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Scale 1801

Scale 1801, 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. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
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{0,3,8,9,10}
Forte Number5-Z36
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 541
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 151
Deep Scaleno
Interval Vector222121
Interval Spectrump2mn2s2d2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,3,5,6,8}
<3> = {4,6,7,9,10}
<4> = {7,9,10,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1801 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 737
Scale 737, Ian Ring Music Theory
3rd mode:
Scale 151
Scale 151, Ian Ring Music TheoryThis is the prime mode
4th mode:
Scale 2123
Scale 2123, Ian Ring Music Theory
5th mode:
Scale 3109
Scale 3109, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 151

Scale 151Scale 151, Ian Ring Music Theory

Complement

The pentatonic modal family [1801, 737, 151, 2123, 3109] (Forte: 5-Z36) is the complement of the heptatonic modal family [367, 1777, 1931, 2231, 3013, 3163, 3629] (Forte: 7-Z36)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1801 is 541

Scale 541Scale 541, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1801 is chiral, and its enantiomorph is scale 541

Scale 541Scale 541, Ian Ring Music Theory

Transformations:

T0 1801  T0I 541
T1 3602  T1I 1082
T2 3109  T2I 2164
T3 2123  T3I 233
T4 151  T4I 466
T5 302  T5I 932
T6 604  T6I 1864
T7 1208  T7I 3728
T8 2416  T8I 3361
T9 737  T9I 2627
T10 1474  T10I 1159
T11 2948  T11I 2318

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 1803Scale 1803, Ian Ring Music Theory
Scale 1805Scale 1805, Ian Ring Music Theory
Scale 1793Scale 1793, Ian Ring Music Theory
Scale 1797Scale 1797, Ian Ring Music Theory
Scale 1809Scale 1809: Ranitonic, Ian Ring Music TheoryRanitonic
Scale 1817Scale 1817: Phrythimic, Ian Ring Music TheoryPhrythimic
Scale 1833Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic
Scale 1865Scale 1865: Thagimic, Ian Ring Music TheoryThagimic
Scale 1929Scale 1929: Aeolycrimic, Ian Ring Music TheoryAeolycrimic
Scale 1545Scale 1545, Ian Ring Music Theory
Scale 1673Scale 1673: Thocritonic, Ian Ring Music TheoryThocritonic
Scale 1289Scale 1289, Ian Ring Music Theory
Scale 777Scale 777, Ian Ring Music Theory
Scale 2825Scale 2825, Ian Ring Music Theory
Scale 3849Scale 3849, 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. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.