Neutral third: Difference between revisions

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== In just intonation ==
== In just intonation ==
=== By prime limit ===
The 3-[[Prime limit|limit]] and 5-limit do not have simple neutral thirds, so we start with the 7-limit:
The 3-[[Prime limit|limit]] and 5-limit do not have simple neutral thirds, so we start with the 7-limit:


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* The 13-limit '''artoneutral''' and '''tendoneutral thirds''' are the ratios of [[39/32]] and [[16/13]] respectively, and they are about 342 and 359 cents respectively.
* The 13-limit '''artoneutral''' and '''tendoneutral thirds''' are the ratios of [[39/32]] and [[16/13]] respectively, and they are about 342 and 359 cents respectively.
* The 17-limit '''supraminor''' and '''submajor thirds''' are the ratios of [[17/14]] and [[21/17]] respectively, and they are about 336 and 366 cents respectively.
* The 17-limit '''supraminor''' and '''submajor thirds''' are the ratios of [[17/14]] and [[21/17]] respectively, and they are about 336 and 366 cents respectively.
=== By delta ===
{| class="wikitable"
|+
!Delta 2
!Cents
!Delta 3
!Cents
!Delta 4
!Cents
!Delta 5
!Cents
|-
|[[11/9]]
|347c
|[[16/13]]
|359c
|[[21/17]]
|365c
|[[26/21]]
|370c
|-
|
|
|[[17/14]]
|336c
|[[23/19]]
|330c
|[[27/22]]
|355c
|-
|
|
|
|
|
|
|[[28/23]]
|341c
|}


== In EDOs ==
== In EDOs ==