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Scale 2497

Scale 2497, 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{0,6,7,8,11}
Forte Number5-6
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 115
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 103
Deep Scaleno
Interval Vector311221
Interval Spectrump2m2nsd3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7}
<3> = {5,8,10}
<4> = {6,9,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2497 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 103
Scale 103, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2099
Scale 2099: Raga Megharanji, Ian Ring Music TheoryRaga Megharanji
4th mode:
Scale 3097
Scale 3097, Ian Ring Music Theory
5th mode:
Scale 899
Scale 899, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 103

Scale 103Scale 103, Ian Ring Music Theory

Complement

The pentatonic modal family [2497, 103, 2099, 3097, 899] (Forte: 5-6) is the complement of the heptatonic modal family [415, 995, 2255, 2545, 3175, 3635, 3865] (Forte: 7-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2497 is 115

Scale 115Scale 115, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2497 is chiral, and its enantiomorph is scale 115

Scale 115Scale 115, Ian Ring Music Theory

Transformations:

T0 2497  T0I 115
T1 899  T1I 230
T2 1798  T2I 460
T3 3596  T3I 920
T4 3097  T4I 1840
T5 2099  T5I 3680
T6 103  T6I 3265
T7 206  T7I 2435
T8 412  T8I 775
T9 824  T9I 1550
T10 1648  T10I 3100
T11 3296  T11I 2105

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 2499Scale 2499, Ian Ring Music Theory
Scale 2501Scale 2501: Ralimic, Ian Ring Music TheoryRalimic
Scale 2505Scale 2505: Mydimic, Ian Ring Music TheoryMydimic
Scale 2513Scale 2513: Aerycrimic, Ian Ring Music TheoryAerycrimic
Scale 2529Scale 2529, Ian Ring Music Theory
Scale 2433Scale 2433, Ian Ring Music Theory
Scale 2465Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani
Scale 2369Scale 2369, Ian Ring Music Theory
Scale 2241Scale 2241, Ian Ring Music Theory
Scale 2753Scale 2753, Ian Ring Music Theory
Scale 3009Scale 3009, Ian Ring Music Theory
Scale 3521Scale 3521, Ian Ring Music Theory
Scale 449Scale 449, Ian Ring Music Theory
Scale 1473Scale 1473, 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.