Dreyblatt tuning system - Revision history

BudjarnLambeth at 05:20, 9 January 2024

2024-01-09T05:20:53Z

← Older revision		Revision as of 05:20, 9 January 2024
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	from Arnold Dreyblatt: ''Tuning Systems Explanation'', http://www.dreyblatt.net/general-information-music#/tuning-system/		from [[Arnold Dreyblatt]]: ''Tuning Systems Explanation'', http://www.dreyblatt.net/general-information-music#/tuning-system/

	The ''Dreyblatt Tuning System'' is calculated from the third, fifth, seventh, ninth and eleventh [[harmonic]]s and their multiples in the following pattern:		The ''Dreyblatt Tuning System'' is calculated from the third, fifth, seventh, ninth and eleventh [[harmonic]]s and their multiples in the following pattern:

BudjarnLambeth: Added links to dead end page

2024-01-09T05:20:37Z

Added links to dead end page

← Older revision		Revision as of 05:20, 9 January 2024
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	from Arnold Dreyblatt: ''Tuning Systems Explanation'', http://www.dreyblatt.net/general-information-music#/tuning-system/		from Arnold Dreyblatt: ''Tuning Systems Explanation'', http://www.dreyblatt.net/general-information-music#/tuning-system/

	The ''Dreyblatt Tuning System'' is calculated from the third, fifth, seventh, ninth and eleventh ~~harmonics~~ and their multiples in the following pattern:		The ''Dreyblatt Tuning System'' is calculated from the third, fifth, seventh, ninth and eleventh [[harmonic]]s and their multiples in the following pattern:

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	These mathematically related harmonics are heard as tonal relationships when they are transposed and sounded above a fundamental tone. In this process of transposition from their position in the natural harmonic series, these tones fall (unequally) in the span of one octave in the following order:		These mathematically related harmonics are heard as tonal relationships when they are transposed and sounded above a fundamental tone. In this process of transposition from their position in the natural harmonic series, these tones fall (unequally) in the span of one [[octave]] in the following order:

	1, 33, 35, 9, 77, 5, 81, 21, [11,] 45, 3, 49, 99, 25, 27, 55, 7, 15, 121, 63, (2)		1, 33, 35, 9, 77, 5, 81, 21, [11,] 45, 3, 49, 99, 25, 27, 55, 7, 15, 121, 63, (2)

	These tones are performed in "just intonation' based on a fundamental tone of "F".		These tones are performed in "[[just intonation]]' based on a fundamental tone of "F".

	{\| class="wikitable"		{\| class="wikitable"

Fredg999: Categories

2022-02-06T05:22:43Z

Wolftune: fixed erroneous use of "overtone" vs "harmonic"

2022-01-22T20:32:10Z

fixed erroneous use of "overtone" vs "harmonic"

← Older revision		Revision as of 20:32, 22 January 2022
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	from Arnold Dreyblatt: ''Tuning Systems Explanation'', http://www.dreyblatt.net/general-information-music#/tuning-system/		from Arnold Dreyblatt: ''Tuning Systems Explanation'', http://www.dreyblatt.net/general-information-music#/tuning-system/

	The ''Dreyblatt Tuning System'' is calculated from the third, fifth, seventh, ninth and eleventh ~~overtones~~ and their multiples in the following pattern:		The ''Dreyblatt Tuning System'' is calculated from the third, fifth, seventh, ninth and eleventh harmonics and their multiples in the following pattern:

	{\| class="wikitable"		{\| class="wikitable"
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	\|}		\|}

	These mathematically related ~~overtones~~ are heard as tonal relationships when they are transposed and sounded above a fundamental tone. In this process of transposition from their position in the natural ~~overtone~~ series, these tones fall (unequally) in the span of one octave in the following order:		These mathematically related harmonics are heard as tonal relationships when they are transposed and sounded above a fundamental tone. In this process of transposition from their position in the natural harmonic series, these tones fall (unequally) in the span of one octave in the following order:

	1, 33, 35, 9, 77, 5, 81, 21, [11,] 45, 3, 49, 99, 25, 27, 55, 7, 15, 121, 63, (2)		1, 33, 35, 9, 77, 5, 81, 21, [11,] 45, 3, 49, 99, 25, 27, 55, 7, 15, 121, 63, (2)

Spt3125: updated link, removed todo:rename

2018-11-30T02:44:08Z

updated link, removed todo:rename

← Older revision		Revision as of 02:44, 30 November 2018
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	from Arnold Dreyblatt: ''Tuning Systems Explanation'', [http://www.dreyblatt.net/~~html/~~music~~.php?id=67 www.dreyblatt.net~~/~~html~~/~~music.php?id=67]~~		from Arnold Dreyblatt: ''Tuning Systems Explanation'', http://www.dreyblatt.net/general-information-music#/tuning-system/

