gdritter repos when-computer / f46a34b
Some phrasing changes on frequency set Getty Ritter 7 years ago
1 changed file(s) with 1 addition(s) and 1 deletion(s). Collapse all Expand all
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drafts/temperament-and-tuning.telml less more
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6161 \svgimg{/static/tuning/s2.svg}
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63 Next, \\(600 \\times \\frac\{3\}\{2\}\\) produces \\(900\\). That's outside the range I've chosen to display here: but, like before, we're going to be including not just 900 Hz, but also all the doubled and halved frequencies we can reach from 900 Hz, and one of those—450 Hz—is within the range of our graphic. Luckily, no matter which new tone we choose add, we're going to also be adding one corresponding tone in the 400 Hz to 800 Hz range, so whenever the new tone generated by application of the \tt{3:2} ratio is outside this range, I'll go ahead and halve it, so every new set of frequencies we generate will be in this range.
63 Next, \\(600 \\times \\frac\{3\}\{2\}\\) produces \\(900\\). That's outside the range I've chosen to display here: but, like before, we're going to be including not just 900 Hz, but also all the doubled and halved frequencies we can reach from 900 Hz, and one of those—450 Hz—is within the range of our graphic. Luckily, no matter which new tone we choose add, we're going to also be adding one corresponding tone in the 400 Hz to 800 Hz range, so whenever the new tone generated by application of the \tt{3:2} ratio is outside this range, I'll go ahead and halve it so we can only work with frequencies in this range.
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6565 \svgimg{/static/tuning/s3.svg}
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