial, I will show the scales as step degrees of the superscale, like this:

Line 16:		Line 15:
	A nice little scale. Tune your synth up to it & give it a whirl. The MOS Cradle technique will give us a new way to elaborate on this basic structure. We'll use it as the "parent" scale.		A nice little scale. Tune your synth up to it & give it a whirl. The MOS Cradle technique will give us a new way to elaborate on this basic structure. We'll use it as the "parent" scale.

	==The ~~"Cradle"~~==		== The cradle ==

	Our parent scale has two different step sizes. The large step = L = 9. The small step = s = 2. We will select one of these step sizes to use as a "cradle" for new pitches.		Our parent scale has two different step sizes. The large step = L = 9. The small step = s = 2. We will select one of these step sizes to use as a "cradle" for new pitches.

	===Using L===		=== Using L ===

	Let's use L = 9. We take those 9 degrees & look at ways of making new MOS scales within that, just as we'd do if we wanted MOS scales in [[9edo\|9edo]]. So let's try a few:		Let's use L = 9. We take those 9 degrees & look at ways of making new MOS scales within that, just as we'd do if we wanted MOS scales in [[9edo\|9edo]]. So let's try a few:

Line 65:		Line 62:

	===Using s===		===Using s===

	Let's see what happens if we use s = 2 as the cradle. We have only one way to break down 2:		Let's see what happens if we use s = 2 as the cradle. We have only one way to break down 2:

Line 75:		Line 71:

	===Using both===		===Using both===

	Let's insert 4 5 for 9 & 1 1 for 2:		Let's insert 4 5 for 9 & 1 1 for 2:

	<u>'''4 5'''</u> <u>'''1 1'''</u> <u>'''4 5'''</u> <u>'''1 1'''</u> <u>'''4 5'''</u>		<u>'''4 5'''</u> <u>'''1 1'''</u> <u>'''4 5'''</u> <u>'''1 1'''</u> <u>'''4 5'''</u>

	==Some ~~Observations~~==		==Some observations==

	Using this method, you arrive at new scales which contain the parent scale, plus a few extra notes. You can consider the extra notes "ornamental," secondary to the notes of the parent scale, or you can think of the whole scale as a brand new entity.		Using this method, you arrive at new scales which contain the parent scale, plus a few extra notes. You can consider the extra notes "ornamental," secondary to the notes of the parent scale, or you can think of the whole scale as a brand new entity.

Line 88:		Line 82:
	Sometimes this technique will produce a scale you might have gotten to another way -- like a classic MOS scale.		Sometimes this technique will produce a scale you might have gotten to another way -- like a classic MOS scale.

	==Doubling/~~Tripling~~ the edo==		==Doubling/tripling the edo==

	If you want to use MOS Cradle to elaborate on a scale in a small edo, consider doubling or tripling, etc., the number of notes. Say you want to use the pentatonic scale in [[7edo\|7edo]]:		If you want to use MOS Cradle to elaborate on a scale in a small edo, consider doubling or tripling, etc., the number of notes. Say you want to use the pentatonic scale in [[7edo\|7edo]]:

Line 104:		Line 97:
	<u>'''1 1'''</u> 4 <u>'''1 1'''</u> 4 <u>'''1 1'''</u>		<u>'''1 1'''</u> 4 <u>'''1 1'''</u> 4 <u>'''1 1'''</u>

	==A ~~Cradle~~ in a ~~Cradle~~==		== A cradle in a cradle ==

	One can, of course, perform MOS Cradle on MOS Cradle scales & produce scales w/ four step sizes. Let's start with Swooning Rushes, a subset of [[11edo\|11edo]]:		One can, of course, perform MOS Cradle on MOS Cradle scales & produce scales w/ four step sizes. Let's start with Swooning Rushes, a subset of [[11edo\|11edo]]:

Line 122:		Line 114:
	(This can go on forever, in theory. If we double it again, we might get this scale, a subset of [[44edo\|44edo]]: 6 2 7 5 4 5 7 2 6!)		(This can go on forever, in theory. If we double it again, we might get this scale, a subset of [[44edo\|44edo]]: 6 2 7 5 4 5 7 2 6!)

	Now I think I've given more than enough examples for you to get started on your own! If you discover other neat properties of these scales, feel free to edit this page & add your findings. & when you design lovely new MOS Cradle Scales, do add them to the [[~~MOS_Cradle_Scales~~\|repository]]!		Now I think I've given more than enough examples for you to get started on your own! If you discover other neat properties of these scales, feel free to edit this page & add your findings. & when you design lovely new MOS Cradle Scales, do add them to the [[MOS Cradle Scales\|repository]]!

	= ~~as Secondary MOS~~ =		== References ==
			<references />

	[[~~Erv Wilson~~]]~~, who coined the term MOS, referred to these types of scales as "Secondary MOS"<ref>http://www.anaphoria.com/mos.pdf</ref>.~~		[[Category:MOS scales]]

Cmloegcmluin at 17:16, 9 July 2021

2021-07-09T17:16:25Z

← Older revision		Revision as of 17:16, 9 July 2021
Line 123:		Line 123:

	Now I think I've given more than enough examples for you to get started on your own! If you discover other neat properties of these scales, feel free to edit this page & add your findings. & when you design lovely new MOS Cradle Scales, do add them to the [[MOS_Cradle_Scales\|repository]]!		Now I think I've given more than enough examples for you to get started on your own! If you discover other neat properties of these scales, feel free to edit this page & add your findings. & when you design lovely new MOS Cradle Scales, do add them to the [[MOS_Cradle_Scales\|repository]]!

