Historical tuning of keyboard instruments: theory and practice ; Pythagorean through equal temperament
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Briarcliff Manor, NY
Rising Mist Publ.
2006
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 71) and index |
| Physical Description: | X, 74 S. Ill., Notenbeisp. 28 cm |
| ISBN: | 096459191X |
Staff View
MARC
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| 245 | 1 | 0 | |a Historical tuning of keyboard instruments |b theory and practice ; Pythagorean through equal temperament |c Robert Chuckrow. Illustrated by the author |
| 264 | 1 | |a Briarcliff Manor, NY |b Rising Mist Publ. |c 2006 | |
| 300 | |a X, 74 S. |b Ill., Notenbeisp. |c 28 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 500 | |a Includes bibliographical references (p. 71) and index | ||
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| 650 | 4 | |a Keyboard instruments |x Tuning | |
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Record in the Search Index
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| adam_text | Contents
Foreword by
Edward
Foote
.........................................................................................................
iii
Acknowledgments
...........................................................................................................................
vii
Author s Background
.....................................................................................................................
vii
Author s Note
...................................................................................................................................
vii
Introduction
........................................................................................................................................ix
1.
About Vibrations
...................................................................................................................1
1.1.
Vibratory Motion
1.2.
Harmonics
1.3.
Conventional Symbols
1.4.
Notation Conventions
1.5.
How to Demonstrate the Harmonics of a Vibrating String and Hear its
Harmonics
1.6.
Demonstrating the Frequency Relationships of the Harmonics of a
Vibrating String
1.7.
Historical Conjecture
1.8.
Possible Origin of the Scale
1.9.
Beats
1.10.
Beats of Harmonics
1.11.
A Theorem about Intervals
1.12.
The Ear and Harmony
1.13.
The Stretching of Octaves
2.
The Pythagorean System of Tuning
......................................................................13
2.1.
Pentatonic Scale
2.2.
Diatonic Scale
2.3.
Chromatic Scale: Sharps, Flats, and the Pattern of the Modern Keyboard
2.4.
The Comma of Pythagoras
2.5.
Double Sharps and Double Flats
2.6.
The Syntonic Comma
2.7.
Beat Rates of Pythagorean Intervals
3.
Tuning the Pythagorean Scale
...................................................................................20
4.
Just Tuning
...............................................................................................................................24
4.1.
Construction of the Just Scale
4.2.
Limitations of the Just Scale
4.3.
Tuning the Naturals of the Just Temperament Octave
4.4.
Tuning the Just Sharps and Flats
5.
Equal Temperament
..........................................................................................................28
5.1.
The Basic Relationship for Intervals Tuned in Equal Temperament
5.2.
Tuning the Temperament Octave in Equal Temperament
6.
Intervals, Cents,
and Commas
.................................................................................32
6.1.
Cents
6.2.
Standard
Commas
6.3.
A Theorem About Intervals
6.4.
Comma Notation
6.5.
Calculating Frequency Ratios from Comma Notation
6.6. Monochord
Notation
7.
Meantone Temperament
...............................................................................................40
7.1.
Construction of the Meantone Scale
7.2.
The Meantone Scale in Comma Notation
7.3.
Tuning the Naturals of the Temperament Octave in Meantone
7.4.
Tuning the Meantone Sharps and Flats
7.5.
Comparison of the Meantone Sharps and Flats
7.6.
Using Meantone to Play Pre-Bach Works and Some Works of Bach
7.7.
Listening to Meantone with an Open Mind
8.
Well Temperament
.............................................................................................................49
8.1.
The Basic Problem of Tuning and a Summary of the Different
Philosophies of its Solution
8.2.
The 1/4-Syntonic Comma Well Temperament
8.3.
Tuning the Aron-Neidhardt 1/4-Syntonic Comma Well Temperament
8.4.
A Temperament Likely Used by Bach: l/S-Pythagorean-Comma Well
Temperament
8.5.
The System of Well Temperament Likely Used in Bach s Das
Wohltemperirte Clavier
8.6.
Tuning the Well Temperament Likely Used in Bach s Das
Wohltemperirte Clavier
8.7.
Other Well Temperaments
8.8.
InClosing
Appendix
...........................................................................................................................................62
A.I. Tuning a Guitar in Equal Temperament Using Harmonics
A.2. Method of Muting for Piano Tuning
A.3. Comparisons of the Different Tuning Systems
A.4. Derivation of the Approximation for Calculating Cents
A.
5.
Keyboard Worksheet
A.6. Addresses of Piano-Supply Houses
Bibliography
..................................................................................................................................71
Answers to Some Exercises
...............................................................................................72
Index
....................................................................................................................................................73
11
|
| adam_txt |
Contents
Foreword by
Edward
Foote
.
iii
Acknowledgments
.
vii
Author's Background
.
vii
Author's Note
.
vii
Introduction
.ix
1.
About Vibrations
.1
1.1.
Vibratory Motion
1.2.
Harmonics
1.3.
Conventional Symbols
1.4.
Notation Conventions
1.5.
How to Demonstrate the Harmonics of a Vibrating String and Hear its
Harmonics
1.6.
Demonstrating the Frequency Relationships of the Harmonics of a
Vibrating String
1.7.
Historical Conjecture
1.8.
Possible Origin of the Scale
1.9.
Beats
1.10.
