- Sat Apr 22, 2017 4:37 pm
- Forum: Equal Division notations
- Topic: 581EDO
- Replies:
**17** - Views:
**1711**

Since there are 6 symbols, there are 2⁶ subsets, and we can enumerate them as a binary count. The right-hand column indicates at least one condition that the subset violates. ">3" = gap wider than 3 degrees. "~|" = incompatible left boathook values. "<->" size order rev...

- Sat Apr 22, 2017 3:50 pm
- Forum: Equal Division notations
- Topic: 581EDO
- Replies:
**17** - Views:
**1711**

Of course we should use the lowest prime symbols for degrees 2 and 11. I only included the 19s and 19C symbols so you'd know I hadn't forgotten them, and that there really are no unaccented symbols that map to 3 or 10 degrees. But the left scroll must still have the value 2 since we want :/|\: = 26 ...

- Sat Apr 22, 2017 1:13 pm
- Forum: Equal Division notations
- Topic: 581EDO
- Replies:
**17** - Views:
**1711**

So it all comes down to finding sufficient unaccented symbols between 2 and 11 degrees, without any size-order reversals, and with consistent flag arithmetic. We can have gaps of at most 3 degrees between unaccented symbols. Here are all the options. Size order reversals are indicated by "<->&q...

- Sat Apr 22, 2017 11:59 am
- Forum: Equal Division notations
- Topic: 581EDO
- Replies:
**17** - Views:
**1711**

I believe there was a typo for 6°581, which should be :.::|~:. I have corrected this, and added mixed-sagittal below. I have also checked that your double-shaft symbols correctly match the mixed sagittal, as per figure 13 on page 24 of http://sagittal.org/sagittal.pdf . The remaining problems with t...

- Fri Apr 21, 2017 1:38 pm
- Forum: Equal Division notations
- Topic: 581EDO
- Replies:
**17** - Views:
**1711**

Thanks George. I think that's a major improvement. Here it is numbered: :'::|: :|(: :.::)|(: :)|(: :'::)|(: :.::~|: :|~: :~|(: :'::~|(: :.::/|: :/|: :.::|): :|): :.::|\: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 :|\: :.::(|: :(|: :/|~: :(|&#...

- Thu Apr 20, 2017 10:12 am
- Forum: Equal Division notations
- Topic: 581EDO
- Replies:
**17** - Views:
**1711**

Here's George's proposal in a form that makes it easier to evaluate flag and shaft arithmetic, and apotome complements. :'::|: :|(: :'::)|: :)|(: :~|: :)~|: :|~: :~|(: :~~|: :.::)|~: :/|: :.::)/|: :|): :.::)|): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 :|\:...

- Thu Apr 20, 2017 12:59 am
- Forum: Equal Division notations
- Topic: 581EDO
- Replies:
**17** - Views:
**1711**

That's quite a tour de force, George. I don't doubt that it is valid, however I find it unsatisfying. Of course it's easy to criticise, and much harder to come up with an alternative. It's unsatisfying that there is no regularity that might reduce the amount of information that needs to be remembere...

- Sat Apr 15, 2017 6:57 pm
- Forum: Equal Division notations
- Topic: 581EDO
- Replies:
**17** - Views:
**1711**

It seems wrong to me, for 581-EDO notation to use schismina accents. 612 and 624-EDO notations don't need them. However it seems unavoidable that 581 will need to use _some_ kind of accents. I believe 494-EDO is the largest that we can notate without accents. As with 612 and 624, I think we should u...

- Sat Apr 15, 2017 11:45 am
- Forum: Equal Division notations
- Topic: A proposal to simplify the notation of EDOs with bad fifths
- Replies:
**19** - Views:
**2364**

Here's a summary of the final version of this proposal, that George and I agree on. For EDOs where the best fifth is more than 7.5 cents wider than just: Symbol Pronunciation Apotome fractions represented Comments :)|: rai 1/10, 1/9, 1/8, 1/7 :)~|: slai 1/6, 1/5, 2/9, 1/4 :/|: pai 2/7, 3/1...

- Sat Apr 15, 2017 10:50 am
- Forum: Equal Division notations
- Topic: Limma fraction and apotome fraction accidentals
- Replies:
**15** - Views:
**1946**

This proposal has been superceded by the proposal in this thread:

http://forum.sagittal.org/viewtopic.php?f=5&t=256

http://forum.sagittal.org/viewtopic.php?f=5&t=256