User:Overthink/Draft edits: Difference between revisions

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= Pajara =
= Pajara =
== Interval chains ==
There are two different mappings of the 11-limit. One is just called ''pajara'' and is slightly more complex but suffers almost no loss of accuracy compared to the 7-limit. It is best tuned flat of 22edo. The other, called ''pajarous'' to avoid confusion, maps the 11th harmonic slightly simpler, but 22edo is the only [[11-odd-limit]] [[diamond monotone]] tuning, where primes [[3/1|3]] and [[5/1|5]] are less accurate than in optimal tunings of canonical 11-limit pajara.
There are two different mappings of the 11-limit. One is just called ''pajara'' and is slightly more complex but suffers almost no loss of accuracy compared to the 7-limit. It is best tuned flat of 22edo. The other, called ''pajarous'' to avoid confusion, maps the 11th harmonic slightly simpler, but 22edo is the only [[11-odd-limit]] [[diamond monotone]] tuning, where primes [[3/1|3]] and [[5/1|5]] are less accurate than in optimal tunings of canonical 11-limit pajara.


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{| class="wikitable center-1 right-2 right-4"
{| class="wikitable center-1 right-2 right-4"
|+ Pajara (12 & 22)
|+ style="font-size: 105%;" | Pajara ({{nowrap| 12 & 22 }})
|-
|-
! rowspan="2" | #
! rowspan="2" | #
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| 45/44, 56/55, 81/80
| 45/44, 56/55, 81/80
|}
|}
{| class="wikitable center-1 right-2 right-4"
{| class="wikitable center-1 right-2 right-4"
|+ Pajarous (10 & 22)
|+ style="font-size: 105%;" | Pajarous ({{nowrap| 10 & 22 }})
|-
|-
! rowspan="2" | #
! rowspan="2" | #