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 had
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 :`::(|\: 125L :,::(|\: 7L :.::/|): 625L :,::.::(|\:
The smiley codes for the four Olympian extension diacritics use the back-quote (up) and the comma (down):
Their Sagispeak pronunciations are:
[Edit: Thanks to cmloegcmluin for this updated version of the following paragraphs, as discussed here.]
As a symbol, mai mao, the mina's primary role is the 5.7.13-schismina, 4095:4096, 0.423c, and it has a capture zone spanning from 0.211 to 0.773c (from 1.5 to 5.5 steps of 809EDA). Secondary roles within this capture zone include the 5⁴.7-schismina, 4374:4375, 0.396c. As a diacritic component of other symbols ( mi- mo- ) the mina changes the primary role of the core symbol by one of these two commas, or another comma of a similar size.
Similarly, mimai momao, the 2 mina symbol, has a primary role as a (5.13):(7.11)-schismina, 2079:2080, 0.833c, and it has a capture zone spanning from 0.773 to 1.194c (from 5.5 to 8.5 steps of 809EDA). Secondary roles within this capture zone include the 13:5³-schismina, 255879:256000, 0.818c. As a diacritic component of other symbols ( mimi- momo- ) the double mina changes the primary role of the core symbol by one of these two commas, or another comma of a similar size.