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Wikispaces>Kosmorsky **Imported revision 242046729 - Original comment: ** |
Wikispaces>guest **Imported revision 243271439 - Original comment: ** |
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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: | : This revision was by author [[User:guest|guest]] and made on <tt>2011-07-28 13:57:06 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>243271439</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 8: | Line 8: | ||
<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">=3L+7s "Fair Mosh" "Modi Sephirotorum"= | <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">=3L+7s "Fair Mosh" "Modi Sephirotorum"= | ||
This MOS can, presumably among other things, represent tempered chains of the 13th harmonic. The region of the spectrum around 23 edo (L=3 s=2) , the 17th and 21st harmonics are tempered toward, together a stable harmony. If L=s, which are multiples of 10edo, the 13th harmonic becomes nearly perfect, 121 edo | This MOS can, presumably among other things, represent tempered chains of the 13th harmonic. The region of the spectrum around 23 edo (L=3 s=2) , the 17th and 21st harmonics are tempered toward, which together are a stable harmony. Furthermore and curiously, 13, 21, and 34 are Fibonacci numbers. If L=s, which are multiples of 10edo, the 13th harmonic becomes nearly perfect, 121 edo seems to be the first to 'accurately' represent the comma (which might as well be represented accurately as it's quite small). Towards the end where the large and small steps are more distinct, well, I'm not sure what else but a flat 13th harmonic it is, but somebody out there might like it; the popular 16-tone is among these. | ||
I have named the modes of this EDO according to the Sephiroth, hence "Modi Sephirotorum". There are probably improper forms, but I haven't explored them yet. | |||
Harmonically, the arrangement forming a chord (degrees 0, 1, 4, 7, 10) is symmetrical - not ascending but descending, reminiscent of ancient Greek practice in that way. These scales, and their truncated heptatonic forms referenced below, are strikingly linear in several ways and so seem suited to a similar outlook as traditional western music (modality, baroque tonality, classical tonality, etc. progressing to today) but with higher harmonics. The author has strong baroque sympathies. | |||
I have named the modes of this EDO according to the Sephiroth, hence "Modi Sephirotorum". There are probably improper forms, but I haven't explored them yet. There's enough undiscovered harmonic resource already in these to last me a while! Taking this approach to the 13th harmonic also yields heptatonic MOS with similar properties [[3L 4s|4s+3L "mish"]] in the form of modes of ssLsLsL "led". | |||
s s s L s s L s s L - Mode Keter | s s s L s s L s s L - Mode Keter | ||
| Line 22: | Line 25: | ||
L s s s L s s L s s - Hod | L s s s L s s L s s - Hod | ||
L=1 s=1 10edo | L=1 s=1 [[10edo]] | ||
L=2 s=1 13edo | L=2 s=1 [[13edo]] | ||
(L=3 s=1 16edo) | (L=3 s=1 [[16edo]]) | ||
L=3 s=2 23edo | L=3 s=2 [[23edo]] | ||
(L=4 s=1 19edo) | (L=4 s=1 [[19edo]]) | ||
L=4 s=3 33edo | L=4 s=3 [[33edo]] | ||
(L=5 s=1 22edo) | (L=5 s=1 [[22edo]]) | ||
(L=5 s=2 29edo) | (L=5 s=2 [[29edo]]) | ||
L=5 s=3 36edo | L=5 s=3 [[36edo]] | ||
L=5 s=4 43edo | L=5 s=4 [[43edo]] | ||
L=6 s= | (L=6 s=1 [[25edo|25edo)]] | ||
L=6 s=5 [[53edo]] | |||
L=7 s=6 63edo | L=7 s=6 [[63edo]] | ||
