AID - Revision history

BudjarnLambeth at 05:29, 20 October 2024

2024-10-20T05:29:29Z

← Older revision		Revision as of 05:29, 20 October 2024
Line 1:		Line 1:
	{{todo\|inline=1\|cleanup\|comment=If it is deprecated and cannot be updated, then just add the [[~~deprecated~~]] message box to the top of the page and delete this todo notice}}		{{todo\|inline=1\|cleanup\|comment=If it is deprecated and cannot be updated, then just add the [[Template:Deprecated]] message box to the top of the page and delete this todo notice}}

	==Arithmetic irrational divisions==		==Arithmetic irrational divisions==

BudjarnLambeth at 05:29, 20 October 2024

2024-10-20T05:29:11Z

← Older revision		Revision as of 05:29, 20 October 2024
Line 1:		Line 1:
	{{todo\|inline=1\|cleanup}}		{{todo\|inline=1\|cleanup\|comment=If it is deprecated and cannot be updated, then just add the [[deprecated]] message box to the top of the page and delete this todo notice}}

	==Arithmetic irrational divisions==		==Arithmetic irrational divisions==

BudjarnLambeth: Todo

2024-10-20T05:23:58Z

Todo

← Older revision		Revision as of 05:23, 20 October 2024
Line 1:		Line 1:
			{{todo\|inline=1\|cleanup}}

	==Arithmetic irrational divisions==		==Arithmetic irrational divisions==

Line 59:		Line 61:
	[[Category:AID]]		[[Category:AID]]
	[[Category:Shaahin Mohajeri]]		[[Category:Shaahin Mohajeri]]
	~~[[Category:Todo:cleanup]]~~

BudjarnLambeth: Added links to dead end page

2024-01-09T03:59:56Z

Added links to dead end page

← Older revision		Revision as of 03:59, 9 January 2024
Line 22:		Line 22:


	Scales based on AID can be subsets of EDO if:		Scales based on AID can be subsets of [[EDO]] if:
	# we choose d=0 so, A1 = Sn/n .. Consider <u>n</u>=8 and <u>A1</u>=150, then we have 8-EDO .		# we choose d=0 so, A1 = Sn/n .. Consider <u>n</u>=8 and <u>A1</u>=150, then we have [[8edo\|8-EDO]] .
	# for a constant <u>n</u> and different <u>A1</u>, if <u>d</u> and (Sn/A1) are integers, we have a subset of EDO or EDI (Equal divisions of Interval).		# for a constant <u>n</u> and different <u>A1</u>, if <u>d</u> and (Sn/A1) are integers, we have a subset of EDO or [[Equal-step tuning\|EDI (Equal divisions of Interval)]].

	Consider <u>Sn = 1400</u> , <u>n</u>=8 and <u>A1</u>=70, then we have a subset of a 140-ED (1400.) with Degrees as 7 17 30 46 65 87 112 140 :		Consider <u>Sn = 1400</u> , <u>n</u>=8 and <u>A1</u>=70, then we have a subset of a 140-ED (1400.) with Degrees as 7 17 30 46 65 87 112 140 :

ResonantFrequencies: /* Arithmetic irrational divisions */clean up (AWB), typos fixed: , → , (10)

2019-01-12T00:41:23Z

Arithmetic irrational divisions: clean up (AWB), typos fixed: , → , (10)

← Older revision		Revision as of 00:41, 12 January 2019
Line 3:		Line 3:
	For an intervallic system with <u>n</u> divisions, [http://sites.google.com/site/240edo/arithmeticirrationaldivisions%28aid%29 AID] is considered as [http://www.richland.edu/james/lecture/m116/sequences/arithmetic.html arithmetic sequence] with divisions of system as terms of sequence.		For an intervallic system with <u>n</u> divisions, [http://sites.google.com/site/240edo/arithmeticirrationaldivisions%28aid%29 AID] is considered as [http://www.richland.edu/james/lecture/m116/sequences/arithmetic.html arithmetic sequence] with divisions of system as terms of sequence.

	If the first division is <u>A1</u> and the last , <u>An</u> , with common difference of <u>d</u> , we have :		If the first division is <u>A1</u> and the last, <u>An</u> , with common difference of <u>d</u> , we have :
	:: A1 = A1		:: A1 = A1
	:: A2 = A1+d		:: A2 = A1+d
Line 16:		Line 16:

	As we can consider <u>Sn</u> of system to be 1200 cent or anything else (octavic or non-octavic system ) then <u>d</u> is most important to make an AID with n divisions with A1. So, the common difference between divisions is :		As we can consider <u>Sn</u> of system to be 1200 cent or anything else (octavic or non-octavic system ) then <u>d</u> is most important to make an AID with n divisions with A1. So, the common difference between divisions is :
	:: '''d =( <u>2(Sn - nA1))/((n(n-1))</u>'''		:: '''d =( <u>2(Sn - nA1))/(n(n-1))</u>'''

