36edo: Difference between revisions

Dave Keenan (talk | contribs)
Notation: added Sagittal notation
BudjarnLambeth (talk | contribs)
Theory: mention 101ed7
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36edo also offers a good approximation to the [[acoustic phi|acoustic golden ratio]], as 25\36. [[Heinz Bohlen]] proposed 36edo as a suitable temperament for approximating his 833-cents scale. The 13th harmonic (octave reduced) is so closely mapped on [[acoustic phi]] that 36edo could be treated as a 2.3.7.ϕ.17 temperament.
36edo also offers a good approximation to the [[acoustic phi|acoustic golden ratio]], as 25\36. [[Heinz Bohlen]] proposed 36edo as a suitable temperament for approximating his 833-cents scale. The 13th harmonic (octave reduced) is so closely mapped on [[acoustic phi]] that 36edo could be treated as a 2.3.7.ϕ.17 temperament.
The [[edonoi]] scale [[101ed7]] is almost exactly the same as 36edo. It is 36edo with the [[stretched octave|octave stretched]] by less than 1 cent. Its main usage is to optimise 36edo for use as a [[dual-n|dual-5]] tuning, while also making slight improvements to 3/1 and 7/1 as well. So if one intends to use both 36edo’s vals for 5/1 at once, 101ed7 may be worth considering.


Thanks to its sevenths, 36edo is an ideal tuning for its size for [[metallic harmony]].
Thanks to its sevenths, 36edo is an ideal tuning for its size for [[metallic harmony]].