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A proposal to simplify the notation of EDOs with bad fifths - Page 4 - The Sagittal forum

A proposal to simplify the notation of EDOs with bad fifths

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Dave Keenan
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Re: A proposal to simplify the notation of EDOs with bad fifths

Postby Dave Keenan » Sat Jul 21, 2018 5:51 pm


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Re: A proposal to simplify the notation of EDOs with bad fifths

Postby Dave Keenan » Mon Jul 23, 2018 3:05 pm


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Re: A proposal to simplify the notation of EDOs with bad fifths

Postby Dave Keenan » Mon Jul 23, 2018 3:52 pm

Here's a diagram you can copy and make changes to (preferably highlighting the changes with some colour). It shows what notation types I think we should give (in sagittal.pdf and sag_et.par) for each EDO from 5 to 72, and the order in which I prefer the types.

We already have all these notations, of all these types, either in sagittal.pdf or earlier in this thread. It only remains for a few of the most recent to be agreed upon. And then we need to agree which is the preferred type of notation for each EDO.

The fact that 66 (709c) must be AF while 27 (711c) must be JB, eliminates any possibility of a simple criterion for when AF is to be preferred over JB—that is if 66 is to have any native-fifth notation at all.

The criterion for when a notation should have a SS notation could be: When it is 1:3:9 inconsistent or has a non-positive apotome or limma. The criterion for when the SS notation is preferred, could be: When it has a negative limma or -2 steps per apotome.

My next task will be to reproduce this diagram, but with the symbols of the preferred notation in place of the list of notation types. I will only give symbols up to the half-apotome because (a) the notation is completely determined by these, (b) it will reduce the freakout-factor, and (c) it will be equally meaningful to those using pure or mixed notations.

[Edit: Changed 44 from "JB=AF>SS" to "JB=AF" as per following post from George.]

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Re: A proposal to simplify the notation of EDOs with bad fifths

Postby Dave Keenan » Mon Jul 23, 2018 5:00 pm

Here is that diagram showing only my preferred notation types, with each type coloured differently.

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Re: A proposal to simplify the notation of EDOs with bad fifths

Postby Dave Keenan » Mon Jul 23, 2018 6:40 pm

Here is the diagram showing my preferred notations for EDOs from 5 to 72, with symbols up to the 1/2-apotome or 3/4-limma.

[Edit: Changed 30, 37 and 44 from :)~|: :/|: :(|\: to :)|: :/|: :(|\: as per a following post from George.]
[Edit: Changed 58 from :/|: :(|(: :/|\: to :/|: :|\: :/|\: as per a following post from me.]

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Re: A proposal to simplify the notation of EDOs with bad fifths

Postby George Secor » Tue Jul 24, 2018 8:08 am


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Re: A proposal to simplify the notation of EDOs with bad fifths

Postby George Secor » Tue Jul 24, 2018 8:41 am


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Re: A proposal to simplify the notation of EDOs with bad fifths

Postby Dave Keenan » Tue Jul 24, 2018 10:21 am


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Re: A proposal to simplify the notation of EDOs with bad fifths

Postby George Secor » Tue Jul 24, 2018 1:21 pm


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Re: A proposal to simplify the notation of EDOs with bad fifths

Postby Dave Keenan » Tue Jul 24, 2018 2:03 pm



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