Douglas Blumeyer's RTT How-To: Difference between revisions

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As you can see from the 2.15.7 example, you don't even have to use primes. Simple and common examples of this situation are the 2.9.5 or the 2.3.25 groups, where you're targeting multiples of the same prime, rather than combinations of different primes.

And these are no longer ''JI'' groups, of course, but you can even use irrationals, like the 2.π.5.7 group! The sky is the limit. Whatever you choose, though, this core structural rule <span><math>d - n = r</math></span> holds strong ''(see Figure 5d)''.

And these are no longer ''JI'' groups, of course, but you can even use irrationals, like the 2.ɸ.5.7 group! The sky is the limit. Whatever you choose, though, this core structural rule <span><math>d - n = r</math></span> holds strong ''(see Figure 5d)''.

The order you list the pitches you're approximating with your temperament is not standardized; generally you increase them in size from left to right, though as you can see from the 2.9.5 and 2.15.7 examples above it can often be less surprising to list the numbers in prime limit order instead. Whatever order you choose, the important thing is that you stay consistent about it, because that's the only way any of your vectors and covectors are going to match up correctly!

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 As you can see from the 2.15.7 example, you don't even have to use primes. Simple and common examples of this situation are the 2.9.5 or the 2.3.25 groups, where you're targeting multiples of the same prime, rather than combinations of different primes.
-And these are no longer ''JI'' groups, of course, but you can even use irrationals, like the 2.π.5.7 group! The sky is the limit. Whatever you choose, though, this core structural rule <span><math>d - n = r</math></span> holds strong ''(see Figure 5d)''.
+And these are no longer ''JI'' groups, of course, but you can even use irrationals, like the 2.ɸ.5.7 group! The sky is the limit. Whatever you choose, though, this core structural rule <span><math>d - n = r</math></span> holds strong ''(see Figure 5d)''.
 The order you list the pitches you're approximating with your temperament is not standardized; generally you increase them in size from left to right, though as you can see from the 2.9.5 and 2.15.7 examples above it can often be less surprising to list the numbers in prime limit order instead. Whatever order you choose, the important thing is that you stay consistent about it, because that's the only way any of your vectors and covectors are going to match up correctly!