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Scale 1707: "Dorian Flat 2"

Scale 1707: Dorian Flat 2, 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

Western Altered
Dorian Flat 2
Phrygian Sharp 6
Carnatic Mela
Mela Natakapriya
Jazz and Blues
Jazz Minor Inverse
Western Mixed
Phrygian-Mixolydian
Carnatic Raga
Raga Natabharanam
Unknown / Unsorted
Ahiri Todi
Indonesian
Javanese Pelog
Pelog
Zeitler
Mixolythian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,3,5,7,9,10}
Forte Number7-34
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes6
Prime?no
prime: 1371
Deep Scaleno
Interval Vector254442
Interval Spectrump4m4n4s5d2t2
Distribution Spectra<1> = {1,2}
<2> = {3,4}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {8,9}
<6> = {10,11}
Spectra Variation1.143
Maximally Evenno
Maximal Area Setyes
Interior Area2.665
Myhill Propertyno
Balancedno
Ridge Tones[10]
ProprietyProper
Heliotonicyes

Harmonic Chords

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}231.71
F{5,9,0}231.71
Minor Triadscm{0,3,7}231.71
a♯m{10,1,5}231.71
Augmented TriadsC♯+{1,5,9}231.71
Diminished Triadsg°{7,10,1}231.71
a°{9,0,3}231.71
Parsimonious Voice Leading Between Common Triads of Scale 1707. Created by Ian Ring ©2019 cm cm D# D# cm->D# a° a° cm->a° C#+ C#+ F F C#+->F a#m a#m C#+->a#m g° g° D#->g° F->a° g°->a#m

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
Radius3
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1707 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2901		Scale 2901: Lydian Augmented, Ian Ring Music TheoryLydian Augmented
3rd mode:
Scale 1749		Scale 1749: Acoustic, Ian Ring Music TheoryAcoustic
4th mode:
Scale 1461		Scale 1461: Major-Minor, Ian Ring Music TheoryMajor-Minor
5th mode:
Scale 1389		Scale 1389: Minor Locrian, Ian Ring Music TheoryMinor Locrian
6th mode:
Scale 1371		Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrianThis is the prime mode
7th mode:
Scale 2733		Scale 2733: Melodic Minor Ascending, Ian Ring Music TheoryMelodic Minor Ascending

Prime

The prime form of this scale is Scale 1371

Scale 1371Scale 1371: Superlocrian, Ian Ring Music TheorySuperlocrian

Complement

The heptatonic modal family [1707, 2901, 1749, 1461, 1389, 1371, 2733] (Forte: 7-34) is the complement of the pentatonic modal family [597, 681, 1173, 1317, 1353] (Forte: 5-34)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1707 is 2733

Scale 2733Scale 2733: Melodic Minor Ascending, Ian Ring Music TheoryMelodic Minor Ascending

Transformations:

T0 1707  T0I 2733
T1 3414  T1I 1371
T2 2733  T2I 2742
T3 1371  T3I 1389
T4 2742  T4I 2778
T5 1389  T5I 1461
T6 2778  T6I 2922
T7 1461  T7I 1749
T8 2922  T8I 3498
T9 1749  T9I 2901
T10 3498  T10I 1707
T11 2901  T11I 3414

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 1705Scale 1705: Raga Manohari, Ian Ring Music TheoryRaga Manohari
Scale 1709Scale 1709: Dorian, Ian Ring Music TheoryDorian
Scale 1711Scale 1711: Adonai Malakh, Ian Ring Music TheoryAdonai Malakh
Scale 1699Scale 1699: Raga Rasavali, Ian Ring Music TheoryRaga Rasavali
Scale 1703Scale 1703: Mela Vanaspati, Ian Ring Music TheoryMela Vanaspati
Scale 1715Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse
Scale 1723Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic
Scale 1675Scale 1675: Raga Salagavarali, Ian Ring Music TheoryRaga Salagavarali
Scale 1691Scale 1691: Kathian, Ian Ring Music TheoryKathian
Scale 1739Scale 1739: Mela Sadvidhamargini, Ian Ring Music TheoryMela Sadvidhamargini
Scale 1771Scale 1771, Ian Ring Music Theory
Scale 1579Scale 1579: Sagimic, Ian Ring Music TheorySagimic
Scale 1643Scale 1643: Locrian Natural 6, Ian Ring Music TheoryLocrian Natural 6
Scale 1835Scale 1835: Byptian, Ian Ring Music TheoryByptian
Scale 1963Scale 1963: Epocryllic, Ian Ring Music TheoryEpocryllic
Scale 1195Scale 1195: Raga Gandharavam, Ian Ring Music TheoryRaga Gandharavam
Scale 1451Scale 1451: Phrygian, Ian Ring Music TheoryPhrygian
Scale 683Scale 683: Stogimic, Ian Ring Music TheoryStogimic
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 3755Scale 3755: Phryryllic, Ian Ring Music TheoryPhryryllic

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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

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