3L 7s
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- This revision was by author Kosmorsky and made on 2011-07-19 23:24:05 UTC.
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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, together a stable harmony. If L=s, which are multiples of 10edo, the 13th harmonic becomes nearly perfect, 121 edo being 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 it else but a flat 13th harmonic it is, but somebody out there might like it; the 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. 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=5 53edo (L=6 s=1 25edo) 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, together a stable harmony. If L=s, which are multiples of 10edo, the 13th harmonic becomes nearly perfect, 121 edo being 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 it else but a flat 13th harmonic it is, but somebody out there might like it; the 16-tone is among these.<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.<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 10edo<br /> L=2 s=1 13edo<br /> <br /> (L=3 s=1 16edo)<br /> L=3 s=2 23edo<br /> <br /> (L=4 s=1 19edo)<br /> L=4 s=3 33edo<br /> <br /> (L=5 s=1 22edo)<br /> (L=5 s=2 29edo)<br /> L=5 s=3 36edo<br /> L=5 s=4 43edo<br /> <br /> L=6 s=5 53edo<br /> (L=6 s=1 25edo)<br /> <br /> L=7 s=6 63edo<br /> L=7 s=5 56edo<br /> L=7 s=4 49edo<br /> etc.</body></html>