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Scale 1461: "Major-Minor"

Scale 1461: Major-Minor, 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).

Common Names

Western Mixed
Major-Minor
Western
Aeolian Dominant
Western Modern
Melodic Major
Schenkerian
Mischung 6
Western Altered
Mixolydian Flat 6
Mixolydian Flat 13
Altered Mixolydian
Carnatic Mela
Mela Carukesi
Carnatic Raga
Raga Charukeshi
Tarangini
Exoticisms
Hindu
Hindustan
Zeitler
Stydian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,5,7,8,10}
Forte Number7-34
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes6
Prime?no
prime: 1371
Deep Scaleno
Interval Vector254442
Interval Spectrump4m4n4s5d2t2
Distribution Spectra<1> = {1,2}
<2> = {3,4}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {8,9}
<6> = {10,11}
Spectra Variation1.143
Maximally Evenno
Maximal Area Setyes
Interior Area2.665
Myhill Propertyno
Balancedno
Ridge Tones[0]
ProprietyProper
Heliotonicyes

Harmonic Chords

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
Major TriadsC{0,4,7}231.71
A♯{10,2,5}231.71
Minor Triadsfm{5,8,0}231.71
gm{7,10,2}231.71
Augmented TriadsC+{0,4,8}231.71
Diminished Triads{2,5,8}231.71
{4,7,10}231.71
Parsimonious Voice Leading Between Common Triads of Scale 1461. Created by Ian Ring ©2019 C C C+ C+ C->C+ C->e° fm fm C+->fm d°->fm A# A# d°->A# gm gm e°->gm gm->A#

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1461 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1389
Scale 1389: Minor Locrian, Ian Ring Music TheoryMinor Locrian
3rd mode:
Scale 1371
Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrianThis is the prime mode
4th mode:
Scale 2733
Scale 2733: Melodic Minor Ascending, Ian Ring Music TheoryMelodic Minor Ascending
5th mode:
Scale 1707
Scale 1707: Dorian Flat 2, Ian Ring Music TheoryDorian Flat 2
6th mode:
Scale 2901
Scale 2901: Lydian Augmented, Ian Ring Music TheoryLydian Augmented
7th mode:
Scale 1749
Scale 1749: Acoustic, Ian Ring Music TheoryAcoustic

Prime

The prime form of this scale is Scale 1371

Scale 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian

Complement

The heptatonic modal family [1461, 1389, 1371, 2733, 1707, 2901, 1749] (Forte: 7-34) is the complement of the pentatonic modal family [597, 681, 1173, 1317, 1353] (Forte: 5-34)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1461 is itself, because it is a palindromic scale!

Scale 1461Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor

Transformations:

T0 1461  T0I 1461
T1 2922  T1I 2922
T2 1749  T2I 1749
T3 3498  T3I 3498
T4 2901  T4I 2901
T5 1707  T5I 1707
T6 3414  T6I 3414
T7 2733  T7I 2733
T8 1371  T8I 1371
T9 2742  T9I 2742
T10 1389  T10I 1389
T11 2778  T11I 2778

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 1463Scale 1463, Ian Ring Music Theory
Scale 1457Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari
Scale 1459Scale 1459: Phrygian Dominant, Ian Ring Music TheoryPhrygian Dominant
Scale 1465Scale 1465: Mela Ragavardhani, Ian Ring Music TheoryMela Ragavardhani
Scale 1469Scale 1469: Epiryllic, Ian Ring Music TheoryEpiryllic
Scale 1445Scale 1445: Raga Navamanohari, Ian Ring Music TheoryRaga Navamanohari
Scale 1453Scale 1453: Aeolian, Ian Ring Music TheoryAeolian
Scale 1429Scale 1429: Bythimic, Ian Ring Music TheoryBythimic
Scale 1493Scale 1493: Lydian Minor, Ian Ring Music TheoryLydian Minor
Scale 1525Scale 1525: Sodyllic, Ian Ring Music TheorySodyllic
Scale 1333Scale 1333: Lyptimic, Ian Ring Music TheoryLyptimic
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian
Scale 1205Scale 1205: Raga Siva Kambhoji, Ian Ring Music TheoryRaga Siva Kambhoji
Scale 1717Scale 1717: Mixolydian, Ian Ring Music TheoryMixolydian
Scale 1973Scale 1973: Zyryllic, Ian Ring Music TheoryZyryllic
Scale 437Scale 437: Ronimic, Ian Ring Music TheoryRonimic
Scale 949Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani
Scale 2485Scale 2485: Harmonic Major, Ian Ring Music TheoryHarmonic Major
Scale 3509Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic

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.