42edo: Difference between revisions
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42edo’s inaccurate 3rd and 5th harmonics can be greatly improved through [[octave stretching]] or [[octave shrinking]]. Both approaches work about equally well but in opposite directions, giving two quite different flavors of tuning to play with. | 42edo’s inaccurate 3rd and 5th harmonics can be greatly improved through [[octave stretching]] or [[octave shrinking]]. Both approaches work about equally well but in opposite directions, giving two quite different flavors of tuning to play with. | ||
The following table compares three stretched and two compressed tunings of 42edo: | |||
{| class="wikitable | {| class="wikitable" | ||
|+ | |+ | ||
!Tuning | !Tuning | ||
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| great: 5, 11, 13 <br>good: 2, 3 <br>okay: <br>bad: 7 | | great: 5, 11, 13 <br>good: 2, 3 <br>okay: <br>bad: 7 | ||
| great: 3, 5, 11 <br>good: 2 <br>okay: 13 <br>bad: 7 | | great: 3, 5, 11 <br>good: 2 <br>okay: 13 <br>bad: 7 | ||
|- | |- | ||
| colspan="7" | <small><div style="text-align: center;">''“great” = 0-12.5% relative error • “good” = 12.5-27.5% • “okay” = 27.5-40% • “bad” = 40-50%''</div></small> | | colspan="7" | <small><div style="text-align: center;">''“great” = 0-12.5% relative error • “good” = 12.5-27.5% • “okay” = 27.5-40% • “bad” = 40-50%''</div></small> | ||
|} | |} | ||
For a more detailed comparison see [[Table of stretched 42edo tunings]]. | |||
==Intervals== | ==Intervals== | ||