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Scale 1595: "Dacrian"

Scale 1595: Dacrian, 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

Zeitler
Dacrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,4,5,9,10}
Forte Number7-Z38
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2957
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 439
Deep Scaleno
Interval Vector434442
Interval Spectrump4m4n4s3d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {8,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1595 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2845
Scale 2845: Baptian, Ian Ring Music TheoryBaptian
3rd mode:
Scale 1735
Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam
4th mode:
Scale 2915
Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian
5th mode:
Scale 3505
Scale 3505: Stygian, Ian Ring Music TheoryStygian
6th mode:
Scale 475
Scale 475: Aeolygian, Ian Ring Music TheoryAeolygian
7th mode:
Scale 2285
Scale 2285: Aerogian, Ian Ring Music TheoryAerogian

Prime

The prime form of this scale is Scale 439

Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian

Complement

The heptatonic modal family [1595, 2845, 1735, 2915, 3505, 475, 2285] (Forte: 7-Z38) is the complement of the pentatonic modal family [295, 625, 905, 2195, 3145] (Forte: 5-Z38)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1595 is 2957

Scale 2957Scale 2957: Thygian, Ian Ring Music TheoryThygian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1595 is chiral, and its enantiomorph is scale 2957

Scale 2957Scale 2957: Thygian, Ian Ring Music TheoryThygian

Transformations:

T0 1595  T0I 2957
T1 3190  T1I 1819
T2 2285  T2I 3638
T3 475  T3I 3181
T4 950  T4I 2267
T5 1900  T5I 439
T6 3800  T6I 878
T7 3505  T7I 1756
T8 2915  T8I 3512
T9 1735  T9I 2929
T10 3470  T10I 1763
T11 2845  T11I 3526

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 1593Scale 1593: Zogimic, Ian Ring Music TheoryZogimic
Scale 1597Scale 1597: Aeolodian, Ian Ring Music TheoryAeolodian
Scale 1599Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
Scale 1587Scale 1587: Raga Rudra Pancama, Ian Ring Music TheoryRaga Rudra Pancama
Scale 1591Scale 1591: Rodian, Ian Ring Music TheoryRodian
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 1563Scale 1563, Ian Ring Music Theory
Scale 1627Scale 1627: Zyptian, Ian Ring Music TheoryZyptian
Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
Scale 1723Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic
Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
Scale 1083Scale 1083, Ian Ring Music Theory
Scale 1339Scale 1339: Kycrian, Ian Ring Music TheoryKycrian
Scale 571Scale 571: Kynimic, Ian Ring Music TheoryKynimic
Scale 2619Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian
Scale 3643Scale 3643: Kydyllic, Ian Ring Music TheoryKydyllic

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.