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Overview of the Collection 

Creator:  Joseph Schillinger  
Title:  Joseph Schillinger Papers  
Inclusive Dates:  Date Not Yet Determined  
Quantity:  8 Linear Feet 8 linear feet 10 looseleaf notebooks 13 portfolios 18 loose, mounted photographs 12 wooden boxes 15 manila envelopes Five 16mm films in cases 2 boxes of slides 

Call Phrase:  Schillinger 
Joseph Schillinger was a composer and teacher of musical composition who combined the study of esthetics and the study of science in such theoretical writings as the Schillinger System of Musical Compositon and The Mathematical Basis of the Arts (1948).
He was a minor cubist painter. Born in Kharkov, Russia, Schillinger became an American citizen in 1936.
A large collection of materials which document the "basic laws of mathematical logic underlying all art structures." Primarily visual in nature, much of the collection was used in Schillinger's book The Mathematical Basis of the Arts.
The collection includes the following types of material: Sketches and notes in looseleaf binders, drawings, small paintings, collages, films (16 mm (b/w)), slides (b/w), and design studies on small cards (b/w, color).
Locations of additional Schillinger material are listed on accompanying sheet prepared by Mrs. Schillinger. The Inventory which follows is based on a 1966 inventory prepared by Mrs. Schillinger entitled "Schillinger Collection of Design and Kinetic Art."
The records are open for research and contain no restricted materials.
The Joseph Schillinger Papers are the physical property of The Museum of Modern Art. Literary rights, including copyright belong to the authors or their legal heirs and assigns. Rights to work produced during the normal course of Museum business resides with The Museum of Modern Art. For further information, and to obtain permission to publish or reproduce, contact the Museum Archivist.
Index Terms 

This collection is indexed under the following headings in DADABASE, the library catalog of The Museum of Modern Art. Researchers desiring materials about related topics, persons, or places should search the catalog using these headings.  
Persons and Organizations:  
Art and science.  
Composers.  
Joseph Schillinger  
Kinetic art.  
Mathematics.  
Schillinger, Joseph, 18951943.  
Subjects:  
Art and science.  
Composers.  
Kinetic art.  
Mathematics.  
Document Types:  
Collages.  
Drawings.  
Motion pictures.  
Paintings.  
Photoprints.  
Slides (photographs). 
Collection was purchased from Mrs. Joseph Schillinger, (340 East 57th Street/New York, NY 10022) in 1969 for the International Study Center at MoMA, and transferred to the Museum Archives at a later date. Dr. Anne Hanson was Director of the Center at the time.
Joseph Schillinger Papers, [series.folder]. The Museum of Modern Art Archives, New York.
Series A: Illustrations related to Mathematical Basis of the Arts 

Five folios containing a total of 285 plates, linear design, black on white. Some illustrated in Mathematical Basis of the Arts p. 284+ 

Folder  Title  
A.1  Periodicity of Dimensions: Sections AK 58 plates 

A.2  Periodicity of Angles: Sections AC 74 plates (plates 59132) 

A.3  Periodicity of Angles: Sections AF  
A.4  Periodicity of Angles: Sections AD  
A.5  Spirals: Sections AC 66 plates (plates 133198) 

A.6  Spirals: Sections AC  
A.7  Rhythmic Groups of Linear Designs: Sections AC 41 plates (plates 199239) 

A.8  Planes: Sections AD 46 plates (plates 240285) 


Series B: Miscellaneous Materials 

Two folios of miscellaneous materials 

Folder  Title  
B.1  Folio 1 1 red sketchbook 

B.2  Folio 2 21 preliminary pencil drawings 


Series C: Folio 3 

Folder  Title  
C.1  Folio 3 One very large portfolio with the following contents: 


Series D: Kinetic Series 1 

Two folios each containing 126 plates. White designs on black plates; 10"x 13". 

Folder  Title  
D.1  Kinetic Series  
D.2  Kinetic Series  

Series E: Kinetic Series 2 

315 plates; Colored designs (paint & collage) on black plates, 10"x 13" 26 series, labeled A to Z (in manila envelopes). 

Envelope  Title  
E.1  A, 112  
E.2  B, 112  
E.3  C, 128  
E.4  D, 124  
E.5  E, 124  
E.6  F, 112 (plate 1 missing) 

E.7  G, 112  
E.8  H, 14  
E.9  I, 18  
E.10  J, 124  
E.11  K, 18  
E.12  L, 14  
E.13  M, 16  
E.14  N, 16  
E.15  O, 14  
E.16  P, 124 (plate 6 missing) 

E.17  Q, 18  
E.18  R, 112  
E.19  S, 114  
E.20  T, 14  
E.21  U, 112  
E.22  V, 18  
E.23  W, 112  
E.24  X, 112  
E.25  Y, 14  
E.26  Z, 13 (6 plates present) 

E.27  Miscellaneous (4 plates) 


Series F: Kinetic Compositions on Film 

Reel  Title  
F.1  Kinetic Compositions on Film Five 16mm films housed in blue cases. Three of the films were made from "Elements of Kinetic Design"  see Series G below. 