	By considering Sn=1200 , A1=70 , n=12 , d will be 5.454545455 and our 12-tone scale is equal to:		By considering Sn=1200, A1=70, n=12, d will be 5.454545455 and our 12-tone scale is equal to:
	:: '''0.0 70.0 145.455 226.364 312.727 404.545 501.818 604.545 712.727 826.364 945.455 1070.0 1200.0'''		:: '''0.0 70.0 145.455 226.364 312.727 404.545 501.818 604.545 712.727 826.364 945.455 1070.0 1200.0'''


	Scales based on AID can be subsets of EDO if:		Scales based on AID can be subsets of EDO if:
	# we choose d=0 so , A1 = Sn/n .. Consider <u>n</u>=8 and <u>A1</u>=150 , then we have 8-EDO .		# we choose d=0 so, A1 = Sn/n .. Consider <u>n</u>=8 and <u>A1</u>=150, then we have 8-EDO .
	# for a constant <u>n</u> and different <u>A1</u>, if <u>d</u> and (Sn/A1) are integers, we have a subset of EDO or EDI (Equal divisions of Interval).		# for a constant <u>n</u> and different <u>A1</u>, if <u>d</u> and (Sn/A1) are integers, we have a subset of EDO or EDI (Equal divisions of Interval).

	Consider <u>Sn = 1400</u> , <u>n</u>=8 and <u>A1</u>=70 , then we have a subset of a 140-ED (1400.) with Degrees as 7 17 30 46 65 87 112 140 :		Consider <u>Sn = 1400</u> , <u>n</u>=8 and <u>A1</u>=70, then we have a subset of a 140-ED (1400.) with Degrees as 7 17 30 46 65 87 112 140 :
	:: 0.0 70.0 170.0 300.0 460.0 650.0 870.0 1120.0 1400.0		:: 0.0 70.0 170.0 300.0 460.0 650.0 870.0 1120.0 1400.0

Line 35:		Line 35:

	AID system shows different ascending, descending or linear trend of change in divisions sizes due to relation between n and A1 in AID and EDO with equal degree:		AID system shows different ascending, descending or linear trend of change in divisions sizes due to relation between n and A1 in AID and EDO with equal degree:
	* If choosing <u>A1</u> greater than division size in equal degree EDO , <u>d</u> is negative and <u>AID</u> is descending.		* If choosing <u>A1</u> greater than division size in equal degree EDO, <u>d</u> is negative and <u>AID</u> is descending.
	* If choosing <u>A1</u> smaller than division size in equal degree EDO , <u>d</u> is positive and <u>AID</u> is ascending.		* If choosing <u>A1</u> smaller than division size in equal degree EDO, <u>d</u> is positive and <u>AID</u> is ascending.
	* If choosing <u>A1</u> equal to division size in equal degree EDO , <u>d</u> is zero.		* If choosing <u>A1</u> equal to division size in equal degree EDO, <u>d</u> is zero.

	[[file:AIDO-custom-size-298-402.jpg]]		[[file:AIDO-custom-size-298-402.jpg]]
Line 58:		Line 58:

	[[Category:AID]]		[[Category:AID]]
	[[Category:~~Shaahin_Mohajeri~~]]		[[Category:Shaahin Mohajeri]]
	[[Category:~~todo~~:cleanup]]		[[Category:Todo:cleanup]]

Spt3125: external images replaced with local copy; formatting tweaks

2018-09-22T03:56:25Z

external images replaced with local copy; formatting tweaks

Show changes

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>xenwolf: Imported revision 602894478 - Original comment: removed tel links

2016-12-29T11:41:53Z

**Imported revision 602894478 - Original comment: removed tel links**

Wikispaces>x31eq: Imported revision 419047982 - Original comment:

2013-03-31T11:32:20Z

**Imported revision 419047982 - Original comment: **

← Older revision		Revision as of 11:32, 31 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:~~guest~~\|~~guest~~]] and made on <tt>2013-03-31 03:22:51 UTC</tt>.<br>		: This revision was by author [[User:x31eq\|x31eq]] and made on <tt>2013-03-31 11:32:20 UTC</tt>.<br>
	: The original revision id was <tt>~~419015776~~</tt>.<br>		: The original revision id was <tt>419047982</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 35:		Line 35:
	<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-56-then-we-have-700-AID-1400.]]If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> [[tel/28 73 135 214 310\|28 73 135 214 310]] [[tel/423 553 700\|423 553 700]]</span></span>		<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-56-then-we-have-700-AID-1400.]]If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> [[tel/28 73 135 214 310\|28 73 135 214 310]] [[tel/423 553 700\|423 553 700]]</span></span>
	<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-87.5-then-we-have-112-AID-140]]<span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> [[tel/7 16 27 40 55 72 91\|7 16 27 40 55 72 91]] 112</span></span></span>		<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-87.5-then-we-have-112-AID-140]]<span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> [[tel/7 16 27 40 55 72 91\|7 16 27 40 55 72 91]] 112</span></span></span>