	The ''Dreyblatt Tuning System'' is calculated from the third, fifth, seventh, ninth and eleventh overtones and their multiples in the following pattern:		The ''Dreyblatt Tuning System'' is calculated from the third, fifth, seventh, ninth and eleventh overtones and their multiples in the following pattern:
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	~~[[Category:todo:rename]]~~

Spt3125: Spt3125 moved page Arnold Dreyblatt to Dreyblatt tuning system without leaving a redirect

2018-11-30T02:36:39Z

Spt3125 moved page Arnold Dreyblatt to Dreyblatt tuning system without leaving a redirect

← Older revision	Revision as of 02:36, 30 November 2018
(No difference)

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>xenjacob: Imported revision 7975019 - Original comment:

2007-09-14T13:51:07Z

**Imported revision 7975019 - Original comment: **

Show changes

Wikispaces>guest: Imported revision 2696984 - Original comment:

2007-02-07T21:44:59Z

**Imported revision 2696984 - Original comment: **

← Older revision		Revision as of 21:44, 7 February 2007
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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:~~zenjacob~~\|~~zenjacob~~]] and made on <tt>~~2006~~-10-~~06 02~~:55:59 UTC</tt>.<br>		: This revision was by author [[User:guest\|guest]] and made on <tt>2007-02-07 21:44:59 UTC</tt>.<br>
	: The original revision id was <tt>~~1371069~~</tt>.<br>		: The original revision id was <tt>2696984</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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	49/32		49/32
	99/64		99/64
	25/32		25/16
	27/16		27/16
	55/32		55/32
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	49/32<br />		49/32<br />
	99/64<br />		99/64<br />
	25/32<br />		25/16<br />
	27/16<br />		27/16<br />
	55/32<br />		55/32<br />

Wikispaces>zenjacob: Imported revision 1371069 - Original comment:

2006-10-06T02:55:59Z

**Imported revision 1371069 - 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: 
: This revision was by author [[User:zenjacob|zenjacob]] and made on <tt>2006-10-06 02:55:59 UTC</tt>. 
: The original revision id was <tt>1371069</tt>. 
: The revision comment was: <tt></tt> 
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it. 
<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">(from [[http://www.dreyblatt.net/html/music.php?id=67|Arnold Dreyblatt's website]])

//The tuning system used in my music is calculated from the third, fifth, seventh, ninth and eleventh overtones and their multiples in the following pattern://

//1 3 5 7 9 11//
//3 9 15 21 27 33//
//5 15 25 35 45 55//
//7 21 35 49 63 77//
//9 27 45 63 81 99//
//11 33 55 77 99 121//

//These mathematically related overones are heard as a tonal relation when they are transposed and sounded above a fundamental tone. In this process of transposition from their position in the natural overtone series, these tones fall in the span of one octave in the following//
//order: 1, 33, 35, 9, 77, 5, 81, 21, [11,] 45, 3, 49, 99, 25, 27, 55, 7, 15, 121, 63, (2)//

As ratios:
1/1
33/32
35/32
9/8
77/64
5/4
81/64
21/16
11/8
45/32
3/2
49/32
99/64
25/32
27/16
55/32
7/4
15/8
121/64
63/32
2/1</pre></div>
<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>Arnold Dreyblatt</title></head><body>(from <a class="wiki_link_ext" href="http://www.dreyblatt.net/html/music.php?id=67" rel="nofollow">Arnold Dreyblatt's website</a>) 
 
The tuning system used in my music is calculated from the third, fifth, seventh, ninth and eleventh overtones and their multiples in the following pattern: 
 
1 3 5 7 9 11 
3 9 15 21 27 33 
5 15 25 35 45 55 
7 21 35 49 63 77 
9 27 45 63 81 99 
11 33 55 77 99 121 
 
These mathematically related overones are heard as a tonal relation when they are transposed and sounded above a fundamental tone. In this process of transposition from their position in the natural overtone series, these tones fall in the span of one octave in the following 
order: 1, 33, 35, 9, 77, 5, 81, 21, [11,] 45, 3, 49, 99, 25, 27, 55, 7, 15, 121, 63, (2) 
 
As ratios: 
1/1 
33/32 
35/32 
9/8 
77/64 
5/4 
81/64 
21/16 
11/8 
45/32 
3/2 
49/32 
99/64 
25/32 
27/16 
55/32 
7/4 
15/8 
121/64 
63/32 
2/1</body></html></pre></div>

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			[[Category:Just intonation]]
			[[Category:11-limit]]