Beats of Harmonics
1.11.
A Theorem about Intervals
1.12.
The Ear and Harmony
1.13.
The Stretching of Octaves
2.
The Pythagorean System of Tuning
.13
2.1.
Pentatonic Scale
2.2.
Diatonic Scale
2.3.
Chromatic Scale: Sharps, Flats, and the Pattern of the Modern Keyboard
2.4.
The Comma of Pythagoras
2.5.
Double Sharps and Double Flats
2.6.
The Syntonic Comma
2.7.
Beat Rates of Pythagorean Intervals
3.
Tuning the Pythagorean Scale
.20
4.
Just Tuning
.24
4.1.
Construction of the Just Scale
4.2.
Limitations of the Just Scale
4.3.
Tuning the Naturals of the Just Temperament Octave
4.4.
Tuning the Just Sharps and Flats
5.
Equal Temperament
.28
5.1.
The Basic Relationship for Intervals Tuned in Equal Temperament
5.2.
Tuning the Temperament Octave in Equal Temperament
6.
Intervals, Cents,
and Commas
.32
6.1.
Cents
6.2.
Standard
Commas
6.3.
A Theorem About Intervals
6.4.
Comma Notation
6.5.
Calculating Frequency Ratios from Comma Notation
6.6. Monochord
Notation
7.
Meantone Temperament
.40
7.1.
Construction of the Meantone Scale
7.2.
The Meantone Scale in Comma Notation
7.3.
Tuning the Naturals of the Temperament Octave in Meantone
7.4.
Tuning the Meantone Sharps and Flats
7.5.
Comparison of the Meantone Sharps and Flats
7.6.
Using Meantone to Play Pre-Bach Works and Some Works of Bach
7.7.
Listening to Meantone with an Open Mind
8.
Well Temperament
.49
8.1.
The Basic Problem of Tuning and a Summary of the Different
Philosophies of its Solution
8.2.
The 1/4-Syntonic Comma Well Temperament
8.3.
Tuning the Aron-Neidhardt 1/4-Syntonic Comma Well Temperament
8.4.
A Temperament Likely Used by Bach: l/S-Pythagorean-Comma Well
Temperament
8.5.
The System of Well Temperament Likely Used in Bach's Das
Wohltemperirte Clavier
8.6.
Tuning the Well Temperament Likely Used in Bach's Das
Wohltemperirte Clavier
8.7.
Other Well Temperaments
8.8.
InClosing
Appendix
.62
A.I. Tuning a Guitar in Equal Temperament Using Harmonics
A.2. Method of Muting for Piano Tuning
A.3. Comparisons of the Different Tuning Systems
A.4. Derivation of the Approximation for Calculating Cents
A.
5.
Keyboard Worksheet
A.6. Addresses of Piano-Supply Houses
Bibliography
.71
Answers to Some Exercises
.72
Index
.73
11 |
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| isbn | 096459191X |
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| spelling | Chuckrow, Robert Verfasser aut Historical tuning of keyboard instruments theory and practice ; Pythagorean through equal temperament Robert Chuckrow. Illustrated by the author Briarcliff Manor, NY Rising Mist Publ. 2006 X, 74 S. Ill., Notenbeisp. 28 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. 71) and index Geschichte gnd rswk-swf Keyboard instruments Tuning Musical temperament Stimmung Musik (DE-588)4122368-8 gnd rswk-swf Tasteninstrument (DE-588)4059103-7 gnd rswk-swf Tasteninstrument (DE-588)4059103-7 s Stimmung Musik (DE-588)4122368-8 s Geschichte z DE-604 Digitalisierung BSBMuenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016264387&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chuckrow, Robert Historical tuning of keyboard instruments theory and practice ; Pythagorean through equal temperament Keyboard instruments Tuning Musical temperament Stimmung Musik (DE-588)4122368-8 gnd Tasteninstrument (DE-588)4059103-7 gnd |
| subject_GND | (DE-588)4122368-8 (DE-588)4059103-7 |
| title | Historical tuning of keyboard instruments theory and practice ; Pythagorean through equal temperament |
| title_auth | Historical tuning of keyboard instruments theory and practice ; Pythagorean through equal temperament |
| title_exact_search | Historical tuning of keyboard instruments theory and practice ; Pythagorean through equal temperament |
| title_exact_search_txtP | Historical tuning of keyboard instruments theory and practice ; Pythagorean through equal temperament |
| title_full | Historical tuning of keyboard instruments theory and practice ; Pythagorean through equal temperament Robert Chuckrow. Illustrated by the author |
| title_fullStr | Historical tuning of keyboard instruments theory and practice ; Pythagorean through equal temperament Robert Chuckrow. Illustrated by the author |
| title_full_unstemmed | Historical tuning of keyboard instruments theory and practice ; Pythagorean through equal temperament Robert Chuckrow. Illustrated by the author |
| title_short | Historical tuning of keyboard instruments |
| title_sort | historical tuning of keyboard instruments theory and practice pythagorean through equal temperament |
| title_sub | theory and practice ; Pythagorean through equal temperament |
| topic | Keyboard instruments Tuning Musical temperament Stimmung Musik (DE-588)4122368-8 gnd Tasteninstrument (DE-588)4059103-7 gnd |
| topic_facet | Keyboard instruments Tuning Musical temperament Stimmung Musik Tasteninstrument |
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