	~~[[http://www.h99n.com\|العاب تلبيس عرايس]]~~


Line 88:		Line 86:
	<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:5:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-56-then-we-have-700-AID-1400.&quot; title=&quot;Anchor: TOC-If-A1-56-then-we-have-700-AID-1400.&quot;/&gt; --><a name="TOC-If-A1-56-then-we-have-700-AID-1400."></a><!-- ws:end:WikiTextAnchorRule:5 -->If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> <a class="wiki_link" href="http://tel.wikispaces.com/28%2073%20135%20214%20310">28 73 135 214 310</a> <a class="wiki_link" href="http://tel.wikispaces.com/423%20553%20700">423 553 700</a></span></span><br />		<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:5:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-56-then-we-have-700-AID-1400.&quot; title=&quot;Anchor: TOC-If-A1-56-then-we-have-700-AID-1400.&quot;/&gt; --><a name="TOC-If-A1-56-then-we-have-700-AID-1400."></a><!-- ws:end:WikiTextAnchorRule:5 -->If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> <a class="wiki_link" href="http://tel.wikispaces.com/28%2073%20135%20214%20310">28 73 135 214 310</a> <a class="wiki_link" href="http://tel.wikispaces.com/423%20553%20700">423 553 700</a></span></span><br />
	<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:6:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-87.5-then-we-have-112-AID-140&quot; title=&quot;Anchor: TOC-If-A1-87.5-then-we-have-112-AID-140&quot;/&gt; --><a name="TOC-If-A1-87.5-then-we-have-112-AID-140"></a><!-- ws:end:WikiTextAnchorRule:6 --><span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> <a class="wiki_link" href="http://tel.wikispaces.com/7%2016%2027%2040%2055%2072%2091">7 16 27 40 55 72 91</a> 112</span></span></span><br />		<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:6:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-87.5-then-we-have-112-AID-140&quot; title=&quot;Anchor: TOC-If-A1-87.5-then-we-have-112-AID-140&quot;/&gt; --><a name="TOC-If-A1-87.5-then-we-have-112-AID-140"></a><!-- ws:end:WikiTextAnchorRule:6 --><span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> <a class="wiki_link" href="http://tel.wikispaces.com/7%2016%2027%2040%2055%2072%2091">7 16 27 40 55 72 91</a> 112</span></span></span><br />
	~~<br />~~
	~~<a class="wiki_link_ext" href="http://www.h99n.com" rel="nofollow">العاب تلبيس عرايس</a><br />~~
	<br />		<br />
	<br />		<br />

Wikispaces>guest: Imported revision 419015776 - Original comment:

