The Exciting Universe Of Music Theory

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Scale 2305

Scale 2305, 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

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).


Cardinality3 (tritonic)
Pitch Class Set{0,8,11}
Forte Number3-3
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 19
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 19
Deep Scaleno
Interval Vector101100
Interval Spectrummnd
Distribution Spectra<1> = {1,3,8}
<2> = {4,9,11}
Spectra Variation4.667
Maximally Evenno
Maximal Area Setno
Interior Area0.317
Myhill Propertyno
Ridge Tonesnone

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.


Modes are the rotational transformation of this scale. Scale 2305 can be rotated to make 2 other scales. The 1st mode is itself.

2nd mode:
Scale 25
Scale 25, Ian Ring Music Theory
3rd mode:
Scale 515
Scale 515, Ian Ring Music Theory


The prime form of this scale is Scale 19

Scale 19Scale 19, Ian Ring Music Theory


The tritonic modal family [2305, 25, 515] (Forte: 3-3) is the complement of the nonatonic modal family [895, 2035, 2495, 3065, 3295, 3695, 3895, 3995, 4045] (Forte: 9-3)


The inverse of a scale is a reflection using the root as its axis. The inverse of 2305 is 19

Scale 19Scale 19, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 2305 is chiral, and its enantiomorph is scale 19

Scale 19Scale 19, Ian Ring Music Theory


T0 2305  T0I 19
T1 515  T1I 38
T2 1030  T2I 76
T3 2060  T3I 152
T4 25  T4I 304
T5 50  T5I 608
T6 100  T6I 1216
T7 200  T7I 2432
T8 400  T8I 769
T9 800  T9I 1538
T10 1600  T10I 3076
T11 3200  T11I 2057

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 2307Scale 2307, Ian Ring Music Theory
Scale 2309Scale 2309, Ian Ring Music Theory
Scale 2313Scale 2313, Ian Ring Music Theory
Scale 2321Scale 2321: Zyphic, Ian Ring Music TheoryZyphic
Scale 2337Scale 2337, Ian Ring Music Theory
Scale 2369Scale 2369, Ian Ring Music Theory
Scale 2433Scale 2433, Ian Ring Music Theory
Scale 2049Scale 2049, Ian Ring Music Theory
Scale 2177Scale 2177, Ian Ring Music Theory
Scale 2561Scale 2561, Ian Ring Music Theory
Scale 2817Scale 2817, Ian Ring Music Theory
Scale 3329Scale 3329, Ian Ring Music Theory
Scale 257Scale 257, Ian Ring Music Theory
Scale 1281Scale 1281, 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 ( 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. Special thanks to Richard Repp for helping with technical accuracy.