The Exciting Universe Of Music Theory

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Scale 1505

Scale 1505, 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).


Cardinality6 (hexatonic)
Pitch Class Set{0,5,6,7,8,10}
Forte Number6-9
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 245
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 175
Deep Scaleno
Interval Vector342231
Interval Spectrump3m2n2s4d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,4,6,7}
<3> = {3,4,5,7,8,9}
<4> = {5,6,8,9,10}
<5> = {7,10,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 1505 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 175
Scale 175, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2135
Scale 2135, Ian Ring Music Theory
4th mode:
Scale 3115
Scale 3115, Ian Ring Music Theory
5th mode:
Scale 3605
Scale 3605, Ian Ring Music Theory
6th mode:
Scale 1925
Scale 1925, Ian Ring Music Theory


The prime form of this scale is Scale 175

Scale 175Scale 175, Ian Ring Music Theory


The hexatonic modal family [1505, 175, 2135, 3115, 3605, 1925] (Forte: 6-9) is the complement of the hexatonic modal family [175, 1505, 1925, 2135, 3115, 3605] (Forte: 6-9)


The inverse of a scale is a reflection using the root as its axis. The inverse of 1505 is 245

Scale 245Scale 245: Raga Dipak, Ian Ring Music TheoryRaga Dipak


Only scales that are chiral will have an enantiomorph. Scale 1505 is chiral, and its enantiomorph is scale 245

Scale 245Scale 245: Raga Dipak, Ian Ring Music TheoryRaga Dipak


T0 1505  T0I 245
T1 3010  T1I 490
T2 1925  T2I 980
T3 3850  T3I 1960
T4 3605  T4I 3920
T5 3115  T5I 3745
T6 2135  T6I 3395
T7 175  T7I 2695
T8 350  T8I 1295
T9 700  T9I 2590
T10 1400  T10I 1085
T11 2800  T11I 2170

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 1507Scale 1507: Zynian, Ian Ring Music TheoryZynian
Scale 1509Scale 1509: Ragian, Ian Ring Music TheoryRagian
Scale 1513Scale 1513: Stathian, Ian Ring Music TheoryStathian
Scale 1521Scale 1521: Stanian, Ian Ring Music TheoryStanian
Scale 1473Scale 1473, Ian Ring Music Theory
Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti
Scale 1441Scale 1441, Ian Ring Music Theory
Scale 1377Scale 1377, Ian Ring Music Theory
Scale 1249Scale 1249, Ian Ring Music Theory
Scale 1761Scale 1761, Ian Ring Music Theory
Scale 2017Scale 2017, Ian Ring Music Theory
Scale 481Scale 481, Ian Ring Music Theory
Scale 993Scale 993, Ian Ring Music Theory
Scale 2529Scale 2529, Ian Ring Music Theory
Scale 3553Scale 3553, 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 ( Peruse this Bibliography.