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Scale 2625

Scale 2625, 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

Cardinality4 (tetratonic)
Pitch Class Set{0,6,9,11}
Forte Number4-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 75
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 75
Deep Scaleno
Interval Vector112011
Interval Spectrumpn2sdt
Distribution Spectra<1> = {1,2,3,6}
<2> = {3,5,7,9}
<3> = {6,9,10,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Diminished Triadsf♯°{6,9,0}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.

Modes

Modes are the rotational transformation of this scale. Scale 2625 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 105
Scale 105, Ian Ring Music Theory
3rd mode:
Scale 525
Scale 525, Ian Ring Music Theory
4th mode:
Scale 1155
Scale 1155, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 75

Scale 75Scale 75, Ian Ring Music Theory

Complement

The tetratonic modal family [2625, 105, 525, 1155] (Forte: 4-13) is the complement of the octatonic modal family [735, 1785, 1995, 2415, 3045, 3255, 3675, 3885] (Forte: 8-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2625 is 75

Scale 75Scale 75, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2625 is chiral, and its enantiomorph is scale 75

Scale 75Scale 75, Ian Ring Music Theory

Transformations:

T0 2625  T0I 75
T1 1155  T1I 150
T2 2310  T2I 300
T3 525  T3I 600
T4 1050  T4I 1200
T5 2100  T5I 2400
T6 105  T6I 705
T7 210  T7I 1410
T8 420  T8I 2820
T9 840  T9I 1545
T10 1680  T10I 3090
T11 3360  T11I 2085

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 2627Scale 2627, Ian Ring Music Theory
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 2633Scale 2633: Bartók Beta Chord, Ian Ring Music TheoryBartók Beta Chord
Scale 2641Scale 2641: Raga Hindol, Ian Ring Music TheoryRaga Hindol
Scale 2657Scale 2657, Ian Ring Music Theory
Scale 2561Scale 2561, Ian Ring Music Theory
Scale 2593Scale 2593, Ian Ring Music Theory
Scale 2689Scale 2689, Ian Ring Music Theory
Scale 2753Scale 2753, Ian Ring Music Theory
Scale 2881Scale 2881, Ian Ring Music Theory
Scale 2113Scale 2113, Ian Ring Music Theory
Scale 2369Scale 2369, Ian Ring Music Theory
Scale 3137Scale 3137, Ian Ring Music Theory
Scale 3649Scale 3649, Ian Ring Music Theory
Scale 577Scale 577, Ian Ring Music Theory
Scale 1601Scale 1601, 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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.