I have updated https://sagittal.org/sagittal.pdf to correct the errors you found in figures 8 and 9. Thanks @רועיסיני.
I also added a link at the end, that will take the reader to the original published version of this paper, in case it is of historical interest.
Search found 1177 matches
- Wed May 31, 2023 2:43 pm
- Forum: Equal Division notations
- Topic: Weird and missing notations in the pdf
- Replies: 22
- Views: 6822
- Wed May 31, 2023 11:23 am
- Forum: Equal Division notations
- Topic: Weird and missing notations in the pdf
- Replies: 22
- Views: 6822
Re: Weird and missing notations in the pdf
... seems like there are some notations that are not in the par file yet, like the mauve, cyan and yellow range notations , Did you perhaps mean the green , cyan and yellow range notations? The mauve, now called purple, range is complete with 26, 45, 52 and 64 (:/|): = 1/3 and 1/2, :(|\: = 2/3), wh...
- Tue May 30, 2023 11:06 am
- Forum: The lounge
- Topic: Dave's variant of perceptual uniformity of hue
- Replies: 2
- Views: 6847
Re: Dave's variant of perceptual uniformity of hue
Here's a set of 26 maximally distinct RGB colours I devised. https://dkeenan.com/Colour/RgbColourAlphabet.png Unlike those for the periodic table, these have unrestricted lightness, except that they needed to be distinct from both white and black backgrounds. I was able to name these 26 colours so t...
- Mon May 29, 2023 7:54 pm
- Forum: Equal Division notations
- Topic: Weird and missing notations in the pdf
- Replies: 22
- Views: 6822
Re: Weird and missing notations in the pdf
I noticed lately that 130edo's notation in figure 8 on page 16 of the sagittal pdf has a double shaft symbol, :/||:, that is not an apotome complement of the matching single shaft symbol, which in this case is ://|:. That's the only time, except for the limma fraction notation, I've seen an officia...
- Thu May 25, 2023 11:34 pm
- Forum: Notations for other tunings
- Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
- Replies: 27
- Views: 16376
Re: Notation for Fibonacci tuning (Wilson's horogram #22)?
Thanks for the heads-up re Shavout and Sabbath. Interesting re our calendars and time zones. I believe that all 12n-EDOs up to 204edo, and 240edo, have consistent flag arithmetic. It was a Trojan design criterion to maximise this. Yes, but only for single-shaft symbols. Multi-shaft symbols, and more...
- Thu May 25, 2023 8:48 pm
- Forum: Notations for other tunings
- Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
- Replies: 27
- Views: 16376
Re: Notation for Fibonacci tuning (Wilson's horogram #22)?
The Trojan accidentals are not very good at flag arithmetic, ... I believe that all 12n-EDOs up to 204edo, and 240edo, have consistent flag arithmetic. It was a Trojan design criterion to maximise this. Tomorrow I will investigate your ://|: proposal and try again to understand how the 144-MOS does...
- Thu May 25, 2023 1:10 pm
- Forum: Notations for other tunings
- Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
- Replies: 27
- Views: 16376
Re: Notation for Fibonacci tuning (Wilson's horogram #22)?
Because this tuning is so thoroughly divorced from a chain of fifths that it requires 6 up/down pairs of accidentals for just 13 notes, a composer might well choose to use MOS nominals instead of chain-of-fifths nominals. Miller's law says this would have to be based on either the 5-MOS or the 8-MOS...
- Thu May 25, 2023 12:20 pm
- Forum: Notations for other tunings
- Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
- Replies: 27
- Views: 16376
Re: Notation for Fibonacci tuning (Wilson's horogram #22)?
Thanks for your corrections to my proposed 34-MOS notation. In making further suggestions you made a typo where you wrote: "A:b::|\: (or A:!!/:)". That should be A:\!!: . A mnemonic is that the slope of a lone barb never changes in going between evo and revo. This is true for both left and...
- Wed May 24, 2023 10:51 pm
- Forum: Notations for other tunings
- Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
- Replies: 27
- Views: 16376
Re: Notation for Fibonacci tuning (Wilson's horogram #22)?
[I had not read your above post when I posted the following,] I don't know what made you think that I don't like the Trojan capture zones. I did not think you don't like them. But you seemed to allow that they might not be strictly adhered to, when you wrote: However, if you want to just borrow the ...
- Wed May 24, 2023 4:55 pm
- Forum: Notations for other tunings
- Topic: Notation for Fibonacci tuning (Wilson's horogram #22)?
- Replies: 27
- Views: 16376
Re: Notation for Fibonacci tuning (Wilson's horogram #22)?
[I wrote almost all of the following before your above message arrived.] Ah. I see now, that we can't simply notate the 144-note MOS as for 144edo with monotonic (non-crossing) nominals. That results in inconsistent generator counts in some cases. For each 144edo accidental, I have chosen the genera...