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List of 7-prime limit accidentals - The Sagittal forum

List of 7-prime limit accidentals

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Xen-Gedankenwelt
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List of 7-prime limit accidentals

Postby Xen-Gedankenwelt » Wed Nov 02, 2016 1:35 pm

Last edited by Xen-Gedankenwelt on Thu Feb 02, 2017 4:25 am, edited 48 times in total.

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Dave Keenan
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Re: List of 7-prime limit / 6125-odd limit accidentals

Postby Dave Keenan » Wed Nov 02, 2016 5:21 pm

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Sagittal6PixelBitmaps.png
Last edited by Dave Keenan on Sat Nov 05, 2016 12:19 pm, edited 1 time in total.
Reason: Edited to display new 3-shaft and X-shaft Sagittal "smilies".

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Re: List of 7-prime limit / 6125-odd limit accidentals

Postby Dave Keenan » Wed Nov 02, 2016 7:24 pm

Last edited by Dave Keenan on Sat Nov 05, 2016 12:17 pm, edited 1 time in total.
Reason: Edited to display new 3-shaft and X-shaft Sagittal "smilies".

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Xen-Gedankenwelt
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Re: List of 7-prime limit / 6125-odd limit accidentals

Postby Xen-Gedankenwelt » Thu Nov 03, 2016 5:05 am


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Re: List of 7-prime limit / 6125-odd limit accidentals

Postby Dave Keenan » Thu Nov 03, 2016 7:06 pm


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Xen-Gedankenwelt
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Re: List of 7-prime limit / 6125-odd limit accidentals

Postby Xen-Gedankenwelt » Fri Nov 04, 2016 6:38 am


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Re: List of 7-prime limit / 6125-odd limit accidentals

Postby Dave Keenan » Sat Nov 05, 2016 6:04 pm

Xen, Thank you so much for doing that tedious job. I've finally got the rest of the information together and put them up on the forum, tested them and hopefully fixed all my naming and encoding errors. Your work was flawless.

So we finally have the full set of Sagittal symbols available on the forum in all their frightening complexity. ;) . Seriously, 90% of everything anyone will ever want to notate can be done with the first 8 pairs (the single-shaft Spartans). You only need the rest if you want to exactly notate more than 2400 different ratios within an octave (half cent resolution).

If you go back to your earlier posts and make an insignificant edit, such as adding a space to the end of a line, and click "Submit", it will force the smiley codes to be re-evaluated and display the new symbols.

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Re: List of 7-prime limit / 6125-odd limit accidentals

Postby Dave Keenan » Sun Nov 06, 2016 12:44 am

I see you've been updating the list. Good work.

Yes. I badly overstated the difference between commatic and chromatic commas. Most of the same ratios turn up in both applications. The only difference is in their popularity or usefulness rankings in each application.

I note that one of the criteria for a good choice of accidental for a MOS chroma is that its tempered size should not be too different from its untempered size.

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Xen-Gedankenwelt
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Re: List of 7-prime limit / 6125-odd limit accidentals

Postby Xen-Gedankenwelt » Sun Nov 13, 2016 12:06 pm

Sorry for the late reply! I reread sagittal.pdf and your replies to make sure I understand enough about Sagittal notation with Olympian precision. I think I'm now more or less equal to the task of completing the list of 7-limit accidentals with Olympian precision.

But I have a question:
I know there are some abbreviations for comma size classes, i.e. n, s, k, C, S, M, L for schismina, schisma, kleisma and so on. For example, 5C means 5-comma.
Are there also official abbreviations for the small-semitone, limma and large-semitone class, and the apotome alterations?

P.S.: Instead of [-84 54>/2 and [-3 -2>/2, you probably meant [-84 53>/2 and [-3 2>/2, right?

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Re: List of 7-prime limit / 6125-odd limit accidentals

Postby Dave Keenan » Sun Nov 13, 2016 1:46 pm



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