The Exciting Universe Of Music Theory

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Scale 705

Scale 705, 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).


Cardinality4 (tetratonic)
Pitch Class Set{0,6,7,9}
Forte Number4-13
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 105
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
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
Ridge Tonesnone

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 are the rotational transformation of this scale. Scale 705 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 75
Scale 75, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2085
Scale 2085, Ian Ring Music Theory
4th mode:
Scale 1545
Scale 1545, Ian Ring Music Theory


The prime form of this scale is Scale 75

Scale 75Scale 75, Ian Ring Music Theory


The tetratonic modal family [705, 75, 2085, 1545] (Forte: 4-13) is the complement of the octatonic modal family [735, 1785, 1995, 2415, 3045, 3255, 3675, 3885] (Forte: 8-13)


The inverse of a scale is a reflection using the root as its axis. The inverse of 705 is 105

Scale 105Scale 105, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 705 is chiral, and its enantiomorph is scale 105

Scale 105Scale 105, Ian Ring Music Theory


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

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 707Scale 707, Ian Ring Music Theory
Scale 709Scale 709: Raga Shri Kalyan, Ian Ring Music TheoryRaga Shri Kalyan
Scale 713Scale 713: Thoptitonic, Ian Ring Music TheoryThoptitonic
Scale 721Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
Scale 737Scale 737, Ian Ring Music Theory
Scale 641Scale 641, Ian Ring Music Theory
Scale 673Scale 673, Ian Ring Music Theory
Scale 577Scale 577, Ian Ring Music Theory
Scale 833Scale 833, Ian Ring Music Theory
Scale 961Scale 961, Ian Ring Music Theory
Scale 193Scale 193: Raga Ongkari, Ian Ring Music TheoryRaga Ongkari
Scale 449Scale 449, Ian Ring Music Theory
Scale 1217Scale 1217, Ian Ring Music Theory
Scale 1729Scale 1729, Ian Ring Music Theory
Scale 2753Scale 2753, 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.