2013-03-31T03:22:51Z

**Imported revision 419015776 - Original comment: **

← Older revision		Revision as of 11:41, 29 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:~~x31eq~~\|~~x31eq~~]] and made on <tt>~~2013~~-03-31 11:32:20 UTC</tt>.<br>		: This revision was by author [[User:xenwolf\|xenwolf]] and made on <tt>2016-12-29 11:41:53 UTC</tt>.<br>
	: The original revision id was <tt>~~419047982~~</tt>.<br>		: The original revision id was <tt>602894478</tt>.<br>
	: The revision comment was: <tt></tt><br>		: The revision comment was: <tt>removed tel links</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 29:		Line 29:
	<span style="font-family: Tahoma,Geneva,sans-serif;">[[#TOC-0.070.0145.455226.364312.727404.545]] 0.0 70.0 145.455 226.364 312.727 404.545 501.818 604.545 712.727 826.364 945.455 1070.0 1200.0</span>		<span style="font-family: Tahoma,Geneva,sans-serif;">[[#TOC-0.070.0145.455226.364312.727404.545]] 0.0 70.0 145.455 226.364 312.727 404.545 501.818 604.545 712.727 826.364 945.455 1070.0 1200.0</span>
	<span style="color: black; direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 11pt; text-align: left;">Scales based on AID can be subsets of EDO if :</span><span style="direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; margin: 0cm 0cm 0pt; text-align: left;"><span style="color: black; font-size: 10pt;">1- we choose d=0 so ,<span style="color: black; font-size: 11pt;"> A1 = Sn/n</span> .. Consider </span>__<span style="color: black; font-size: 10pt;">n</span>__<span style="color: black; font-size: 10pt;">=8 and </span>__<span style="color: black; font-size: 10pt;">A1</span>__<span style="color: black; font-size: 10pt;">=150 , then we have 8-EDO .</span></span>		<span style="color: black; direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 11pt; text-align: left;">Scales based on AID can be subsets of EDO if :</span><span style="direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; margin: 0cm 0cm 0pt; text-align: left;"><span style="color: black; font-size: 10pt;">1- we choose d=0 so ,<span style="color: black; font-size: 11pt;"> A1 = Sn/n</span> .. Consider </span>__<span style="color: black; font-size: 10pt;">n</span>__<span style="color: black; font-size: 10pt;">=8 and </span>__<span style="color: black; font-size: 10pt;">A1</span>__<span style="color: black; font-size: 10pt;">=150 , then we have 8-EDO .</span></span>
	<span style="direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; margin: 0cm 0cm 0pt; text-align: left;"><span style="color: black; font-size: 10pt;">2- for a constant </span>__<span style="color: black; font-size: 10pt;">n</span>__<span style="color: black; font-size: 10pt;"> and different __A1__, if __d__ and (Sn/A1) are Integer number , we have a susbet of EDO or EDI( Equal divisions of Interval) .Consider __Sn = 1400__ , </span>__<span style="color: black; font-size: 10pt;">n</span>__<span style="color: black; font-size: 10pt;">=8 and </span>__<span style="color: black; font-size: 10pt;">A1</span>__<span style="color: black; font-size: 10pt;">=70 , then we have a subset of a 140-ED(1400.) with Degrees as ~~[[tel/~~7 17 30 46 65 87 112~~\|7 17 30 46 65 87 112]]~~ 140 :</span></span>		<span style="direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; margin: 0cm 0cm 0pt; text-align: left;"><span style="color: black; font-size: 10pt;">2- for a constant </span>__<span style="color: black; font-size: 10pt;">n</span>__<span style="color: black; font-size: 10pt;"> and different __A1__, if __d__ and (Sn/A1) are Integer number , we have a susbet of EDO or EDI( Equal divisions of Interval) .Consider __Sn = 1400__ , </span>__<span style="color: black; font-size: 10pt;">n</span>__<span style="color: black; font-size: 10pt;">=8 and </span>__<span style="color: black; font-size: 10pt;">A1</span>__<span style="color: black; font-size: 10pt;">=70 , then we have a subset of a 140-ED(1400.) with Degrees as 7 17 30 46 65 87 112 140 :</span></span>
	0.000 70.000 170.000 300.000 460.000 650.000 870.000 1120.000 1400.000		0.000 70.000 170.000 300.000 460.000 650.000 870.000 1120.000 1400.000
	<span style="color: #000000; font-family: Tahoma,Geneva,sans-serif;">[[#TOC-And-now-for:]]And now for </span><span style="font-family: Tahoma,Geneva,sans-serif;">Sn=1400 and n=8,</span>		<span style="color: #000000; font-family: Tahoma,Geneva,sans-serif;">[[#TOC-And-now-for:]]And now for </span><span style="font-family: Tahoma,Geneva,sans-serif;">Sn=1400 and n=8,</span>
	<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-175.0-then-we-have-8-AID-1400]]If A1=175.0 then we have 8-AID(1400.)</span>		<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-175.0-then-we-have-8-AID-1400]]If A1=175.0 then we have 8-AID(1400.)</span>
	<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-56-then-we-have-700-AID-1400.]]If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> ~~[[tel/28 73 135 214 310\|~~28 73 135 214 310~~]] [[tel/423 553 700\|~~423 553 700]]</span></span>		<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-56-then-we-have-700-AID-1400.]]If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> 28 73 135 214 310 423 553 700</span></span>
	<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-87.5-then-we-have-112-AID-140]]<span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> ~~[[tel/~~7 16 27 40 55 72 91~~\|7 16 27 40 55 72 91]]~~ 112</span></span></span>		<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-87.5-then-we-have-112-AID-140]]<span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> 7 16 27 40 55 72 91 112</span></span></span>


