Ed7: Difference between revisions

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* [[98ed7]] compare [[35edo]]
* [[98ed7]] compare [[35edo]]
* [[99ed7]] compare [[56edt]]
* [[99ed7]] compare [[56edt]]
* [[100ed7]]
* [[101ed7]]


[[Category:Ed7| ]] <!-- main article -->
[[Category:Ed7| ]] <!-- main article -->
[[Category:Equal-step tuning]]
[[Category:Equal-step tuning]]

Revision as of 02:38, 1 October 2024

Ed7 means Division of the Seventh Harmonic (7/1) into n equal parts.

Properties

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 equal divisions of 11/7.

Individual pages for ED7s

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