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Scale 1611: "Dacrimic"

Scale 1611: Dacrimic, 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
Dacrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,6,9,10}
Forte Number6-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2637
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 603
Deep Scaleno
Interval Vector225222
Interval Spectrump2m2n5s2d2t2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5,6}
<3> = {4,5,6,7,8}
<4> = {6,7,8,9}
<5> = {9,10,11}
Spectra Variation2.333
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1611 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2853
Scale 2853: Baptimic, Ian Ring Music TheoryBaptimic
3rd mode:
Scale 1737
Scale 1737: Raga Madhukauns, Ian Ring Music TheoryRaga Madhukauns
4th mode:
Scale 729
Scale 729: Stygimic, Ian Ring Music TheoryStygimic
5th mode:
Scale 603
Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimicThis is the prime mode
6th mode:
Scale 2349
Scale 2349: Raga Ghantana, Ian Ring Music TheoryRaga Ghantana

Prime

The prime form of this scale is Scale 603

Scale 603Scale 603: Aeolygimic, Ian Ring Music TheoryAeolygimic

Complement

The hexatonic modal family [1611, 2853, 1737, 729, 603, 2349] (Forte: 6-27) is the complement of the hexatonic modal family [603, 729, 1611, 1737, 2349, 2853] (Forte: 6-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1611 is 2637

Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1611 is chiral, and its enantiomorph is scale 2637

Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani

Transformations:

T0 1611  T0I 2637
T1 3222  T1I 1179
T2 2349  T2I 2358
T3 603  T3I 621
T4 1206  T4I 1242
T5 2412  T5I 2484
T6 729  T6I 873
T7 1458  T7I 1746
T8 2916  T8I 3492
T9 1737  T9I 2889
T10 3474  T10I 1683
T11 2853  T11I 3366

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 1609Scale 1609: Thyritonic, Ian Ring Music TheoryThyritonic
Scale 1613Scale 1613: Thylimic, Ian Ring Music TheoryThylimic
Scale 1615Scale 1615: Sydian, Ian Ring Music TheorySydian
Scale 1603Scale 1603, Ian Ring Music Theory
Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic
Scale 1619Scale 1619: Prometheus Neapolitan, Ian Ring Music TheoryPrometheus Neapolitan
Scale 1627Scale 1627: Zyptian, Ian Ring Music TheoryZyptian
Scale 1643Scale 1643: Locrian Natural 6, Ian Ring Music TheoryLocrian Natural 6
Scale 1547Scale 1547, Ian Ring Music Theory
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 1675Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali
Scale 1739Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini
Scale 1867Scale 1867: Solian, Ian Ring Music TheorySolian
Scale 1099Scale 1099: Dyritonic, Ian Ring Music TheoryDyritonic
Scale 1355Scale 1355: Raga Bhavani, Ian Ring Music TheoryRaga Bhavani
Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic
Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic
Scale 3659Scale 3659: Polian, Ian Ring Music TheoryPolian

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.