Line 80:		Line 80:
	<span style="font-family: Tahoma,Geneva,sans-serif;"><!-- ws:start:WikiTextAnchorRule:2:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-0.070.0145.455226.364312.727404.545&quot; title=&quot;Anchor: TOC-0.070.0145.455226.364312.727404.545&quot;/&gt; --><a name="TOC-0.070.0145.455226.364312.727404.545"></a><!-- ws:end:WikiTextAnchorRule:2 --> <strong>0.0 70.0 145.455 226.364 312.727 404.545 501.818 604.545 712.727 826.364 945.455 1070.0 1200.0</strong></span><br />		<span style="font-family: Tahoma,Geneva,sans-serif;"><!-- ws:start:WikiTextAnchorRule:2:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-0.070.0145.455226.364312.727404.545&quot; title=&quot;Anchor: TOC-0.070.0145.455226.364312.727404.545&quot;/&gt; --><a name="TOC-0.070.0145.455226.364312.727404.545"></a><!-- ws:end:WikiTextAnchorRule:2 --> <strong>0.0 70.0 145.455 226.364 312.727 404.545 501.818 604.545 712.727 826.364 945.455 1070.0 1200.0</strong></span><br />
	<span style="color: black; direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 11pt; text-align: left;">Scales based on AID can be subsets of EDO if :</span><span style="direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; margin: 0cm 0cm 0pt; text-align: left;"><span style="color: black; font-size: 10pt;">1- we choose d=0 so ,<span style="color: black; font-size: 11pt;"> A1 = Sn/n</span> .. Consider </span><u><span style="color: black; font-size: 10pt;">n</span></u><span style="color: black; font-size: 10pt;">=8 and </span><u><span style="color: black; font-size: 10pt;">A1</span></u><span style="color: black; font-size: 10pt;">=150 , then we have 8-EDO .</span></span><br />		<span style="color: black; direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 11pt; text-align: left;">Scales based on AID can be subsets of EDO if :</span><span style="direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; margin: 0cm 0cm 0pt; text-align: left;"><span style="color: black; font-size: 10pt;">1- we choose d=0 so ,<span style="color: black; font-size: 11pt;"> A1 = Sn/n</span> .. Consider </span><u><span style="color: black; font-size: 10pt;">n</span></u><span style="color: black; font-size: 10pt;">=8 and </span><u><span style="color: black; font-size: 10pt;">A1</span></u><span style="color: black; font-size: 10pt;">=150 , then we have 8-EDO .</span></span><br />
	<span style="direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; margin: 0cm 0cm 0pt; text-align: left;"><span style="color: black; font-size: 10pt;">2- for a constant </span><u><span style="color: black; font-size: 10pt;">n</span></u><span style="color: black; font-size: 10pt;"> and different <u>A1</u>, if <u>d</u> and (Sn/A1) are Integer number , we have a susbet of EDO or EDI( Equal divisions of Interval) .Consider <u>Sn = 1400</u> , </span><u><span style="color: black; font-size: 10pt;">n</span></u><span style="color: black; font-size: 10pt;">=8 and </span><u><span style="color: black; font-size: 10pt;">A1</span></u><span style="color: black; font-size: 10pt;">=70 , then we have a subset of a 140-ED(1400.) with Degrees as ~~<a class="wiki_link" href="http://tel.wikispaces.com/7%2017%2030%2046%2065%2087%20112">~~7 17 30 46 65 87 112~~</a>~~ 140 :</span></span><br />		<span style="direction: ltr; display: block; font-family: Tahoma,Geneva,sans-serif; margin: 0cm 0cm 0pt; text-align: left;"><span style="color: black; font-size: 10pt;">2- for a constant </span><u><span style="color: black; font-size: 10pt;">n</span></u><span style="color: black; font-size: 10pt;"> and different <u>A1</u>, if <u>d</u> and (Sn/A1) are Integer number , we have a susbet of EDO or EDI( Equal divisions of Interval) .Consider <u>Sn = 1400</u> , </span><u><span style="color: black; font-size: 10pt;">n</span></u><span style="color: black; font-size: 10pt;">=8 and </span><u><span style="color: black; font-size: 10pt;">A1</span></u><span style="color: black; font-size: 10pt;">=70 , then we have a subset of a 140-ED(1400.) with Degrees as 7 17 30 46 65 87 112 140 :</span></span><br />
	<strong>0.000 70.000 170.000 300.000 460.000 650.000 870.000 1120.000 1400.000</strong><br />		<strong>0.000 70.000 170.000 300.000 460.000 650.000 870.000 1120.000 1400.000</strong><br />
	<span style="color: #000000; font-family: Tahoma,Geneva,sans-serif;"><!-- ws:start:WikiTextAnchorRule:3:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-And-now-for:&quot; title=&quot;Anchor: TOC-And-now-for:&quot;/&gt; --><a name="TOC-And-now-for:"></a><!-- ws:end:WikiTextAnchorRule:3 -->And now for </span><span style="font-family: Tahoma,Geneva,sans-serif;">Sn=1400 and n=8,</span><br />		<span style="color: #000000; font-family: Tahoma,Geneva,sans-serif;"><!-- ws:start:WikiTextAnchorRule:3:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-And-now-for:&quot; title=&quot;Anchor: TOC-And-now-for:&quot;/&gt; --><a name="TOC-And-now-for:"></a><!-- ws:end:WikiTextAnchorRule:3 -->And now for </span><span style="font-family: Tahoma,Geneva,sans-serif;">Sn=1400 and n=8,</span><br />
	<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:4:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-175.0-then-we-have-8-AID-1400&quot; title=&quot;Anchor: TOC-If-A1-175.0-then-we-have-8-AID-1400&quot;/&gt; --><a name="TOC-If-A1-175.0-then-we-have-8-AID-1400"></a><!-- ws:end:WikiTextAnchorRule:4 -->If A1=175.0 then we have 8-AID(1400.)</span><br />		<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:4:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-175.0-then-we-have-8-AID-1400&quot; title=&quot;Anchor: TOC-If-A1-175.0-then-we-have-8-AID-1400&quot;/&gt; --><a name="TOC-If-A1-175.0-then-we-have-8-AID-1400"></a><!-- ws:end:WikiTextAnchorRule:4 -->If A1=175.0 then we have 8-AID(1400.)</span><br />
	<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:5:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-56-then-we-have-700-AID-1400.&quot; title=&quot;Anchor: TOC-If-A1-56-then-we-have-700-AID-1400.&quot;/&gt; --><a name="TOC-If-A1-56-then-we-have-700-AID-1400."></a><!-- ws:end:WikiTextAnchorRule:5 -->If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;~~"> <a class="wiki_link" href="http://tel.wikispaces.com/28%2073%20135%20214%20310~~">28 73 135 214 310~~</a> <a class="wiki_link" href="http://tel.wikispaces.com/423%20553%20700">~~423 553 700~~</a>~~</span></span><br />		<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:5:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-56-then-we-have-700-AID-1400.&quot; title=&quot;Anchor: TOC-If-A1-56-then-we-have-700-AID-1400.&quot;/&gt; --><a name="TOC-If-A1-56-then-we-have-700-AID-1400."></a><!-- ws:end:WikiTextAnchorRule:5 -->If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> 28 73 135 214 310 423 553 700</span></span><br />
	<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:6:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-87.5-then-we-have-112-AID-140&quot; title=&quot;Anchor: TOC-If-A1-87.5-then-we-have-112-AID-140&quot;/&gt; --><a name="TOC-If-A1-87.5-then-we-have-112-AID-140"></a><!-- ws:end:WikiTextAnchorRule:6 --><span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;~~"> <a class="wiki_link" href="http://tel.wikispaces.com/7%2016%2027%2040%2055%2072%2091~~">7 16 27 40 55 72 91~~</a>~~ 112</span></span></span><br />		<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:6:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-87.5-then-we-have-112-AID-140&quot; title=&quot;Anchor: TOC-If-A1-87.5-then-we-have-112-AID-140&quot;/&gt; --><a name="TOC-If-A1-87.5-then-we-have-112-AID-140"></a><!-- ws:end:WikiTextAnchorRule:6 --><span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> 7 16 27 40 55 72 91 112</span></span></span><br />
	<br />		<br />
	<br />		<br />

