### New Olympian diacritics

Posted:

**Sun Nov 06, 2016 12:17 am**Many thanks to Xen-Gedankenwelt for helping to get the full set of Sagittal symbols up as "smilies" on this forum.

View more smilies

None of the recently uploaded symbols will be of any interest to those of you using the "mixed" Sagittal notation, as this only requires the single-shaft symbols, and all those recently uploaded were 3-shaft and X-shaft symbols, equivalent to single-shaft symbols added to sharps and double-flats, or subtracted from flats and double-sharps.

But anyone interested in the Olympian (extreme precision) JI notation (mixed or pure), should note the new section at the very end entitled , with four tiny diacritical marks. These are an alternative representation for one or two "minas" up or down. A mina (pronounced meena) is approximately 0.4 cents in size. The mina was first defined as the difference between the primary (or exact) meaning of as the 35-large-diesis (8505/8192), and its secondary (or approximate) meaning as the 13-large-diesis (27/26).

When it was first decided that we should have a diacritical mark to symbolise this difference, and thereby allow an

See the right-hand end of http://sagittal.org/SagittalJI.gif for their ratios.

However this violates the rule that the smallest alteration should be the furthest from the notehead, and allows for left/right confusion. So when Tony Salinas (J.A.Martin Salinas) asked for a way to notate even smaller alterations, for compositions that involved precisely-controlled beating effects, we decided the mina should have a diacritic whose shape and size differed from that of the schisma diacritic, and so could be placed on the

After ridiculous amounts of discussion and testing, George and I agreed (3 years ago) that the new mina diacritics should look like a slanted breve -- something like a miniature version of this symbol without its shaft, and only about half the height of the schisma diacritic. So we now have:

The smiley codes for the four Olympian extension diacritics are:

:n:

:u:

:nn:

:uu:

Their Sagispeak pronunciations are:

mi

mo

bi

bo

mi-ai mo-ao, 1 mina, has a primary role as a 5.7.13-schismina, 4095:4096, 0.422716c

and a secondary role as a 5⁴.7-schismina, 4374:4375, 0.395756c.

bi-ai bo-ao, 2 minas (a bi-mina), has a primary role as a (5.13):(7.11)-schismina, 2079:2080, 0.832524c

and a secondary role as a 13:5³-schismina, 255879:256000, 0.818472c.

View more smilies

None of the recently uploaded symbols will be of any interest to those of you using the "mixed" Sagittal notation, as this only requires the single-shaft symbols, and all those recently uploaded were 3-shaft and X-shaft symbols, equivalent to single-shaft symbols added to sharps and double-flats, or subtracted from flats and double-sharps.

But anyone interested in the Olympian (extreme precision) JI notation (mixed or pure), should note the new section at the very end entitled , with four tiny diacritical marks. These are an alternative representation for one or two "minas" up or down. A mina (pronounced meena) is approximately 0.4 cents in size. The mina was first defined as the difference between the primary (or exact) meaning of as the 35-large-diesis (8505/8192), and its secondary (or approximate) meaning as the 13-large-diesis (27/26).

When it was first decided that we should have a diacritical mark to symbolise this difference, and thereby allow an

*exact*symbol for the 13-large-diesis, it was expedient to simply re-use the grave and acute diacritics that we used on the left for 5-schisma alterations (~2.0 cents), by declaring that if they appeared to the*right*of a symbol they were to be interpreted as mina diacritics (~0.4 cents). So we haveDiesis Symbol Smiley code

35L :(|\:

13L :(|\::':

125L :(|\::.:

7L :.::/|):

625L :.::(|\::.:

See the right-hand end of http://sagittal.org/SagittalJI.gif for their ratios.

However this violates the rule that the smallest alteration should be the furthest from the notehead, and allows for left/right confusion. So when Tony Salinas (J.A.Martin Salinas) asked for a way to notate even smaller alterations, for compositions that involved precisely-controlled beating effects, we decided the mina should have a diacritic whose shape and size differed from that of the schisma diacritic, and so could be placed on the

*left*of a symbol, and to the left of any schisma diacritic. It should also allow for a possible future extension using other diacritic shapes, for alterations in multiples of about 0.14 cents that we call "tinas" -- the mythical Magrathean extension.After ridiculous amounts of discussion and testing, George and I agreed (3 years ago) that the new mina diacritics should look like a slanted breve -- something like a miniature version of this symbol without its shaft, and only about half the height of the schisma diacritic. So we now have:

Diesis Symbol Smiley code

35L :(|\:

13L :n::(|\:

125L :u::(|\:

7L :.::/|):

625L :u::.::(|\:

The smiley codes for the four Olympian extension diacritics are:

:n:

:u:

:nn:

:uu:

Their Sagispeak pronunciations are:

mi

mo

bi

bo

mi-ai mo-ao, 1 mina, has a primary role as a 5.7.13-schismina, 4095:4096, 0.422716c

and a secondary role as a 5⁴.7-schismina, 4374:4375, 0.395756c.

bi-ai bo-ao, 2 minas (a bi-mina), has a primary role as a (5.13):(7.11)-schismina, 2079:2080, 0.832524c

and a secondary role as a 13:5³-schismina, 255879:256000, 0.818472c.