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Scale 1675: "Raga Salagavarali"

Scale 1675: Raga Salagavarali, 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

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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 Raga
Raga Salagavarali
Zeitler
Epatimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,7,9,10}
Forte Number6-Z23
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 365
Deep Scaleno
Interval Vector234222
Interval Spectrump2m2n4s3d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {3,6}
<3> = {4,5,7,8}
<4> = {6,9}
<5> = {8,10,11}
Spectra Variation2.667
Maximally Evenno
Maximal Area Setno
Interior Area2.232
Myhill Propertyno
Balancedno
Ridge Tones[10]
ProprietyImproper
Heliotonicno

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 TriadsD♯{3,7,10}221
Minor Triadscm{0,3,7}221
Diminished Triads{7,10,1}131.5
{9,0,3}131.5
Parsimonious Voice Leading Between Common Triads of Scale 1675. Created by Ian Ring ©2019 cm cm D# D# cm->D# cm->a° D#->g°

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
Radius2
Self-Centeredno
Central Verticescm, D♯
Peripheral Verticesg°, a°

Modes

Modes are the rotational transformation of this scale. Scale 1675 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2885
Scale 2885: Byrimic, Ian Ring Music TheoryByrimic
3rd mode:
Scale 1745
Scale 1745: Raga Vutari, Ian Ring Music TheoryRaga Vutari
4th mode:
Scale 365
Scale 365: Marimic, Ian Ring Music TheoryMarimicThis is the prime mode
5th mode:
Scale 1115
Scale 1115: Superlocrian Hexamirror, Ian Ring Music TheorySuperlocrian Hexamirror
6th mode:
Scale 2605
Scale 2605: Rylimic, Ian Ring Music TheoryRylimic

Prime

The prime form of this scale is Scale 365

Scale 365Scale 365: Marimic, Ian Ring Music TheoryMarimic

Complement

The hexatonic modal family [1675, 2885, 1745, 365, 1115, 2605] (Forte: 6-Z23) is the complement of the hexatonic modal family [605, 745, 1175, 1865, 2635, 3365] (Forte: 6-Z45)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1675 is 2605

Scale 2605Scale 2605: Rylimic, Ian Ring Music TheoryRylimic

Transformations:

T0 1675  T0I 2605
T1 3350  T1I 1115
T2 2605  T2I 2230
T3 1115  T3I 365
T4 2230  T4I 730
T5 365  T5I 1460
T6 730  T6I 2920
T7 1460  T7I 1745
T8 2920  T8I 3490
T9 1745  T9I 2885
T10 3490  T10I 1675
T11 2885  T11I 3350

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 1673Scale 1673: Thocritonic, Ian Ring Music TheoryThocritonic
Scale 1677Scale 1677: Raga Manavi, Ian Ring Music TheoryRaga Manavi
Scale 1679Scale 1679: Kydian, Ian Ring Music TheoryKydian
Scale 1667Scale 1667, Ian Ring Music Theory
Scale 1671Scale 1671, Ian Ring Music Theory
Scale 1683Scale 1683: Raga Malayamarutam, Ian Ring Music TheoryRaga Malayamarutam
Scale 1691Scale 1691: Kathian, Ian Ring Music TheoryKathian
Scale 1707Scale 1707: Dorian Flat 2, Ian Ring Music TheoryDorian Flat 2
Scale 1739Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini
Scale 1547Scale 1547, Ian Ring Music Theory
Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic
Scale 1803Scale 1803, Ian Ring Music Theory
Scale 1931Scale 1931: Stogian, Ian Ring Music TheoryStogian
Scale 1163Scale 1163: Raga Rukmangi, Ian Ring Music TheoryRaga Rukmangi
Scale 1419Scale 1419: Raga Kashyapi, Ian Ring Music TheoryRaga Kashyapi
Scale 651Scale 651: Golitonic, Ian Ring Music TheoryGolitonic
Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic
Scale 3723Scale 3723: Myptian, Ian Ring Music TheoryMyptian

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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.