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Scale 1825

Scale 1825, 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{0,5,8,9,10}
Forte Number5-11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 157
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 157
Deep Scaleno
Interval Vector222220
Interval Spectrump2m2n2s2d2
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,3,4,7,8}
<3> = {4,5,8,9,10}
<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 1825 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 185
Scale 185, Ian Ring Music Theory
3rd mode:
Scale 535
Scale 535, Ian Ring Music Theory
4th mode:
Scale 2315
Scale 2315, Ian Ring Music Theory
5th mode:
Scale 3205
Scale 3205, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 157

Scale 157Scale 157, Ian Ring Music Theory

Complement

The pentatonic modal family [1825, 185, 535, 2315, 3205] (Forte: 5-11) is the complement of the heptatonic modal family [379, 1583, 1969, 2237, 2839, 3467, 3781] (Forte: 7-11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1825 is 157

Scale 157Scale 157, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1825 is chiral, and its enantiomorph is scale 157

Scale 157Scale 157, Ian Ring Music Theory

Transformations:

T0 1825  T0I 157
T1 3650  T1I 314
T2 3205  T2I 628
T3 2315  T3I 1256
T4 535  T4I 2512
T5 1070  T5I 929
T6 2140  T6I 1858
T7 185  T7I 3716
T8 370  T8I 3337
T9 740  T9I 2579
T10 1480  T10I 1063
T11 2960  T11I 2126

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 1827Scale 1827: Katygimic, Ian Ring Music TheoryKatygimic
Scale 1829Scale 1829: Pathimic, Ian Ring Music TheoryPathimic
Scale 1833Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic
Scale 1841Scale 1841: Thogimic, Ian Ring Music TheoryThogimic
Scale 1793Scale 1793, Ian Ring Music Theory
Scale 1809Scale 1809: Ranitonic, Ian Ring Music TheoryRanitonic
Scale 1857Scale 1857, Ian Ring Music Theory
Scale 1889Scale 1889, Ian Ring Music Theory
Scale 1953Scale 1953, Ian Ring Music Theory
Scale 1569Scale 1569, Ian Ring Music Theory
Scale 1697Scale 1697: Raga Kuntvarali, Ian Ring Music TheoryRaga Kuntvarali
Scale 1313Scale 1313, Ian Ring Music Theory
Scale 801Scale 801, Ian Ring Music Theory
Scale 2849Scale 2849, Ian Ring Music Theory
Scale 3873Scale 3873, 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.