← Older revision		Revision as of 03:22, 31 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:guest\|guest]] and made on <tt>2013-01-~~17 11~~:24:10 UTC</tt>.<br>		: This revision was by author [[User:guest\|guest]] and made on <tt>2013-03-31 03:22:51 UTC</tt>.<br>
	: The original revision id was <tt>~~399237864~~</tt>.<br>		: The original revision id was <tt>419015776</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 35:		Line 35:
	<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-56-then-we-have-700-AID-1400.]]If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> [[tel/28 73 135 214 310\|28 73 135 214 310]] [[tel/423 553 700\|423 553 700]]</span></span>		<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-56-then-we-have-700-AID-1400.]]If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> [[tel/28 73 135 214 310\|28 73 135 214 310]] [[tel/423 553 700\|423 553 700]]</span></span>
	<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-87.5-then-we-have-112-AID-140]]<span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> [[tel/7 16 27 40 55 72 91\|7 16 27 40 55 72 91]] 112</span></span></span>		<span style="font-family: Tahoma,Geneva,sans-serif;"> [[#TOC-If-A1-87.5-then-we-have-112-AID-140]]<span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> [[tel/7 16 27 40 55 72 91\|7 16 27 40 55 72 91]] 112</span></span></span>

			[[http://www.h99n.com\|العاب تلبيس عرايس]]


	<span style="font-family: Tahoma,Geneva,sans-serif;">__AID__ sytem shows different ascending , descending or linear trend of change in divisions sizes due to relation between n and A1 in __AID__<span style="color: black; font-size: 10pt;"> and __EDO__ with equal degree:</span></span>		<span style="font-family: Tahoma,Geneva,sans-serif;">__AID__ sytem shows different ascending , descending or linear trend of change in divisions sizes due to relation between n and A1 in __AID__<span style="color: black; font-size: 10pt;"> and __EDO__ with equal degree:</span></span>
Line 48:		Line 51:
	[[image:http://sites.google.com/site/240edo/AIDO2.jpg align="center"]]		[[image:http://sites.google.com/site/240edo/AIDO2.jpg align="center"]]
	we can have different kinds of AID:		we can have different kinds of AID:
	<span style="display: block; ~~text-align: left;"><span style="~~font-family: Tahoma,Geneva,sans-serif; font-size: 14px;">__<span style="color: #000000; font-family: arial,sans-serif;">AIDO = Arithmetic irrational divisions of octave</span>__~~</span>~~</span>		<span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 14px; text-align: left;">__<span style="color: #000000; font-family: arial,sans-serif;">AIDO = Arithmetic irrational divisions of octave</span>__</span>
	<span style="display: block; ~~text-align: left;"><span style="~~font-family: Tahoma,Geneva,sans-serif; font-size: 14px;">__<span style="color: #000000; font-family: arial,sans-serif;">AIDINO = Arithmetic irrational divisions of irrational non-octave</span>__~~</span>~~</span>		<span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 14px; text-align: left;">__<span style="color: #000000; font-family: arial,sans-serif;">AIDINO = Arithmetic irrational divisions of irrational non-octave</span>__</span>
	<span style="display: block; ~~text-align: left;"><span style="~~font-family: Tahoma,Geneva,sans-serif; font-size: 14px;">__<span style="color: #000000; font-family: arial,sans-serif;">AIDRNO = Arithmetic irrational divisions of rational non-octave</span>__~~</span>~~</span>		<span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 14px; text-align: left;">__<span style="color: #000000; font-family: arial,sans-serif;">AIDRNO = Arithmetic irrational divisions of rational non-octave</span>__</span>
	<span style="display: block; ~~text-align: left;"><span style="~~font-family: Tahoma,Geneva,sans-serif; font-size: 14px;">__<span style="color: #000000; font-family: arial,sans-serif;">AIDRI = Arithmetic irrational divisions of rational interval</span>__~~</span>~~</span>		<span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 14px; text-align: left;">__<span style="color: #000000; font-family: arial,sans-serif;">AIDRI = Arithmetic irrational divisions of rational interval</span>__</span>
	<span style="display: block; ~~text-align: left;"><span style="~~font-family: Tahoma,Geneva,sans-serif; font-size: 14px;">__<span style="color: #000000; font-family: arial,sans-serif;">AIDII = Arithmetic irrational divisions of irrational interval</span>__~~</span>~~</span>		<span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 14px; text-align: left;">__<span style="color: #000000; font-family: arial,sans-serif;">AIDII = Arithmetic irrational divisions of irrational interval</span>__</span>

