User:BudjarnLambeth/Over the Hedge: Difference between revisions
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{{Editable user page|Feel free to add examples of music made with this scale, and feel free to add any new scales, approaches or other concepts you develop based on these ideas.}} | |||
{{Infobox AFDO|steps=3746579}} | {{Infobox AFDO|steps=3746579}} | ||
'''[[Overtone scale|Mode 3,746,579 of the harmonic series]]''', also known as '''[[AFDO|3,746,579 afdo]]''' or the '''Over the Hedge scale''' {{idiosyncratic}}, is a 3,746,579-tone octave-repeating subset of the [[harmonic series]]. | '''[[Overtone scale|Mode 3,746,579 of the harmonic series]]''', also known as '''[[AFDO|3,746,579 afdo]]''' or the '''Over the Hedge scale''' {{idiosyncratic}}, is a 3,746,579-tone octave-repeating subset of the [[harmonic series]]. | ||
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The prime factorisation of 3,746,579 is actually 17 x 73 x 3019. This makes the Over the Hedge scale surprisingly interesting from a [[primodality]] perspective, because it contains a very unique set of intervals: millions of available intervals but with no Over-2, -3, -5, -7, -11 or even -13 intervals to be found anywhere. | The prime factorisation of 3,746,579 is actually 17 x 73 x 3019. This makes the Over the Hedge scale surprisingly interesting from a [[primodality]] perspective, because it contains a very unique set of intervals: millions of available intervals but with no Over-2, -3, -5, -7, -11 or even -13 intervals to be found anywhere. | ||
Of course, the sheer number of notes does make the Over the Hedge scale impractical to explore in practice, at least without some way to eliminate most of the intervals and focus on a chosen few | Of course, the sheer number of notes does make the Over the Hedge scale impractical to explore in practice, at least without some way to eliminate most of the intervals and focus on a chosen few. | ||
Or | [[323afdo]] would make much more sense for practical use, being 17 x 19. Or if you want to keep the 73, then [[1241afdo]], which is 17 x 73. | ||
Still, if you're daring and crazy enough to venture over the hedge, well, no one can stop you. 3 million intervals are waiting for you. | Still, if you're daring and crazy enough to venture over the hedge, well, no one can stop you. 3 million intervals are waiting for you. | ||
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[[1241afdo]] and [[3019afdo]] are probably the best combination to use for this polymicrotonal approach, because they have a large but still sane number of notes, they are within the same order of magnitude as each other, and their lowest common multiple is 3,746,579, so they uniquely identify the Over the Hedge scale. | [[1241afdo]] and [[3019afdo]] are probably the best combination to use for this polymicrotonal approach, because they have a large but still sane number of notes, they are within the same order of magnitude as each other, and their lowest common multiple is 3,746,579, so they uniquely identify the Over the Hedge scale. | ||
Algorithmic music is also one possible approach to large scales like Over the Hedge. You could have an algorithm randomly explore the pitch space of the Over the Hedge scale. You could even use sensors to measure the electrical activity of a plant's leaves, and use that to control a modular synthesizer tuned to the Over the Hedge scale: you could have the Over the Hedge scale be played by an ''actual hedge''. | Algorithmic music is also one possible approach to large scales like Over the Hedge. You could have an algorithm randomly explore the pitch space of the Over the Hedge scale. | ||
You could even use sensors to measure the electrical activity of a plant's leaves, and use that to control a modular synthesizer tuned to the Over the Hedge scale: you could have the Over the Hedge scale be played by an ''actual hedge''. | |||
== Scales == | |||
The following scales are designed for use in the Over the Hedge scale. | |||
They were generated using the same base-26 letters process, but putting most letters after the decimal point to keep the numbers small. | |||
Each of these scales should be detempered to 1241afdo on half the instruments/tracks, and 3019afdo on the other half, to create a slight rub between them and imply the larger Over the Hedge tuning | |||
* H.ammy = 8.058486660131 cET (e.g. 8.06c, 16.12c, 24.18c, …) | |||
* H.eather = 8.19494288307244 cET | |||
* O.zzie = 15.0005230034 cET | |||
* R.J = 18.3846154 cET | |||
* S.tella = 19.7773363118885 cET | |||
* T.iger = 20.356832743952 cET | |||
* V.erne = 22.219742393474 cET | |||
Note that the large number of decimal places were included because without them, the last couple letters of the name will be slightly wrong. | |||
=== Comparison === | |||
{{Harmonics in cet|8.058486660131|columns=15|prec=2|title=H.ammy scale}} | |||
{{Harmonics in cet|8.19494288307244|columns=15|prec=2|title=H.eather scale}} | |||
{{Harmonics in cet|18.3846154|columns=15|prec=2|title=R.J scale}} | |||
{{Harmonics in cet|19.7773363118885|columns=15|prec=2|title=S.tella scale}} | |||
{{Harmonics in cet|20.356832743952|columns=15|prec=2|title=T.iger scale}} | |||
{{Harmonics in cet|22.219742393474|columns=15|prec=2|title=V.erne scale}} | |||