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

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What’s tempering, you ask, and why temper? I won’t be answering those questions in depth here. Plenty has been said about the “what” and “why” elsewhere<ref>And curiously little about the history.</ref>. These materials are about the “how”.

But I will at least give brief answers. In the most typical case, tempering means ~~mistuning~~ the primes — the harmonic building blocks of your music — only a little bit, so that you can still sense what chords and melodies are “supposed” to be, but in just such a way that the interval math “adds up” in more practical ways than it does in pure [[just intonation]] (JI). This is also what [[Equal-step_tuning|equal divisions]] (EDs) do, but where EDs go “all the way”, compromising more JI accuracy for more ease of use, RTT finds a “middle path”: minimizing the accuracies you sacrifice, while maximizing ease of use. Understanding that much of the “what”, you can refer to this table to see basically “why”:

But I will at least give brief answers. In the most typical case, tempering means adjusting the tuning of the primes — the harmonic building blocks of your music — only a little bit, so that you can still sense what chords and melodies are “supposed” to be, but in just such a way that the interval math “adds up” in more practical ways than it does in pure [[just intonation]] (JI). This is also what [[Equal-step_tuning|equal divisions]] (EDs) do, but where EDs go “all the way”, compromising more JI accuracy for more ease of use, RTT finds a “middle path”: minimizing the accuracies you sacrifice, while maximizing ease of use. Understanding that much of the “what”, you can refer to this table to see basically “why”:

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 What’s tempering, you ask, and why temper? I won’t be answering those questions in depth here. Plenty has been said about the “what” and “why” elsewhere<ref>And curiously little about the history.</ref>. These materials are about the “how”.
-But I will at least give brief answers. In the most typical case, tempering means mistuning the primes — the harmonic building blocks of your music — only a little bit, so that you can still sense what chords and melodies are “supposed” to be, but in just such a way that the interval math “adds up” in more practical ways than it does in pure [[just intonation]] (JI). This is also what [[Equal-step_tuning|equal divisions]] (EDs) do, but where EDs go “all the way”, compromising more JI accuracy for more ease of use, RTT finds a “middle path”: minimizing the accuracies you sacrifice, while maximizing ease of use. Understanding that much of the “what”, you can refer to this table to see basically “why”:
+But I will at least give brief answers. In the most typical case, tempering means adjusting the tuning of the primes — the harmonic building blocks of your music — only a little bit, so that you can still sense what chords and melodies are “supposed” to be, but in just such a way that the interval math “adds up” in more practical ways than it does in pure [[just intonation]] (JI). This is also what [[Equal-step_tuning|equal divisions]] (EDs) do, but where EDs go “all the way”, compromising more JI accuracy for more ease of use, RTT finds a “middle path”: minimizing the accuracies you sacrifice, while maximizing ease of use. Understanding that much of the “what”, you can refer to this table to see basically “why”:
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