Series G: Elements of Kinetic Design 

Twelve wooden boxes of designs, black on white and white on black, 4" x 5". 

Folder  Title  
G.1.A  Arcs: IXLIX 196 cards 

G.1.B  Arcs: IXLIX  
G.1.C  Arcs: IXLIX  
G.1.D  Arcs: IXLIX (black on white) 

G.2.A  Arcs: IXXV 50 cards 

G.2.B  Arcs: IXXV (white on black) 

G.3.A  Arcs: IXXV 50 cards 

G.3.B  Arcs: IXXV (white on black) 

G.4.A  Diagonals: IXLIX 197 cards 

G.4.B  Diagonals: IXLIX  
G.4.C  Diagonals: IXLIX  
G.4.D  Diagonals: IXLIX  
G.5.A  Diagonals: IXXV 50 cards 

G.5.B  Diagonals: IXXV (white on black) 

G.6.C  Diagonals: IXXV 50 cards 

G.6.D  Diagonals: IXXV (white on black) 

G.7  Experimental Kinetic Composition: No.1, Part I 337 cards 

G.8  Experimental Kinetic Composition: No.1, Part II (cards no. 200341) (missing 218,306,307,308,309) 

G.9.A  Linear Triangles and Plane Trianges: Part I 48 cards 

G.9.B  Linear Triangles and Plane Trianges: Part II Part II: Plane Triangles, nos 112, 112 

G.10.A  Kinetic Scale of Arcs  Consecutive Phases, Circles: Part I 16 cards 

G.10.B  Kinetic Scale of Arcs  Consecutive Phases, Circles: Part II 49 cards 

G.11.A  Permutations of Rectangular Triangles Through Quadrant Variations: Part I, combinations by 2 287 cards 

G.11.B  Permutations of Rectangular Triangles Through Quadrant Variations: Part II, combinations by 3  
G.11.C  Permutations of Rectangular Triangles Through Quadrant Variations: Part III, combinations by 4 (black on white) 

G.12.1  Miscellaneous  Section 1 19 designs on positive film 4" x 5" 

G.12.2  Miscellaneous  Section 2 4 designs onwhite background 

G.12.3  Miscellaneous  Section 3 2 designs on black background 

G.12.4  Miscellaneous  Section 4 108 linear designs placed in one envelope, all on white background 

G.12.5  Miscellaneous  Section 5 9 designs, linear, on tracing paper 


Series H: Design Notebooks 

Eight looseleaf notebooks 

Book  Title  
H.1  Angles and Arcs Unlimited area; 124 pages 

H.2  Angles and Arcs (area with limited boundaries) 79 pages 

H.3  Angles and Arcs (area with limited boundaries) 72 pages 

H.4  Radii Derived from Rhythmic Center 72 pages 

H.5  Book V: Radii Derived from Rhythmic Center 55 pages 

H.6.A  Illustrations to Theory of Linear Design: Monomial periodicity in scale development 99 pages 

H.6.B  Illustrations to Theory of Linear Design: Monomial periodicity of the Arcs of variable extent ions  
H.6.C  Illustrations to Theory of Linear Design: Composition of Angles and Arcs in an area with limited boundaries  
H.6.D  Illustrations to Theory of Linear Design: Variable Radii and Variable Arc Extensions  
H.6.E  Illustrations to Theory of Linear Design: Scales of Curvature  
H.6.F  Illustrations to Theory of Linear Design: Application of linear design to projection of planes and solids  
H.7.A  Radii derived from the Rhythmic center  
H.7.B  Circular Permutations through the Rhythm of area 52 pages 

H.8  Application of Linear Design to Projection of Planes and Solids 48 pages 


Series I: Miscellaneous Materials 

Folder  Title  
I.1  Part I: Miscellaneous Notes on the Mathematical Basis of the Arts 1 looseleaf note; 100 pages 

I.2  Part II: Miscellaneous Notes on Design (1 looseleaf note); 129 pages  

Series J: Removed Materials 

Folder  Title  
J.1  Removed Item This item was removed from collection by Mrs. Schillinger before sale to MoMA, see her letter of 11/4/68 


Series K: Glass Slides 

Folder  Title  
K.1  Glass Slides Two small cardboard boxes containing glass slides of linear designs; 74 slides 


Series L: Photographs 

Folder  Title  
L.1  Photographs Rhythmic design, multireflexion. 46 photos. One portfolio "Photos Landscapes" (28 photos). Eighteen loose, mounted photographs, 18"x 24" 

