31st-octave temperaments: Difference between revisions

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Prajapati: minor edit
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Birds: minor edit
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=Birds=
=Birds=
The birds temperament tempers out the ''31-5 comma'', |72 0 -31>, which is the amount (24.275 cents) by which 31 just (5/4) major thirds fall short of ten octaves. The name comes from Isaiah 31:5 "As birds flying, so wil the Lord of hostes defend Ierusalem, defending also hee will deliuer it, and passing ouer, he will preserue it." It also tempers out the 31-7 comma, but sadly, combining the two commas leads to torsion.
The birds temperament tempers out the ''31-5 comma'', |72 0 -31>, which is the amount (24.275 cents) by which 31 just major thirds (5/4) fall short of ten octaves. The name comes from Isaiah 31:5 "As birds flying, so wil the Lord of hostes defend Ierusalem, defending also hee will deliuer it, and passing ouer, he will preserue it." It also tempers out the 31-7 comma, but sadly, combining the two commas leads to torsion.


Commas: 3136/3125, 823543/819200
Commas: 3136/3125, 823543/819200
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EDOs: 31, 124, 155, 186, 217, 248, 465
EDOs: 31, 124, 155, 186, 217, 248, 465


Badness: 0.1000
Badness: 0.0999


==11-limit==
==11-limit==