It looks like it's about time for another discussion on applying Sagittal notation to regular temperaments. There are various factors involved in deciding how...
An alternative to a chain of fifths notation for ET's that don't have good fifths, while still using Sagittal notation, is to notate only intervals without...
... What's an accent? ... I don't really care about this. The goal is for the minimum number of symbols with a consistent range. Ideally all from the Spartan...
... A mark added to the left or right side of the Sagittal symbol. On the left, it represents a schisma, and the optional right-hand accent mark represents an...
Mavila has a chain of fifths outside the usual range of Sagittal notation, smaller than the fifths of 7-ET. The fifths are so small that major and minor thirds...
... Okay. It may be a good idea to use them, but no need to minimize them. ... They don't have to be equally spaced but the natural scale should at least be...
... Pajara[10], lemba[10], decimal[10], and supersharp[10] are strictly proper. Injera[10] and doublewide[10] are not proper, but they are Constant Structures....
A possible Sagittal notation for pajara[22]. +----------------------------------------------+ ... +----------------------------------------------+ The half...
... What I'm getting at is: how many different staves would a musician have to learn to get the mainstream temperament classes? 7 note diatonics are obviously...
... Depends on what you consider "mainstream temperament classes". As a first approximation, I assume that would be some subset of the 5-limit and 7-limit...
... Mainstream temperament classes are whatever musicians who worked with different temperament classes would be expected to know. Which temperament classes...
... Why do we have to guess either? ... Important to what? ... That's true, but in exchange for that I'd say you get novelty. Listening back over things -- at...
... I see that I have an illustration of my lemba notation, which I rarely used, so this is probably the only fully notated example. I never got used to the...
... Because we're designing a general system of notation for regular temperaments. ... Choosing the nominals. The closer the nominal scale is to an equal...
... What does what they'll use have to do with that design? Accident and fate, and if we're lucky a bit of merit, will decide what they use. So let's design...
Here are my thoughts on notating magic with 9 nominals. The basis is an augmented triad. In magic, that's an MOS. In any temperament that tempers out 225:224...
... ("they" being "the mainstream temperament classes" - HM) ... I've noticed something about the "good" temperaments. They tend to have many different...
... A sharp notates the difference between a 5-limit major and minor third in meantone. In that sense using the symbol for a 25:24 gives the correct harmonic...
... How do we judge merit without an intended use? It's interesting up to a point to guess what might be generally useful. But we can also design for our own...
... That sort of ties in with why I combine ETs to look for "good" temperaments. I even have some algebra to back it up. For a reasonable (STD) choice of...
... Like I said on tuning, it's an information visualization problem, which is mainly governed by principles of cognitive psychology. It will matter whether...
... http://users.bigpond.net.au/d.keenan/sagittal/Sagittal2_character_map.pdf ... Hi Carl, I have to admit, if my first introduction to sagittal was the first ...
... It depends more importantly on whether or not we expect anybody else to read it at all and whether we expect them to play music written in it. ... I can't...
... Touché! ... That's reasonable. ... This really highlights my disagreement with the standard set. Other than that I'm quite happy with sagittal. Graham...
... That's also my main focus -- although I'd like as a goal to have a system for notating anything, I've been giving more attention to those aspects of the...
... Well, the "early sagittal" is a very good set of accidentals for 72. The curved flags are where you went wrong from my point of view. ... Ouch. -Carl...
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