Nicetone: Difference between revisions

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'''Nicetone''' (also known as the '''Zarlino pattern''' or '''Ptolemaic diatonic''') is a 7-note [[Maximum variety|maximum-variety-3]] scale with the [[step signature]] {{nowrap|3L 2M 2s}}. Nicetone is a [[chiral]] scale with left-handed (LH, step pattern LMLsMLs) and right-handed (RH, step pattern LMLsLMs) variants that are rotationally non-equivalent. [[15edo]] is the first equal division that supports nicetone.

'''Nicetone''' (also known as the '''Zarlino pattern''', simply '''Zarlino''', or '''Ptolemaic diatonic''') is a 7-note [[Maximum variety|maximum-variety-3]] scale with the [[step signature]] {{nowrap|3L 2M 2s}}. Nicetone is a [[chiral]] scale with left-handed (LH, step pattern LMLsMLs) and right-handed (RH, step pattern LMLsLMs) variants that are rotationally non-equivalent. [[15edo]] is the first equal division that supports nicetone. 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.

Nicetone has the same pattern of the [[5-limit]] [[Zarlino]] scale, though it encompasses the whole range of {{nowrap|3L 2M 2s}}. It's also a subset of the {{nowrap|5L 2m 3s}} [[blackdye]] scale.

Nicetone has the same pattern of the [[5-limit]] [[Zarlino]] scale, though it encompasses the whole range of {{nowrap|3L 2M 2s}}. It's also a subset of the {{nowrap|5L 2m 3s}} [[blackdye]] scale. Note that "Zarlino" by itself can refer to both the JI scale and the scale pattern.

Nicetone is intermediate between the [[5L 2s]] diatonic scale and the [[3L 4s]] neutral scale.

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Remarkable non-MV3 generator-offset supersets include [[blackdye]] (10-note, LmLsLmLsLs).

== 5-limit Zarlino scale ==

'''Ptolemy's intense diatonic scale''' is a [[heptatonic]] [[5-limit]] [[JI]] [[scale]] with the [[nicetone]] step pattern. <pre>

! zarlino-RH.scl

!

Ptolemy's Intense Diatonic Systonon, also Zarlino's scale, mavchrome7, Dwarf(<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><pre>

! zarlino-LH.scl

!

Ptolemy's Intense Diatonic Systonon, also Zarlino's scale, mavchrome7, Dwarf(<7 11 16|)

! x^7-11*x^5-10*x^4+21*x^3+30*x^2+9*x

7

!

10/9

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 ==

* [[Blackdye]] – A 10-note scale that is an extension to nicetone.

* [[Zarlino]] – A 5-limit JI scale with the same pattern.

* [[Omnidiatonic]] – Sister 2L 3M 2s scale

* [[Antinicetone]] – Sister 2L 2M 3s scale

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* [[Nicepent]] – The pentatonic predecessor to nicetone.

* [[Nicechrome]] – A possible chromatic (12-note) extension to nicetone.

* [[Dimeanmav1]]

*[[Superzarlino]]

*[[Zarlino (Pianoteq)]]

[[Category:Rank-3 scales]]

[[Category:7-tone scales]]

[[Category:GO scales]]

@@ Line 1: / Line 1: @@
-'''Nicetone''' (also known as the '''Zarlino pattern''' or '''Ptolemaic diatonic''') is a 7-note [[Maximum variety|maximum-variety-3]] scale with the [[step signature]] {{nowrap|3L 2M 2s}}. Nicetone is a [[chiral]] scale with left-handed (LH, step pattern LMLsMLs) and right-handed (RH, step pattern LMLsLMs) variants that are rotationally non-equivalent. [[15edo]] is the first equal division that supports nicetone.
+'''Nicetone''' (also known as the '''Zarlino pattern''', simply '''Zarlino''', or '''Ptolemaic diatonic''') is a 7-note [[Maximum variety|maximum-variety-3]] scale with the [[step signature]] {{nowrap|3L 2M 2s}}. Nicetone is a [[chiral]] scale with left-handed (LH, step pattern LMLsMLs) and right-handed (RH, step pattern LMLsLMs) variants that are rotationally non-equivalent. [[15edo]] is the first equal division that supports nicetone. 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.
-Nicetone has the same pattern of the [[5-limit]] [[Zarlino]] scale, though it encompasses the whole range of {{nowrap|3L 2M 2s}}. It's also a subset of the {{nowrap|5L 2m 3s}} [[blackdye]] scale.
+Nicetone has the same pattern of the [[5-limit]] [[Zarlino]] scale, though it encompasses the whole range of {{nowrap|3L 2M 2s}}. It's also a subset of the {{nowrap|5L 2m 3s}} [[blackdye]] scale. Note that "Zarlino" by itself can refer to both the JI scale and the scale pattern.
 Nicetone is intermediate between the [[5L&nbsp;2s]] diatonic scale and the [[3L&nbsp;4s]] neutral scale.
@@ Line 529: / Line 529: @@
 Remarkable non-MV3 generator-offset supersets include [[blackdye]] (10-note, LmLsLmLsLs).
+== 5-limit Zarlino scale ==
+'''Ptolemy's intense diatonic scale''' is a [[heptatonic]] [[5-limit]] [[JI]] [[scale]] with the [[nicetone]] step pattern.  <pre>
+! zarlino-RH.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
+!
+/8
+/4
+/3
+/2
+/3
+/8
+/1
+</pre><pre>
+! zarlino-LH.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
+!
+/9
+/4
+/3
+/2
+/3
+/8
+/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 ==
 * [[Blackdye]] &ndash; A 10-note scale that is an extension to nicetone.
-* [[Zarlino]] &ndash; A 5-limit JI scale with the same pattern.
 * [[Omnidiatonic]] &ndash; Sister 2L 3M 2s scale
 * [[Antinicetone]] &ndash; Sister 2L 2M 3s scale
@@ Line 540: / Line 587: @@
 * [[Nicepent]] &ndash; The pentatonic predecessor to nicetone.
 * [[Nicechrome]] &ndash; A possible chromatic (12-note) extension to nicetone.
+* [[Dimeanmav1]]
+*[[Superzarlino]]
+*[[Zarlino (Pianoteq)]]
 [[Category:Rank-3 scales]]
 [[Category:7-tone scales]]
 [[Category:GO scales]]