	<span style="color: #000000; font-family: Tahoma,Geneva,sans-serif; font-size: 12px; text-decoration: none;">[[http://sites.google.com/site/240edo/arithmeticirrationaldivisions%28aid%29\|Example : Baran scale]]</span></pre></div>		<span style="color: #000000; font-family: Tahoma,Geneva,sans-serif; font-size: 12px; text-decoration: none;">[[http://sites.google.com/site/240edo/arithmeticirrationaldivisions%28aid%29\|Example : Baran scale]]</span></pre></div>
Line 85:		Line 88:
	<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:5:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-56-then-we-have-700-AID-1400.&quot; title=&quot;Anchor: TOC-If-A1-56-then-we-have-700-AID-1400.&quot;/&gt; --><a name="TOC-If-A1-56-then-we-have-700-AID-1400."></a><!-- ws:end:WikiTextAnchorRule:5 -->If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> <a class="wiki_link" href="http://tel.wikispaces.com/28%2073%20135%20214%20310">28 73 135 214 310</a> <a class="wiki_link" href="http://tel.wikispaces.com/423%20553%20700">423 553 700</a></span></span><br />		<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:5:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-56-then-we-have-700-AID-1400.&quot; title=&quot;Anchor: TOC-If-A1-56-then-we-have-700-AID-1400.&quot;/&gt; --><a name="TOC-If-A1-56-then-we-have-700-AID-1400."></a><!-- ws:end:WikiTextAnchorRule:5 -->If A1=56 then we have 700-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> <a class="wiki_link" href="http://tel.wikispaces.com/28%2073%20135%20214%20310">28 73 135 214 310</a> <a class="wiki_link" href="http://tel.wikispaces.com/423%20553%20700">423 553 700</a></span></span><br />
	<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:6:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-87.5-then-we-have-112-AID-140&quot; title=&quot;Anchor: TOC-If-A1-87.5-then-we-have-112-AID-140&quot;/&gt; --><a name="TOC-If-A1-87.5-then-we-have-112-AID-140"></a><!-- ws:end:WikiTextAnchorRule:6 --><span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> <a class="wiki_link" href="http://tel.wikispaces.com/7%2016%2027%2040%2055%2072%2091">7 16 27 40 55 72 91</a> 112</span></span></span><br />		<span style="font-family: Tahoma,Geneva,sans-serif;"> <!-- ws:start:WikiTextAnchorRule:6:&lt;img src=&quot;/i/anchor.gif&quot; class=&quot;WikiAnchor&quot; alt=&quot;Anchor&quot; id=&quot;wikitext@@anchor@@TOC-If-A1-87.5-then-we-have-112-AID-140&quot; title=&quot;Anchor: TOC-If-A1-87.5-then-we-have-112-AID-140&quot;/&gt; --><a name="TOC-If-A1-87.5-then-we-have-112-AID-140"></a><!-- ws:end:WikiTextAnchorRule:6 --><span style="color: black; font-size: 10pt;">If A1=87.5 then we have 112-AID(1400.) with Degrees as <span style="color: black; font-size: 10pt;"> <a class="wiki_link" href="http://tel.wikispaces.com/7%2016%2027%2040%2055%2072%2091">7 16 27 40 55 72 91</a> 112</span></span></span><br />
			<br />
			<a class="wiki_link_ext" href="http://www.h99n.com" rel="nofollow">العاب تلبيس عرايس</a><br />
			<br />
	<br />		<br />
	<span style="font-family: Tahoma,Geneva,sans-serif;"><u>AID</u> sytem shows different ascending , descending or linear trend of change in divisions sizes due to relation between n and A1 in <u>AID</u><span style="color: black; font-size: 10pt;"> and <u>EDO</u> with equal degree:</span></span><br />		<span style="font-family: Tahoma,Geneva,sans-serif;"><u>AID</u> sytem shows different ascending , descending or linear trend of change in divisions sizes due to relation between n and A1 in <u>AID</u><span style="color: black; font-size: 10pt;"> and <u>EDO</u> with equal degree:</span></span><br />
Line 93:		Line 99:
	<br />		<br />
	<!-- ws:start:WikiTextRemoteImageRule:16:&lt;div style=&quot;text-align: center&quot;&gt;&lt;img src=&quot;http://sites.google.com/site/240edo/AIDO2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/div&gt; --><div style="text-align: center"><img src="http://sites.google.com/site/240edo/AIDO2.jpg" alt="external image AIDO2.jpg" title="external image AIDO2.jpg" /></div><!-- ws:end:WikiTextRemoteImageRule:16 -->we can have different kinds of AID:<br />		<!-- ws:start:WikiTextRemoteImageRule:16:&lt;div style=&quot;text-align: center&quot;&gt;&lt;img src=&quot;http://sites.google.com/site/240edo/AIDO2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt;&lt;/div&gt; --><div style="text-align: center"><img src="http://sites.google.com/site/240edo/AIDO2.jpg" alt="external image AIDO2.jpg" title="external image AIDO2.jpg" /></div><!-- ws:end:WikiTextRemoteImageRule:16 -->we can have different kinds of AID:<br />
