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Scale 1797

Scale 1797, 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).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,2,8,9,10}
Forte Number5-9
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1053
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 87
Deep Scaleno
Interval Vector231211
Interval Spectrumpm2ns3d2t
Distribution Spectra<1> = {1,2,6}
<2> = {2,3,4,7,8}
<3> = {4,5,8,9,10}
<4> = {6,10,11}
Spectra Variation4.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1797 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1473
Scale 1473, Ian Ring Music Theory
3rd mode:
Scale 87
Scale 87, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2091
Scale 2091, Ian Ring Music Theory
5th mode:
Scale 3093
Scale 3093, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 87

Scale 87Scale 87, Ian Ring Music Theory

Complement

The pentatonic modal family [1797, 1473, 87, 2091, 3093] (Forte: 5-9) is the complement of the heptatonic modal family [351, 1521, 1989, 2223, 3159, 3627, 3861] (Forte: 7-9)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1797 is 1053

Scale 1053Scale 1053, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1797 is chiral, and its enantiomorph is scale 1053

Scale 1053Scale 1053, Ian Ring Music Theory

Transformations:

T0 1797  T0I 1053
T1 3594  T1I 2106
T2 3093  T2I 117
T3 2091  T3I 234
T4 87  T4I 468
T5 174  T5I 936
T6 348  T6I 1872
T7 696  T7I 3744
T8 1392  T8I 3393
T9 2784  T9I 2691
T10 1473  T10I 1287
T11 2946  T11I 2574

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 1799Scale 1799, Ian Ring Music Theory
Scale 1793Scale 1793, Ian Ring Music Theory
Scale 1795Scale 1795, Ian Ring Music Theory
Scale 1801Scale 1801, Ian Ring Music Theory
Scale 1805Scale 1805, Ian Ring Music Theory
Scale 1813Scale 1813: Katothimic, Ian Ring Music TheoryKatothimic
Scale 1829Scale 1829: Pathimic, Ian Ring Music TheoryPathimic
Scale 1861Scale 1861: Phrygimic, Ian Ring Music TheoryPhrygimic
Scale 1925Scale 1925, Ian Ring Music Theory
Scale 1541Scale 1541, Ian Ring Music Theory
Scale 1669Scale 1669: Raga Matha Kokila, Ian Ring Music TheoryRaga Matha Kokila
Scale 1285Scale 1285, Ian Ring Music Theory
Scale 773Scale 773, Ian Ring Music Theory
Scale 2821Scale 2821, Ian Ring Music Theory
Scale 3845Scale 3845, Ian Ring Music Theory

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