22ed5: Difference between revisions
Created page with "'''Division of the 5th harmonic into 22 equal parts''' (22ed5) is a good hyperpyth tuning. The step size about 126.6506 cents. It is similar to 15edt and every..." Tags: Mobile edit Mobile web edit |
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'''[[Ed5|Division of the 5th harmonic]] into 22 equal parts''' (22ed5) is a good [[hyperpyth | '''[[Ed5|Division of the 5th harmonic]] into 22 equal parts''' (22ed5) is a good [[hyperpyth]] tuning. The step size about 126.6506 cents. It is compared to [[15edt]] and every second step of [[19edo]], but with the 5/1 rather than 2/1 or 3/1 being just. | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 51: | Line 51: | ||
| | 1013.2050 | | | 1013.2050 | ||
| | 70/39 | | | 70/39 | ||
| | | | | -4.4 cents from [[9/5]] | ||
|- | |- | ||
| | 9 | | | 9 | ||
| Line 76: | Line 76: | ||
| | 1646.4581 | | | 1646.4581 | ||
| | [[22/17|44/17]] | | | [[22/17|44/17]] | ||
| | | | | -7.8 cents from [[13/5]] | ||
|- | |- | ||
| | 14 | | | 14 | ||
| Line 96: | Line 96: | ||
| | 2153.0606 | | | 2153.0606 | ||
| | [[26/15|52/15]] | | | [[26/15|52/15]] | ||
| | | | | +34.4 cents from [[17/10|17/5]] | ||
|- | |- | ||
| | 18 | | | 18 | ||
| | 2279.7112 | | | 2279.7112 | ||
| | [[28/15|56/15]] | | | [[28/15|56/15]] | ||
| | | | | -31.5 cents from [[19/10|19/5]] | ||
|- | |- | ||
| | 19 | | | 19 | ||
| Line 111: | Line 111: | ||
| | 2533.0125 | | | 2533.0125 | ||
| | 95/22 | | | 95/22 | ||
| | | | | +48.5 cents from [[21/20|21/5]] | ||
|- | |- | ||
| | 21 | | | 21 | ||
| Line 125: | Line 125: | ||
==22ed5 as a generator== | ==22ed5 as a generator== | ||
22ed5 can also be thought of as a generator of the 19-limit [[15edt|mowgli temperament]], which tempers out 351/350, 476/475, 495/494, 969/968, 1445/1444, and 1701/1690, which is a cluster temperament with nine clusters of notes in an octave. This temperament is supported by [[19edo]] and [[ | 22ed5 can also be thought of as a generator of the 19-limit [[15edt|mowgli temperament]], which tempers out 351/350, 476/475, 495/494, 969/968, 1445/1444, and 1701/1690, which is a cluster temperament with nine clusters of notes in an octave. This temperament is supported by [[19edo]], [[161edo]], and [[180edo]] among others. | ||
[[Category:Ed5]] | [[Category:Ed5]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||