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

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From this perspective, the disappearance of 81/80 is not a shortcoming, but a fascinating feature of 12-EDO; we say that 12-EDO '''supports''' the meantone temperament. And 81/80 in 12-EDO is only the beginning of that journey. For many people, tempering commas is one of the biggest draws to RTT.

But we’re still only talking about JI and EDOs. If you’re familiar with meantone as a historical temperament, you may be aware already that it is neither JI nor an EDO. Well, we’ve got a ways to go yet before we get there. One thing we can easily begin to do now, though, is this: refer to EDOs instead as ETs, or equal temperaments. The two terms are [[EDO_vs_ET|roughly synonymous]], but have different implications and connotations, and ~~since~~ we’re learning about temperament theory here, it would be ~~best~~ to use the local terminology. 12-ET it is, then.

But we’re still only talking about JI and EDOs. If you’re familiar with meantone as a historical temperament, you may be aware already that it is neither JI nor an EDO. Well, we’ve got a ways to go yet before we get there.

One thing we can easily begin to do now, though, is this: refer to EDOs instead as ETs, or equal temperaments. The two terms are [[EDO_vs_ET|roughly synonymous]], but have different implications and connotations. To put it briefly, the difference can be found in the names: 12 '''E'''qual '''D'''ivisions of the '''O'''ctave suggests only that your goal is equally dividing the octave, while 12 '''E'''qual '''T'''emperament suggests that your goal is to temper and that you have settled on a single equal step to accomplish that. Because we’re learning about temperament theory here, it would be more appropriate and accurate to use the local terminology. 12-ET it is, then.

=== approximating JI ===

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 From this perspective, the disappearance of 81/80 is not a shortcoming, but a fascinating feature of 12-EDO; we say that 12-EDO '''supports''' the meantone temperament. And 81/80 in 12-EDO is only the beginning of that journey. For many people, tempering commas is one of the biggest draws to RTT.
-But we’re still only talking about JI and EDOs. If you’re familiar with meantone as a historical temperament, you may be aware already that it is neither JI nor an EDO. Well, we’ve got a ways to go yet before we get there. One thing we can easily begin to do now, though, is this: refer to EDOs instead as ETs, or equal temperaments. The two terms are [[EDO_vs_ET|roughly synonymous]], but have different implications and connotations, and since we’re learning about temperament theory here, it would be best to use the local terminology. 12-ET it is, then.
+But we’re still only talking about JI and EDOs. If you’re familiar with meantone as a historical temperament, you may be aware already that it is neither JI nor an EDO. Well, we’ve got a ways to go yet before we get there.
+One thing we can easily begin to do now, though, is this: refer to EDOs instead as ETs, or equal temperaments. The two terms are [[EDO_vs_ET|roughly synonymous]], but have different implications and connotations. To put it briefly, the difference can be found in the names: 12 '''E'''qual '''D'''ivisions of the '''O'''ctave suggests only that your goal is equally dividing the octave, while 12 '''E'''qual '''T'''emperament suggests that your goal is to temper and that you have settled on a single equal step to accomplish that. Because we’re learning about temperament theory here, it would be more appropriate and accurate to use the local terminology. 12-ET it is, then.
 === approximating JI ===