L=7 s=5 56edo | L=7 s=5 [[56edo]] | ||
L=7 s=4 49edo | L=7 s=4 [[49edo]] | ||
etc.</pre></div> | etc.</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>3L 7s</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x3L+7s &quot;Fair Mosh&quot; &quot;Modi Sephirotorum&quot;"></a><!-- ws:end:WikiTextHeadingRule:0 -->3L+7s &quot;Fair Mosh&quot; &quot;Modi Sephirotorum&quot;</h1> | <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>3L 7s</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x3L+7s &quot;Fair Mosh&quot; &quot;Modi Sephirotorum&quot;"></a><!-- ws:end:WikiTextHeadingRule:0 -->3L+7s &quot;Fair Mosh&quot; &quot;Modi Sephirotorum&quot;</h1> | ||
<br /> | <br /> | ||
This MOS can, presumably among other things, represent tempered chains of the 13th harmonic. The region of the spectrum around 23 edo (L=3 s=2) , the 17th and 21st harmonics are tempered toward, together a stable harmony. If L=s, which are multiples of 10edo, the 13th harmonic becomes nearly perfect, 121 edo | This MOS can, presumably among other things, represent tempered chains of the 13th harmonic. The region of the spectrum around 23 edo (L=3 s=2) , the 17th and 21st harmonics are tempered toward, which together are a stable harmony. Furthermore and curiously, 13, 21, and 34 are Fibonacci numbers. If L=s, which are multiples of 10edo, the 13th harmonic becomes nearly perfect, 121 edo seems to be the first to 'accurately' represent the comma (which might as well be represented accurately as it's quite small). Towards the end where the large and small steps are more distinct, well, I'm not sure what else but a flat 13th harmonic it is, but somebody out there might like it; the popular 16-tone is among these.<br /> | ||
I have named the modes of this EDO according to the Sephiroth, hence &quot;Modi Sephirotorum&quot;. There are probably improper forms, but I haven't explored them yet.<br /> | <br /> | ||
Harmonically, the arrangement forming a chord (degrees 0, 1, 4, 7, 10) is symmetrical - not ascending but descending, reminiscent of ancient Greek practice in that way. These scales, and their truncated heptatonic forms referenced below, are strikingly linear in several ways and so seem suited to a similar outlook as traditional western music (modality, baroque tonality, classical tonality, etc. progressing to today) but with higher harmonics. The author has strong baroque sympathies.<br /> | |||
<br /> | |||
I have named the modes of this EDO according to the Sephiroth, hence &quot;Modi Sephirotorum&quot;. There are probably improper forms, but I haven't explored them yet. There's enough undiscovered harmonic resource already in these to last me a while! Taking this approach to the 13th harmonic also yields heptatonic MOS with similar properties <a class="wiki_link" href="/3L%204s">4s+3L &quot;mish&quot;</a> in the form of modes of ssLsLsL &quot;led&quot;.<br /> | |||
<br /> | <br /> | ||
s s s L s s L s s L - Mode Keter<br /> | s s s L s s L s s L - Mode Keter<br /> | ||
| Line 60: | Line 66: | ||
L s s s L s s L s s - Hod<br /> | L s s s L s s L s s - Hod<br /> | ||
<br /> | <br /> | ||
L=1 s=1 10edo<br /> | L=1 s=1 <a class="wiki_link" href="/10edo">10edo</a><br /> | ||
L=2 s=1 13edo<br /> | L=2 s=1 <a class="wiki_link" href="/13edo">13edo</a><br /> | ||
<br /> | <br /> | ||
(L=3 s=1 16edo)<br /> | (L=3 s=1 <a class="wiki_link" href="/16edo">16edo</a>)<br /> | ||
L=3 s=2 23edo<br /> | L=3 s=2 <a class="wiki_link" href="/23edo">23edo</a><br /> | ||
<br /> | <br /> | ||
