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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 have

Diesis 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.