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Scale 2101

Scale 2101, 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

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{0,2,4,5,11}
Forte Number5-Z12
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes4
Prime?no
prime: 107
Deep Scaleno
Interval Vector222121
Interval Spectrump2mn2s2d2t
Distribution Spectra<1> = {1,2,6}
<2> = {3,4,7}
<3> = {5,8,9}
<4> = {6,10,11}
Spectra Variation3.6
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[4]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2101 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1549
Scale 1549, Ian Ring Music Theory
3rd mode:
Scale 1411
Scale 1411, Ian Ring Music Theory
4th mode:
Scale 2753
Scale 2753, Ian Ring Music Theory
5th mode:
Scale 107
Scale 107, Ian Ring Music TheoryThis is the prime mode

Prime

The prime form of this scale is Scale 107

Scale 107Scale 107, Ian Ring Music Theory

Complement

The pentatonic modal family [2101, 1549, 1411, 2753, 107] (Forte: 5-Z12) is the complement of the heptatonic modal family [671, 997, 1273, 2383, 3239, 3667, 3881] (Forte: 7-Z12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2101 is 1411

Scale 1411Scale 1411, Ian Ring Music Theory

Transformations:

T0 2101  T0I 1411
T1 107  T1I 2822
T2 214  T2I 1549
T3 428  T3I 3098
T4 856  T4I 2101
T5 1712  T5I 107
T6 3424  T6I 214
T7 2753  T7I 428
T8 1411  T8I 856
T9 2822  T9I 1712
T10 1549  T10I 3424
T11 3098  T11I 2753

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 2103Scale 2103, Ian Ring Music Theory
Scale 2097Scale 2097, Ian Ring Music Theory
Scale 2099Scale 2099: Raga Megharanji, Ian Ring Music TheoryRaga Megharanji
Scale 2105Scale 2105, Ian Ring Music Theory
Scale 2109Scale 2109, Ian Ring Music Theory
Scale 2085Scale 2085, Ian Ring Music Theory
Scale 2093Scale 2093, Ian Ring Music Theory
Scale 2069Scale 2069, Ian Ring Music Theory
Scale 2133Scale 2133: Raga Kumurdaki, Ian Ring Music TheoryRaga Kumurdaki
Scale 2165Scale 2165, Ian Ring Music Theory
Scale 2229Scale 2229: Raga Nalinakanti, Ian Ring Music TheoryRaga Nalinakanti
Scale 2357Scale 2357: Raga Sarasanana, Ian Ring Music TheoryRaga Sarasanana
Scale 2613Scale 2613: Raga Hamsa Vinodini, Ian Ring Music TheoryRaga Hamsa Vinodini
Scale 3125Scale 3125, Ian Ring Music Theory
Scale 53Scale 53, Ian Ring Music Theory
Scale 1077Scale 1077, 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