(L=4 s=1 19edo)<br /> | (L=4 s=1 <a class="wiki_link" href="/19edo">19edo</a>)<br /> | ||
L=4 s=3 33edo<br /> | L=4 s=3 <a class="wiki_link" href="/33edo">33edo</a><br /> | ||
<br /> | <br /> | ||
(L=5 s=1 22edo)<br /> | (L=5 s=1 <a class="wiki_link" href="/22edo">22edo</a>)<br /> | ||
(L=5 s=2 29edo)<br /> | (L=5 s=2 <a class="wiki_link" href="/29edo">29edo</a>)<br /> | ||
L=5 s=3 36edo<br /> | L=5 s=3 <a class="wiki_link" href="/36edo">36edo</a><br /> | ||
L=5 s=4 43edo<br /> | L=5 s=4 <a class="wiki_link" href="/43edo">43edo</a><br /> | ||
<br /> | <br /> | ||
L=6 s= | (L=6 s=1 <a class="wiki_link" href="/25edo">25edo)</a><br /> | ||
L=6 s=5 <a class="wiki_link" href="/53edo">53edo</a><br /> | |||
<br /> | <br /> | ||
L=7 s=6 63edo<br /> | L=7 s=6 <a class="wiki_link" href="/63edo">63edo</a><br /> | ||
L=7 s=5 56edo<br /> | L=7 s=5 <a class="wiki_link" href="/56edo">56edo</a><br /> | ||
L=7 s=4 49edo<br /> | L=7 s=4 <a class="wiki_link" href="/49edo">49edo</a><br /> | ||
etc.</body></html></pre></div> | etc.</body></html></pre></div> | ||
Revision as of 13:57, 28 July 2011
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author guest and made on 2011-07-28 13:57:06 UTC.
- The original revision id was 243271439.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
=3L+7s "Fair Mosh" "Modi Sephirotorum"= This MOS can, presumably among other things, represent tempered chains of the 13th harmonic. The region of the spectrum around 23 edo (L=3 s=2) , the 17th and 21st harmonics are tempered toward, which together are a stable harmony. Furthermore and curiously, 13, 21, and 34 are Fibonacci numbers. If L=s, which are multiples of 10edo, the 13th harmonic becomes nearly perfect, 121 edo seems to be the first to 'accurately' represent the comma (which might as well be represented accurately as it's quite small). Towards the end where the large and small steps are more distinct, well, I'm not sure what else but a flat 13th harmonic it is, but somebody out there might like it; the popular 16-tone is among these. Harmonically, the arrangement forming a chord (degrees 0, 1, 4, 7, 10) is symmetrical - not ascending but descending, reminiscent of ancient Greek practice in that way. These scales, and their truncated heptatonic forms referenced below, are strikingly linear in several ways and so seem suited to a similar outlook as traditional western music (modality, baroque tonality, classical tonality, etc. progressing to today) but with higher harmonics. The author has strong baroque sympathies. I have named the modes of this EDO according to the Sephiroth, hence "Modi Sephirotorum". There are probably improper forms, but I haven't explored them yet. There's enough undiscovered harmonic resource already in these to last me a while! Taking this approach to the 13th harmonic also yields heptatonic MOS with similar properties [[3L 4s|4s+3L "mish"]] in the form of modes of ssLsLsL "led". s s s L s s L s s L - Mode Keter s s L s s L s s L s - Chesed s L s s L s s L s s - Netzach L s s L s s L s s s - Malkuth s s L s s L s s s L - Binah s L s s L s s s L s - Tiferet L s s L s s s L s s - Yesod s s L s s s L s s L - Chokmah s L s s s L s s L s - Gevurah L s s s L s s L s s - Hod L=1 s=1 [[10edo]] L=2 s=1 [[13edo]] (L=3 s=1 [[16edo]]) L=3 s=2 [[23edo]] (L=4 s=1 [[19edo]]) L=4 s=3 [[33edo]] (L=5 s=1 [[22edo]]) (L=5 s=2 [[29edo]]) L=5 s=3 [[36edo]] L=5 s=4 [[43edo]] (L=6 s=1 [[25edo|25edo)]] L=6 s=5 [[53edo]] L=7 s=6 [[63edo]] L=7 s=5 [[56edo]] L=7 s=4 [[49edo]] etc.
