Zarlino

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Nicetone#5-limit Zarlino scale

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.

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Ptolemy's intense diatonic scale

! zarlino.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

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

Zarlino

See also