Neutral third: Difference between revisions

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=== By delta ===
=== By delta ===
See [[Delta-N ratio]].
See [[Delta-N ratio]].
{| class="wikitable"
{| class="wikitable"
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! colspan="2" | Delta 5
! colspan="2" | Delta 5
|-
|-
|[[11/9]]
| [[11/9]]
| 347{{c}}
| 347{{c}}
|[[16/13]]
| [[16/13]]
| 359{{c}}
| 359{{c}}
|[[21/17]]
| [[21/17]]
| 365{{c}}
| 365{{c}}
|[[26/21]]
| [[26/21]]
| 370{{c}}
| 370{{c}}
|-
|-
|  
|  
|  
|  
|[[17/14]]
| [[17/14]]
| 336{{c}}
| 336{{c}}
|[[23/19]]
| [[23/19]]
| 330{{c}}
| 330{{c}}
|[[27/22]]
| [[27/22]]
| 355{{c}}
| 355{{c}}
|-
|-
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|  
|  
|  
|  
|[[28/23]]
| [[28/23]]
| 341{{c}}
| 341{{c}}
|}
|}
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== In edos ==
== In edos ==
The following table lists the best tuning of 39/32 and 16/13 in various significant [[edos]]. For applicable edos, it also lists one half of the edo's perfect fifth, approximating 1\[[2edf]], which, while not a just interval, is the "canonical" neutral third tuning, as stacking two of them gives [[3/2]].
The following table lists the best tuning of 39/32 and 16/13 in various significant [[edos]]. For applicable edos, it also lists one half of the edo's perfect fifth, approximating 1\[[2edf]], which, while not a just interval, is the "canonical" neutral third tuning, as stacking two of them gives [[3/2]].
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== In regular temperaments ==
== In regular temperaments ==
Temperaments generated by neutral thirds often involve tempering a pair of neutral thirds together. As such, each pair of neutral thirds has a corresponding temperament, which equates both neutral thirds to half of a perfect fifth:
Temperaments generated by neutral thirds often involve tempering a pair of neutral thirds together. As such, each pair of neutral thirds has a corresponding temperament, which equates both neutral thirds to half of a perfect fifth:
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! Pair of neutral thirds
! Pair of neutral thirds
! Temperament
! Temperament