Original HTML content:
<html><head><title>3L 7s</title></head><body><!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x3L+7s "Fair Mosh" "Modi Sephirotorum""></a><!-- ws:end:WikiTextHeadingRule:0 -->3L+7s "Fair Mosh" "Modi Sephirotorum"</h1> <br /> This MOS can, presumably among other things, represent tempered chains of the 13th harmonic. The region of the spectrum around 23 edo (L=3 s=2) , the 17th and 21st harmonics are tempered toward, which together are a stable harmony. Furthermore and curiously, 13, 21, and 34 are Fibonacci numbers. If L=s, which are multiples of 10edo, the 13th harmonic becomes nearly perfect, 121 edo seems to be the first to 'accurately' represent the comma (which might as well be represented accurately as it's quite small). Towards the end where the large and small steps are more distinct, well, I'm not sure what else but a flat 13th harmonic it is, but somebody out there might like it; the popular 16-tone is among these.<br /> <br /> Harmonically, the arrangement forming a chord (degrees 0, 1, 4, 7, 10) is symmetrical - not ascending but descending, reminiscent of ancient Greek practice in that way. These scales, and their truncated heptatonic forms referenced below, are strikingly linear in several ways and so seem suited to a similar outlook as traditional western music (modality, baroque tonality, classical tonality, etc. progressing to today) but with higher harmonics. The author has strong baroque sympathies.<br /> <br /> I have named the modes of this EDO according to the Sephiroth, hence "Modi Sephirotorum". There are probably improper forms, but I haven't explored them yet. There's enough undiscovered harmonic resource already in these to last me a while! Taking this approach to the 13th harmonic also yields heptatonic MOS with similar properties <a class="wiki_link" href="/3L%204s">4s+3L "mish"</a> in the form of modes of ssLsLsL "led".<br /> <br /> s s s L s s L s s L - Mode Keter<br /> s s L s s L s s L s - Chesed<br /> s L s s L s s L s s - Netzach<br /> L s s L s s L s s s - Malkuth<br /> s s L s s L s s s L - Binah<br /> s L s s L s s s L s - Tiferet<br /> L s s L s s s L s s - Yesod<br /> s s L s s s L s s L - Chokmah<br /> s L s s s L s s L s - Gevurah<br /> L s s s L s s L s s - Hod<br /> <br /> L=1 s=1 <a class="wiki_link" href="/10edo">10edo</a><br /> L=2 s=1 <a class="wiki_link" href="/13edo">13edo</a><br /> <br /> (L=3 s=1 <a class="wiki_link" href="/16edo">16edo</a>)<br /> L=3 s=2 <a class="wiki_link" href="/23edo">23edo</a><br /> <br /> (L=4 s=1 <a class="wiki_link" href="/19edo">19edo</a>)<br /> L=4 s=3 <a class="wiki_link" href="/33edo">33edo</a><br /> <br /> (L=5 s=1 <a class="wiki_link" href="/22edo">22edo</a>)<br /> (L=5 s=2 <a class="wiki_link" href="/29edo">29edo</a>)<br /> L=5 s=3 <a class="wiki_link" href="/36edo">36edo</a><br /> L=5 s=4 <a class="wiki_link" href="/43edo">43edo</a><br /> <br /> (L=6 s=1 <a class="wiki_link" href="/25edo">25edo)</a><br /> L=6 s=5 <a class="wiki_link" href="/53edo">53edo</a><br /> <br /> L=7 s=6 <a class="wiki_link" href="/63edo">63edo</a><br /> L=7 s=5 <a class="wiki_link" href="/56edo">56edo</a><br /> L=7 s=4 <a class="wiki_link" href="/49edo">49edo</a><br /> etc.</body></html>