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Scale 1745: "Raga Vutari"

Scale 1745: Raga Vutari, 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 Vutari
Zeitler
Manimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,6,7,9,10}
Forte Number6-Z23
Rotational Symmetrynone
Reflection Axes2
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
Myhill Propertyno
Balancedno
Ridge Tones[4]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1745 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 365
Scale 365: Marimic, Ian Ring Music TheoryMarimicThis is the prime mode
3rd mode:
Scale 1115
Scale 1115: Superlocrian Hexamirror, Ian Ring Music TheorySuperlocrian Hexamirror
4th mode:
Scale 2605
Scale 2605: Rylimic, Ian Ring Music TheoryRylimic
5th mode:
Scale 1675
Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali
6th mode:
Scale 2885
Scale 2885: Byrimic, Ian Ring Music TheoryByrimic

Prime

The prime form of this scale is Scale 365

Scale 365Scale 365: Marimic, Ian Ring Music TheoryMarimic

Complement

The hexatonic modal family [1745, 365, 1115, 2605, 1675, 2885] (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 1745 is 365

Scale 365Scale 365: Marimic, Ian Ring Music TheoryMarimic

Transformations:

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

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 1747Scale 1747: Mela Ramapriya, Ian Ring Music TheoryMela Ramapriya
Scale 1749Scale 1749: Acoustic, Ian Ring Music TheoryAcoustic
Scale 1753Scale 1753: Hungarian Major, Ian Ring Music TheoryHungarian Major
Scale 1729Scale 1729, Ian Ring Music Theory
Scale 1737Scale 1737: Raga Madhukauns, Ian Ring Music TheoryRaga Madhukauns
Scale 1761Scale 1761, Ian Ring Music Theory
Scale 1777Scale 1777: Saptian, Ian Ring Music TheorySaptian
Scale 1681Scale 1681: Raga Valaji, Ian Ring Music TheoryRaga Valaji
Scale 1713Scale 1713: Raga Khamas, Ian Ring Music TheoryRaga Khamas
Scale 1617Scale 1617: Phronitonic, Ian Ring Music TheoryPhronitonic
Scale 1873Scale 1873: Dathimic, Ian Ring Music TheoryDathimic
Scale 2001Scale 2001: Gydian, Ian Ring Music TheoryGydian
Scale 1233Scale 1233: Ionoditonic, Ian Ring Music TheoryIonoditonic
Scale 1489Scale 1489: Raga Jyoti, Ian Ring Music TheoryRaga Jyoti
Scale 721Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
Scale 2769Scale 2769: Dyrimic, Ian Ring Music TheoryDyrimic
Scale 3793Scale 3793: Aeopian, Ian Ring Music TheoryAeopian

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 (http://allthescales.org). Peruse this Bibliography.