Zarlino: Difference between revisions

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Redirected page to Nicetone#5-limit Zarlino scale
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Changed redirect target from Nicetone#5-limit Zarlino scale to Nicetone
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#REDIRECT [[Nicetone#5-limit%20Zarlino%20scale]]{{Wikipedia|Ptolemy's intense diatonic scale}}
#REDIRECT [[Nicetone]]
'''Zarlino''', also known as '''Ptolemy's intense diatonic scale''', is a [[heptatonic]] [[5-limit]] [[JI]] [[scale]]. Its abstract scale pattern is known as [[nicetone]], with step signature 3L 2M 2s. This pattern is a variety of diatonic, distinct from the [[mos]] pattern [[5L 2s]] officially called diatonic and found as such in fifth-generated tunings.
 
<pre>
! zarlino.scl
!
Ptolemy's Intense Diatonic Systonon, also Zarlino's scale, mavchrome7, Dwarf(&lt;7 11 16|)
! x^7-11*x^5-10*x^4+21*x^3+30*x^2+9*x
7
!
9/8
5/4
4/3
3/2
5/3
15/8
2/1
</pre>
 
; Fokker block 1
 
Chroma basis: {81/80, 135/128}
 
Mode 5|1, dome 2|4 (LlsLlLs)
 
L = 9/8, l = 10/9, s = 16/15
 
; Fokker block 2
 
Chroma basis: {25/24, 81/80}
 
Mode 5|1, dome 4|2 (LlsLlLs)
 
L = 9/8, l = 10/9, S = 27/25, s = 16/15
 
; Fokker block 3
 
Chroma basis: {25/24, 135/128}
 
Mode 4|2, dome 4|2 (lSslSls)
 
L = 75/64, l = 9/8, S = 10/9, s = 16/15
 
== See also ==
* [[Dimeanmav1]] – the same scale
* [[Superzarlino]]
* [[Zarlino (Pianoteq)]]
 
[[Category:7-tone scales]]
[[Category:Just intonation scales]]
[[Category:5-limit]]
[[Category:GO scales]]
[[Category:Rank-3 Fokker blocks]]
[[Category:Wakalixes]]
[[Category:Pages with Scala files]]

Revision as of 11:59, 18 March 2025

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