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User:BudjarnLambeth/The intervals I see as important: Difference between revisions

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BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,822 edits
mNo edit summary
Tag: Manual revert
Line 80: Line 80:
! style="background:#fff0c8;" | 13/3<br/><small>lg tri neu 2nd^</small>
! style="background:#fff0c8;" | 13/3<br/><small>lg tri neu 2nd^</small>
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Use the attached PDF to calculate the correct numbers.
Use the attached PDF to calculate the correct numbers.
All the columns N/1 (eg 2/1, 3/1) are already correct. For the other columns, some cells are correct and some not. What you need to do is subtract the error (in cents (¢)) of the two harmonics involved, but don't disregard their direction. For example if harmonic 5 has +10¢ error and harmonic 3 has -9¢ error, then the total error of interval 5/3 is 19¢ (opposite errors add). If harmonic 5 has +10¢ error and harmonic 3 has +9¢ error, then the total error of interval 5/3 is 1¢ (same-direction errors subtract).</pre>
All the columns N/1 (eg 2/1, 3/1) are already correct. For the other columns, some cells are correct and some not. What you need to do is subtract the error (in cents (¢)) of the two harmonics involved, but don't disregard their direction. For example if harmonic 5 has +10¢ error and harmonic 3 has -9¢ error, then the total error of interval 5/3 is 19¢ (opposite errors add). If harmonic 5 has +10¢ error and harmonic 3 has +9¢ error, then the total error of interval 5/3 is 1¢ (same-direction errors subtract).</pre>
(I added the "number of dissonance" column manually, then coloured it using Claude.)
== See also ==
* [[User:BudjarnLambeth/Runoff]]
* [[Dual-fifth]]
* [[Low harmonic entropy linear temperaments]]
* [[Harmonic entropy of just intervals]]
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