	<span style="display: block; ~~text-align: left;"><span style="~~font-family: Tahoma,Geneva,sans-serif; font-size: 14px;"><u><span style="color: #000000; font-family: arial,sans-serif;">AIDO = Arithmetic irrational divisions of octave</span></u~~></span~~></span><br />		<span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 14px; text-align: left;"><u><span style="color: #000000; font-family: arial,sans-serif;">AIDO = Arithmetic irrational divisions of octave</span></u></span><br />
	<span style="display: block; ~~text-align: left;"><span style="~~font-family: Tahoma,Geneva,sans-serif; font-size: 14px;"><u><span style="color: #000000; font-family: arial,sans-serif;">AIDINO = Arithmetic irrational divisions of irrational non-octave</span></u~~></span~~></span><br />		<span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 14px; text-align: left;"><u><span style="color: #000000; font-family: arial,sans-serif;">AIDINO = Arithmetic irrational divisions of irrational non-octave</span></u></span><br />
	<span style="display: block; ~~text-align: left;"><span style="~~font-family: Tahoma,Geneva,sans-serif; font-size: 14px;"><u><span style="color: #000000; font-family: arial,sans-serif;">AIDRNO = Arithmetic irrational divisions of rational non-octave</span></u~~></span~~></span><br />		<span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 14px; text-align: left;"><u><span style="color: #000000; font-family: arial,sans-serif;">AIDRNO = Arithmetic irrational divisions of rational non-octave</span></u></span><br />
	<span style="display: block; ~~text-align: left;"><span style="~~font-family: Tahoma,Geneva,sans-serif; font-size: 14px;"><u><span style="color: #000000; font-family: arial,sans-serif;">AIDRI = Arithmetic irrational divisions of rational interval</span></u~~></span~~></span><br />		<span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 14px; text-align: left;"><u><span style="color: #000000; font-family: arial,sans-serif;">AIDRI = Arithmetic irrational divisions of rational interval</span></u></span><br />
	<span style="display: block; ~~text-align: left;"><span style="~~font-family: Tahoma,Geneva,sans-serif; font-size: 14px;"><u><span style="color: #000000; font-family: arial,sans-serif;">AIDII = Arithmetic irrational divisions of irrational interval</span></u~~></span~~></span><br />		<span style="display: block; font-family: Tahoma,Geneva,sans-serif; font-size: 14px; text-align: left;"><u><span style="color: #000000; font-family: arial,sans-serif;">AIDII = Arithmetic irrational divisions of irrational interval</span></u></span><br />
	<br />		<br />
	<span style="color: #000000; font-family: Tahoma,Geneva,sans-serif; font-size: 12px; text-decoration: none;"><a class="wiki_link_ext" href="http://sites.google.com/site/240edo/arithmeticirrationaldivisions%28aid%29" rel="nofollow">Example : Baran scale</a></span></body></html></pre></div>		<span style="color: #000000; font-family: Tahoma,Geneva,sans-serif; font-size: 12px; text-decoration: none;"><a class="wiki_link_ext" href="http://sites.google.com/site/240edo/arithmeticirrationaldivisions%28aid%29" rel="nofollow">Example : Baran scale</a></span></body></html></pre></div>

AID - Revision history

BudjarnLambeth at 05:29, 20 October 2024

BudjarnLambeth at 05:29, 20 October 2024

BudjarnLambeth: Todo

BudjarnLambeth: Added links to dead end page

ResonantFrequencies: /* Arithmetic irrational divisions */clean up (AWB), typos fixed: , → , (10)

Spt3125: external images replaced with local copy; formatting tweaks

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>xenwolf: **Imported revision 602894478 - Original comment: removed tel links**

Wikispaces>x31eq: **Imported revision 419047982 - Original comment: **

Wikispaces>guest: **Imported revision 419015776 - Original comment: **

Wikispaces>xenwolf: Imported revision 602894478 - Original comment: removed tel links

Wikispaces>x31eq: Imported revision 419047982 - Original comment:

Wikispaces>guest: Imported revision 419015776 - Original comment: