The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1711: "Adonai Malakh"

Scale 1711: Adonai Malakh, 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

Jewish
Adonai Malakh
Exoticisms
Jewish
Spanish Octamode
Zeitler
Ragyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,3,5,7,9,10}
Forte Number8-22
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3757
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections2
Modes7
Prime?no
prime: 1391
Deep Scaleno
Interval Vector465562
Interval Spectrump6m5n5s6d4t2
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,6,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.75
Maximally Evenno
Maximal Area Setyes
Interior Area2.732
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

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}242.1
F{5,9,0}242.1
A♯{10,2,5}341.9
Minor Triadscm{0,3,7}242.3
dm{2,5,9}242.1
gm{7,10,2}341.9
a♯m{10,1,5}341.9
Augmented TriadsC♯+{1,5,9}341.9
Diminished Triads{7,10,1}242.1
{9,0,3}242.3
Parsimonious Voice Leading Between Common Triads of Scale 1711. Created by Ian Ring ©2019 cm cm D# D# cm->D# cm->a° C#+ C#+ dm dm C#+->dm F F C#+->F a#m a#m C#+->a#m A# A# dm->A# gm gm D#->gm F->a° g°->gm g°->a#m gm->A# a#m->A#

view full size

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.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1711 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2903
Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic
3rd mode:
Scale 3499
Scale 3499: Hamel, Ian Ring Music TheoryHamel
4th mode:
Scale 3797
Scale 3797: Rocryllic, Ian Ring Music TheoryRocryllic
5th mode:
Scale 1973
Scale 1973: Zyryllic, Ian Ring Music TheoryZyryllic
6th mode:
Scale 1517
Scale 1517: Sagyllic, Ian Ring Music TheorySagyllic
7th mode:
Scale 1403
Scale 1403: Espla's Scale, Ian Ring Music TheoryEspla's Scale
8th mode:
Scale 2749
Scale 2749: Katagyllic, Ian Ring Music TheoryKatagyllic

Prime

The prime form of this scale is Scale 1391

Scale 1391Scale 1391: Aeradyllic, Ian Ring Music TheoryAeradyllic

Complement

The octatonic modal family [1711, 2903, 3499, 3797, 1973, 1517, 1403, 2749] (Forte: 8-22) is the complement of the tetratonic modal family [149, 673, 1061, 1289] (Forte: 4-22)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1711 is 3757

Scale 3757Scale 3757: Raga Mian Ki Malhar, Ian Ring Music TheoryRaga Mian Ki Malhar

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1711 is chiral, and its enantiomorph is scale 3757

Scale 3757Scale 3757: Raga Mian Ki Malhar, Ian Ring Music TheoryRaga Mian Ki Malhar

Transformations:

T0 1711  T0I 3757
T1 3422  T1I 3419
T2 2749  T2I 2743
T3 1403  T3I 1391
T4 2806  T4I 2782
T5 1517  T5I 1469
T6 3034  T6I 2938
T7 1973  T7I 1781
T8 3946  T8I 3562
T9 3797  T9I 3029
T10 3499  T10I 1963
T11 2903  T11I 3926

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 1709Scale 1709: Dorian, Ian Ring Music TheoryDorian
Scale 1707Scale 1707: Dorian Flat 2, Ian Ring Music TheoryDorian Flat 2
Scale 1703Scale 1703: Mela Vanaspati, Ian Ring Music TheoryMela Vanaspati
Scale 1719Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic
Scale 1727Scale 1727: Sydygic, Ian Ring Music TheorySydygic
Scale 1679Scale 1679: Kydian, Ian Ring Music TheoryKydian
Scale 1695Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic
Scale 1743Scale 1743: Epigyllic, Ian Ring Music TheoryEpigyllic
Scale 1775Scale 1775: Lyrygic, Ian Ring Music TheoryLyrygic
Scale 1583Scale 1583: Salian, Ian Ring Music TheorySalian
Scale 1647Scale 1647: Polyllic, Ian Ring Music TheoryPolyllic
Scale 1839Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic
Scale 1967Scale 1967: Diatonic Dorian Mixed, Ian Ring Music TheoryDiatonic Dorian Mixed
Scale 1199Scale 1199: Magian, Ian Ring Music TheoryMagian
Scale 1455Scale 1455: Phrygiolian, Ian Ring Music TheoryPhrygiolian
Scale 687Scale 687: Aeolythian, Ian Ring Music TheoryAeolythian
Scale 2735Scale 2735: Gynyllic, Ian Ring Music TheoryGynyllic
Scale 3759Scale 3759: Darygic, Ian Ring Music TheoryDarygic

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