Ed7: Difference between revisions
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The seventh harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3.9 heptataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with heptatave equivalence, this fact shapes one's musical approach dramatically. | The seventh harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3.9 heptataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with heptatave equivalence, this fact shapes one's musical approach dramatically. | ||
Incidentally, one way to treat 7/1 as an equivalence is to eliminate the primes 2, 3, and 5 and use the 7:11:13:(49) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone Whereas in meantone it takes four [[3/2]] to get to [[5/4]], here it takes seven [[13/7]] to get to [[11/7]] (tempering out the comma 63412811/62748517 in the 7.11.13 subgroup). This temperament yields 10, 13, 16, 19, 22, 25, and 47 note MOS. If 7/1 is too wide to be used as an equivalence, the next best option would be [[Ed11/7|equal divisions of 11/7]]. | Incidentally, one way to treat 7/1 as an equivalence is to eliminate the primes 2, 3, and 5 and use the 7:11:13:(49) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone. Whereas in meantone it takes four [[3/2]] to get to [[5/4]], here it takes seven [[13/7]] to get to [[11/7]] ([[tempering out]] the [[comma]] 63412811/62748517 in the 7.11.13 [[subgroup]]). This temperament yields 10, 13, 16, 19, 22, 25, and 47 note [[MOS]]. If 7/1 is too wide to be used as an equivalence, the next best option would be [[Ed11/7|equal divisions of 11/7]]. | ||
== Table of similar ETs == | == Table of similar ETs == | ||
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| [[94ed7]] || || [[53edt]] || | | [[94ed7]] || || [[53edt]] || | ||
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| [[96ed7]] || || || [[Carlos Gamma]] | | [[96ed7]] || || || [[20edf]] (& [[Carlos Gamma]]) | ||
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| [[98ed7]] || [[35edo]] || || | | [[98ed7]] || [[35edo]] || || | ||
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[[Category:Ed7| ]] <!-- main article --> | ; 200 and above | ||
* [[480ed7]] | |||
[[Category:Ed7's| ]] | |||
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{{todo|inline=1|cleanup|explain edonoi|text=Most people do not think 7/1 sounds like an equivalence, so there must be some other reason why people are dividing it — some property ''other than'' equivalence that makes people want to divide it. Please add to this page an explanation of what that reason is... The page also needs a general overall cleanup.}} | |||