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Scale 1747: "Mela Ramapriya"

Scale 1747: Mela Ramapriya, 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

Carnatic Mela
Mela Ramapriya
Carnatic Raga
Raga Ramamanohari
Exoticisms
Romanian Major
Named After Composers
Petrushka
Zeitler
Epalian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,4,6,7,9,10}
Forte Number7-31
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2413
Hemitonia3 (trihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes6
Prime?no
prime: 731
Deep Scaleno
Interval Vector336333
Interval Spectrump3m3n6s3d3t3
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9}
<6> = {9,10,11}
Spectra Variation1.714
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
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}331.8
F♯{6,10,1}331.8
A{9,1,4}431.6
Minor Triadsf♯m{6,9,1}331.7
am{9,0,4}331.7
Diminished Triadsc♯°{1,4,7}231.9
{4,7,10}232
f♯°{6,9,0}232
{7,10,1}232
a♯°{10,1,4}231.9
Parsimonious Voice Leading Between Common Triads of Scale 1747. Created by Ian Ring ©2019 C C c#° c#° C->c#° C->e° am am C->am A A c#°->A e°->g° f#° f#° f#m f#m f#°->f#m f#°->am F# F# f#m->F# f#m->A F#->g° a#° a#° F#->a#° am->A A->a#°

view full size

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 1747 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2921
Scale 2921: Pogian, Ian Ring Music TheoryPogian
3rd mode:
Scale 877
Scale 877: Moravian Pistalkova, Ian Ring Music TheoryMoravian Pistalkova
4th mode:
Scale 1243
Scale 1243: Epylian, Ian Ring Music TheoryEpylian
5th mode:
Scale 2669
Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
6th mode:
Scale 1691
Scale 1691: Kathian, Ian Ring Music TheoryKathian
7th mode:
Scale 2893
Scale 2893: Lylian, Ian Ring Music TheoryLylian

Prime

The prime form of this scale is Scale 731

Scale 731Scale 731: Ionorian, Ian Ring Music TheoryIonorian

Complement

The heptatonic modal family [1747, 2921, 877, 1243, 2669, 1691, 2893] (Forte: 7-31) is the complement of the pentatonic modal family [587, 601, 713, 1609, 2341] (Forte: 5-31)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1747 is 2413

Scale 2413Scale 2413: Locrian Natural 2, Ian Ring Music TheoryLocrian Natural 2

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1747 is chiral, and its enantiomorph is scale 2413

Scale 2413Scale 2413: Locrian Natural 2, Ian Ring Music TheoryLocrian Natural 2

Transformations:

T0 1747  T0I 2413
T1 3494  T1I 731
T2 2893  T2I 1462
T3 1691  T3I 2924
T4 3382  T4I 1753
T5 2669  T5I 3506
T6 1243  T6I 2917
T7 2486  T7I 1739
T8 877  T8I 3478
T9 1754  T9I 2861
T10 3508  T10I 1627
T11 2921  T11I 3254

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 1745Scale 1745: Raga Vutari, Ian Ring Music TheoryRaga Vutari
Scale 1749Scale 1749: Acoustic, Ian Ring Music TheoryAcoustic
Scale 1751Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
Scale 1755Scale 1755: Octatonic, Ian Ring Music TheoryOctatonic
Scale 1731Scale 1731, Ian Ring Music Theory
Scale 1739Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini
Scale 1763Scale 1763: Katalian, Ian Ring Music TheoryKatalian
Scale 1779Scale 1779: Zynyllic, Ian Ring Music TheoryZynyllic
Scale 1683Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam
Scale 1715Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1875Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale
Scale 2003Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic
Scale 1235Scale 1235: Messiaen Truncated Mode 2, Ian Ring Music TheoryMessiaen Truncated Mode 2
Scale 1491Scale 1491: Mela Namanarayani, Ian Ring Music TheoryMela Namanarayani
Scale 723Scale 723: Ionadimic, Ian Ring Music TheoryIonadimic
Scale 2771Scale 2771: Marva That, Ian Ring Music TheoryMarva That
Scale 3795Scale 3795: Epothyllic, Ian Ring Music TheoryEpothyllic

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.