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Scale 1619: "Prometheus Neapolitan"

Scale 1619: Prometheus Neapolitan, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Unknown / Unsorted
Prometheus Neapolitan
Neapolitan Prometheus
Zeitler
Monimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,4,6,9,10}
Forte Number6-Z49
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 667
Deep Scaleno
Interval Vector224322
Interval Spectrump2m3n4s2d2t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {4,6,8}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[10]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1619 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2857
Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
3rd mode:
Scale 869
Scale 869: Kothimic, Ian Ring Music TheoryKothimic
4th mode:
Scale 1241
Scale 1241: Pygimic, Ian Ring Music TheoryPygimic
5th mode:
Scale 667
Scale 667: Rodimic, Ian Ring Music TheoryRodimicThis is the prime mode
6th mode:
Scale 2381
Scale 2381: Takemitsu Linea Mode 1, Ian Ring Music TheoryTakemitsu Linea Mode 1

Prime

The prime form of this scale is Scale 667

Scale 667Scale 667: Rodimic, Ian Ring Music TheoryRodimic

Complement

The hexatonic modal family [1619, 2857, 869, 1241, 667, 2381] (Forte: 6-Z49) is the complement of the hexatonic modal family [619, 857, 1427, 1613, 2357, 2761] (Forte: 6-Z28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1619 is 2381

Scale 2381Scale 2381: Takemitsu Linea Mode 1, Ian Ring Music TheoryTakemitsu Linea Mode 1

Transformations:

T0 1619  T0I 2381
T1 3238  T1I 667
T2 2381  T2I 1334
T3 667  T3I 2668
T4 1334  T4I 1241
T5 2668  T5I 2482
T6 1241  T6I 869
T7 2482  T7I 1738
T8 869  T8I 3476
T9 1738  T9I 2857
T10 3476  T10I 1619
T11 2857  T11I 3238

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 1617Scale 1617: Phronitonic, Ian Ring Music TheoryPhronitonic
Scale 1621Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
Scale 1623Scale 1623: Lothian, Ian Ring Music TheoryLothian
Scale 1627Scale 1627: Zyptian, Ian Ring Music TheoryZyptian
Scale 1603Scale 1603, Ian Ring Music Theory
Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
Scale 1635Scale 1635: Sygimic, Ian Ring Music TheorySygimic
Scale 1651Scale 1651: Asian, Ian Ring Music TheoryAsian
Scale 1555Scale 1555, Ian Ring Music Theory
Scale 1587Scale 1587: Raga Rudra Pancama, Ian Ring Music TheoryRaga Rudra Pancama
Scale 1683Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam
Scale 1747Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya
Scale 1875Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale
Scale 1107Scale 1107: Mogitonic, Ian Ring Music TheoryMogitonic
Scale 1363Scale 1363: Gygimic, Ian Ring Music TheoryGygimic
Scale 595Scale 595: Sogitonic, Ian Ring Music TheorySogitonic
Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 3667Scale 3667: Kaptian, Ian Ring Music TheoryKaptian

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Bibliography