The Sagittal forum

I noticed that the diagram above has some notations out of place when viewed in some browsers, due to slightly different widths relative to the tabs I used. If the above is messed up in your browser, the following should look better, and vice versa. D:x::\\!::\\!: 141 B:#::\\!::\!: F:x::\\!::\!: 955...

Hi cicada . Welcome to the Sagittal forum. I'm sorry it has taken me so long to respond to this. It was quite a puzzle. I could not find any online resources describing "Hegagonal37", it's purpose or structure. And now that I have analysed it enough to know how it should be notated I am my...

Everyone knows how to mentally check the divisibility of three-digit-or-more decimal integers by 2, 5 or 10, and many people know how to check divisibility by 3 or 9. A year ago, Numberphile gave methods to check for divisibility by integers from 2 to 12. But these methods are so many and varied, it...

Every other note of 26edo is now the recommended Sagittal notation for 13edo. See 13 near the top left of the periodic table: https://sagittal.org/

I made a very minor correction to the Sagittal Xenharmonikôn article at https://sagittal.org/sagittal.pdf. In footnote 20 on page 25 I changed "130-EDO uses the entire 'Spartan' symbol set" to "130-EDO uses almost the entire 'Spartan' symbol set".

Sorry Herman. I somehow missed your previous post until now. The F:\!/: notation does seem simpler, at least in those few bars. But I'd hate for the decision to be forced on you by the lack of a symbol for +11g (175 ¢ when the generator is 125 ¢, i.e. in 48edo). The only suggestion I have for +11g i...

Good to hear from you, Herman. I agree those are valid, except I get -18g, not +11g, for :(|||~: . One different suggestion I have is to use :/|\: for +10g, based on extending the mapping of the 124 to 126 cent generator to ⟨ 0 -4 3 -2 14]. :/|\: is used in 48edo which supports Negri temperament. Th...

A Unicode text version using brackets We don't always have access to MathJax or LaTeX. It would be good to still be able to write James algebra expressions in plain Unicode text in a way that can be mixed with traditional algebra. To do this, we need pairs of brackets that are never or rarely used ...

\def \ex #1{\enclose{top left}{#1} \, } \def \lo #1{\enclose{bottom left}{#1} \, } \def \ph #1{\enclose{phasorangle}{#1} \, } \def \re #1{\enclose{angletop}{#1} \, } \def \no #1{\enclose{top right}{#1} \, } About the enclosure for reciprocal The "angletop" enclosure \re{x} used for recipr...

How to typeset the James algebra expressions The enclosures shown in the preceding post are provided by the <menclose> element of the MathML web standard. They are accessed via the \enclose macro in the MathJax dialect of the LaTeX mathematical typesetting language. MathJax is installed on this for...