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Scale 1671

Scale 1671, 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.

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).

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,7,9,10}
Forte Number6-Z11
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3117
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes5
Prime?no
prime: 183
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {4,5,7,8}
<4> = {5,6,9,10}
<5> = {7,10,11}
Spectra Variation3.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1671 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2883
Scale 2883, Ian Ring Music Theory
3rd mode:
Scale 3489
Scale 3489, Ian Ring Music Theory
4th mode:
Scale 237
Scale 237, Ian Ring Music Theory
5th mode:
Scale 1083
Scale 1083, Ian Ring Music Theory
6th mode:
Scale 2589
Scale 2589, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 183

Scale 183Scale 183, Ian Ring Music Theory

Complement

The hexatonic modal family [1671, 2883, 3489, 237, 1083, 2589] (Forte: 6-Z11) is the complement of the hexatonic modal family [303, 753, 1929, 2199, 3147, 3621] (Forte: 6-Z40)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1671 is 3117

Scale 3117Scale 3117, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1671 is chiral, and its enantiomorph is scale 3117

Scale 3117Scale 3117, Ian Ring Music Theory

Transformations:

T0 1671  T0I 3117
T1 3342  T1I 2139
T2 2589  T2I 183
T3 1083  T3I 366
T4 2166  T4I 732
T5 237  T5I 1464
T6 474  T6I 2928
T7 948  T7I 1761
T8 1896  T8I 3522
T9 3792  T9I 2949
T10 3489  T10I 1803
T11 2883  T11I 3606

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 1669Scale 1669: Raga Matha Kokila, Ian Ring Music TheoryRaga Matha Kokila
Scale 1667Scale 1667, Ian Ring Music Theory
Scale 1675Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali
Scale 1679Scale 1679: Kydian, Ian Ring Music TheoryKydian
Scale 1687Scale 1687: Phralian, Ian Ring Music TheoryPhralian
Scale 1703Scale 1703: Mela Vanaspati, Ian Ring Music TheoryMela Vanaspati
Scale 1735Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam
Scale 1543Scale 1543, Ian Ring Music Theory
Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
Scale 1799Scale 1799, Ian Ring Music Theory
Scale 1927Scale 1927, Ian Ring Music Theory
Scale 1159Scale 1159, Ian Ring Music Theory
Scale 1415Scale 1415, Ian Ring Music Theory
Scale 647Scale 647, Ian Ring Music Theory
Scale 2695Scale 2695, Ian Ring Music Theory
Scale 3719Scale 3719, Ian Ring Music Theory

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. Bibliography