			= as Secondary MOS =

			[[Erv Wilson]], who coined the term MOS, referred to these types of scales as "Secondary MOS"<ref>http://www.anaphoria.com/mos.pdf</ref>.

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>JosephRuhf: Imported revision 602109430 - Original comment:

2016-12-13T16:51:35Z

**Imported revision 602109430 - Original comment: **

← Older revision		Revision as of 16:51, 13 December 2016
Line 1:		Line 1:
	<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>~~2013~~-03-~~10 23~~:46:39 UTC</tt>.<br>		: This revision was by author [[User:JosephRuhf\|JosephRuhf]] and made on <tt>2016-12-13 16:51:35 UTC</tt>.<br>
	: The original revision id was <tt>~~413713082~~</tt>.<br>		: The original revision id was <tt>602109430</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>
Line 111:		Line 111:
	__3 1__ 6 2 6 __1 3__		__3 1__ 6 2 6 __1 3__

	This new scale, a subset of [[22edo]], has four step sizes (1, 2, 3, 6) & contains both th original MOS & th Cradle Scale Swooning Rushes. Not bad!		This new scale, a subset of [[22edo]], has four step sizes (1, 2, 3, 6) & contains both the original MOS & the Cradle Scale Swooning Rushes. Not bad!

	(This can go on forever, in theory. If we double it again, we might get this scale, a subset of [[44edo]]: 6 2 7 5 4 5 7 2 6!)		(This can go on forever, in theory. If we double it again, we might get this scale, a subset of [[44edo]]: 6 2 7 5 4 5 7 2 6!)
Line 222:		Line 222:
	<u><strong>3 1</strong></u> 6 2 6 <u><strong>1 3</strong></u><br />		<u><strong>3 1</strong></u> 6 2 6 <u><strong>1 3</strong></u><br />
	<br />		<br />
	This new scale, a subset of <a class="wiki_link" href="/22edo">22edo</a>, has four step sizes (1, 2, 3, 6) &amp; contains both th original MOS &amp; th Cradle Scale Swooning Rushes. Not bad!<br />		This new scale, a subset of <a class="wiki_link" href="/22edo">22edo</a>, has four step sizes (1, 2, 3, 6) &amp; contains both the original MOS &amp; the Cradle Scale Swooning Rushes. Not bad!<br />
	<br />		<br />
	(This can go on forever, in theory. If we double it again, we might get this scale, a subset of <a class="wiki_link" href="/44edo">44edo</a>: 6 2 7 5 4 5 7 2 6!)<br />		(This can go on forever, in theory. If we double it again, we might get this scale, a subset of <a class="wiki_link" href="/44edo">44edo</a>: 6 2 7 5 4 5 7 2 6!)<br />
	<br />		<br />
	Now I think I've given more than enough examples for you to get started on your own! If you discover other neat properties of these scales, feel free to edit this page &amp; add your findings. &amp; when you design lovely new MOS Cradle Scales, do add them to the <a class="wiki_link" href="/MOS%20Cradle%20Scales">repository</a>!</body></html></pre></div>		Now I think I've given more than enough examples for you to get started on your own! If you discover other neat properties of these scales, feel free to edit this page &amp; add your findings. &amp; when you design lovely new MOS Cradle Scales, do add them to the <a class="wiki_link" href="/MOS%20Cradle%20Scales">repository</a>!</body></html></pre></div>

Wikispaces>guest: Imported revision 413713082 - Original comment:

2013-03-10T23:46:39Z

**Imported revision 413713082 - Original comment: **

← Older revision		Revision as of 23:46, 10 March 2013
Line 1:		Line 1:
	<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:~~Andrew_Heathwaite~~\|~~Andrew_Heathwaite~~]] and made on <tt>2013-03-10 13:25:10 UTC</tt>.<br>		: This revision was by author [[User:guest\|guest]] and made on <tt>2013-03-10 23:46:39 UTC</tt>.<br>
	: The original revision id was <tt>~~413597300~~</tt>.<br>		: The original revision id was <tt>413713082</tt>.<br>
	: The revision comment was: <tt>~~Reverted to Oct 5, 2008 6:39 pm: spammed!~~</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>
	<h4>Original Wikitext content:</h4>		<h4>Original Wikitext content:</h4>
Line 109:		Line 109:
	& apply MOS Cradle to it:		& apply MOS Cradle to it:

	__3 1__ 6 2 __1 3__		__3 1__ 6 2 6 __1 3__

	This new scale, a subset of [[22edo]], has four step sizes (1, 2, 3, 6) & contains both th original MOS & th Cradle Scale Swooning Rushes. Not bad!		This new scale, a subset of [[22edo]], has four step sizes (1, 2, 3, 6) & contains both th original MOS & th Cradle Scale Swooning Rushes. Not bad!
Line 220:		Line 220:
	&amp; apply MOS Cradle to it:<br />		&amp; apply MOS Cradle to it:<br />
	<br />		<br />
	<u><strong>3 1</strong></u> 6 2 <u><strong>1 3</strong></u><br />		<u><strong>3 1</strong></u> 6 2 6 <u><strong>1 3</strong></u><br />
	<br />		<br />
	This new scale, a subset of <a class="wiki_link" href="/22edo">22edo</a>, has four step sizes (1, 2, 3, 6) &amp; contains both th original MOS &amp; th Cradle Scale Swooning Rushes. Not bad!<br />		This new scale, a subset of <a class="wiki_link" href="/22edo">22edo</a>, has four step sizes (1, 2, 3, 6) &amp; contains both th original MOS &amp; th Cradle Scale Swooning Rushes. Not bad!<br />