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Scale 2571

Scale 2571, 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{0,1,3,9,11}
Forte Number5-8
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections5
Modes4
Prime?no
prime: 93
Deep Scaleno
Interval Vector232201
Interval Spectrumm2n2s3d2t
Distribution Spectra<1> = {1,2,6}
<2> = {2,3,8}
<3> = {4,9,10}
<4> = {6,10,11}
Spectra Variation4.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[0]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2571 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3333
Scale 3333, Ian Ring Music Theory
3rd mode:
Scale 1857
Scale 1857, Ian Ring Music Theory
4th mode:
Scale 93
Scale 93, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 1047
Scale 1047, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 93

Scale 93Scale 93, Ian Ring Music Theory

Complement

The pentatonic modal family [2571, 3333, 1857, 93, 1047] (Forte: 5-8) is the complement of the heptatonic modal family [381, 1119, 2001, 2607, 3351, 3723, 3909] (Forte: 7-8)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2571 is itself, because it is a palindromic scale!

Scale 2571Scale 2571, Ian Ring Music Theory

Transformations:

T0 2571  T0I 2571
T1 1047  T1I 1047
T2 2094  T2I 2094
T3 93  T3I 93
T4 186  T4I 186
T5 372  T5I 372
T6 744  T6I 744
T7 1488  T7I 1488
T8 2976  T8I 2976
T9 1857  T9I 1857
T10 3714  T10I 3714
T11 3333  T11I 3333

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 2569Scale 2569, Ian Ring Music Theory
Scale 2573Scale 2573, Ian Ring Music Theory
Scale 2575Scale 2575, Ian Ring Music Theory
Scale 2563Scale 2563, Ian Ring Music Theory
Scale 2567Scale 2567, Ian Ring Music Theory
Scale 2579Scale 2579, Ian Ring Music Theory
Scale 2587Scale 2587, Ian Ring Music Theory
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic
Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic
Scale 2827Scale 2827, Ian Ring Music Theory
Scale 2059Scale 2059, Ian Ring Music Theory
Scale 2315Scale 2315, Ian Ring Music Theory
Scale 3083Scale 3083, Ian Ring Music Theory
Scale 3595Scale 3595, Ian Ring Music Theory
Scale 523Scale 523, Ian Ring Music Theory
Scale 1547Scale 1547, 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.