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Scale 2733: "Melodic Minor Ascending"

Scale 2733: Melodic Minor Ascending, 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
Melodic Minor Ascending
Melodic Minor
Unknown / Unsorted
Heptatonia Seconda
Velavali
Deshi(2)
Jazz and Blues
Jazz Minor
Western Mixed
Minor-Major
Carnatic Mela
Mela Gaurimanohari
Carnatic Raga
Raga Patdip
Schenkerian
Mischung 1
Exoticisms
Hawaiian
Zeitler
Bocrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,5,7,9,11}
Forte Number7-34
Rotational Symmetrynone
Reflection Axes1
Palindromicno
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[2]
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 TriadsF{5,9,0}231.71
G{7,11,2}231.71
Minor Triadscm{0,3,7}231.71
dm{2,5,9}231.71
Augmented TriadsD♯+{3,7,11}231.71
Diminished Triads{9,0,3}231.71
{11,2,5}231.71
Parsimonious Voice Leading Between Common Triads of Scale 2733. Created by Ian Ring ©2019 cm cm D#+ D#+ cm->D#+ cm->a° dm dm F F dm->F dm->b° Parsimonious Voice Leading Between Common Triads of Scale 2733. Created by Ian Ring ©2019 G D#+->G F->a° G->b°

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 2733 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1707
Scale 1707: Dorian Flat 2, Ian Ring Music TheoryDorian Flat 2
3rd mode:
Scale 2901
Scale 2901: Lydian Augmented, Ian Ring Music TheoryLydian Augmented
4th mode:
Scale 1749
Scale 1749: Acoustic, Ian Ring Music TheoryAcoustic
5th mode:
Scale 1461
Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
6th mode:
Scale 1389
Scale 1389: Minor Locrian, Ian Ring Music TheoryMinor Locrian
7th mode:
Scale 1371
Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrianThis is the prime mode

Prime

The prime form of this scale is Scale 1371

Scale 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian

Complement

The heptatonic modal family [2733, 1707, 2901, 1749, 1461, 1389, 1371] (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 2733 is 1707

Scale 1707Scale 1707: Dorian Flat 2, Ian Ring Music TheoryDorian Flat 2

Transformations:

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

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 2735Scale 2735: Gynyllic, Ian Ring Music TheoryGynyllic
Scale 2729Scale 2729: Aeragimic, Ian Ring Music TheoryAeragimic
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 2725Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
Scale 2741Scale 2741: Major, Ian Ring Music TheoryMajor
Scale 2749Scale 2749: Katagyllic, Ian Ring Music TheoryKatagyllic
Scale 2701Scale 2701: Hawaiian, Ian Ring Music TheoryHawaiian
Scale 2717Scale 2717: Epygian, Ian Ring Music TheoryEpygian
Scale 2765Scale 2765: Lydian Diminished, Ian Ring Music TheoryLydian Diminished
Scale 2797Scale 2797: Stalyllic, Ian Ring Music TheoryStalyllic
Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
Scale 2669Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
Scale 2861Scale 2861: Katothian, Ian Ring Music TheoryKatothian
Scale 2989Scale 2989: Bebop Minor, Ian Ring Music TheoryBebop Minor
Scale 2221Scale 2221: Raga Sindhura Kafi, Ian Ring Music TheoryRaga Sindhura Kafi
Scale 2477Scale 2477: Harmonic Minor, Ian Ring Music TheoryHarmonic Minor
Scale 3245Scale 3245: Mela Varunapriya, Ian Ring Music TheoryMela Varunapriya
Scale 3757Scale 3757: Raga Mian Ki Malhar, Ian Ring Music TheoryRaga Mian Ki Malhar
Scale 685Scale 685: Raga Suddha Bangala, Ian Ring Music TheoryRaga Suddha Bangala
Scale 1709Scale 1709: Dorian, Ian Ring Music TheoryDorian

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. Special thanks to Richard Repp for helping with technical accuracy.