Interpreting the Mensural Notation of Music: An Expert System Based on the Theory of Johannes Tinctoris

解读音乐记谱法:基于约翰内斯·丁克托里斯理论的专家系统

基本信息

  • 批准号:
    AH/P013910/1
  • 负责人:
  • 金额:
    $ 87.12万
  • 依托单位:
  • 依托单位国家:
    英国
  • 项目类别:
    Research Grant
  • 财政年份:
    2017
  • 资助国家:
    英国
  • 起止时间:
    2017 至 无数据
  • 项目状态:
    已结题

项目摘要

This innovative project addresses a central issue confronting those who work with musical sources from the early fourteenth to the early seventeenth century, whether as editors, analysts, or performers. The 'mensural' system of rhythmic notation, then prevalent, was highly contextual; unlike modern 'common-practice' notation, in which all notes are divisible only by two (with well-defined exceptions called 'tuplets') and are therefore definite in duration, many notes in mensural notation could be divided either by two or by three without visual distinction, and their durations were subject to further conventional manipulation according to their context. We will construct an online software expert system, modelling the teachings of one of the foremost fifteenth-century music theorists, Johannes Tinctoris (c.1435-1511), that will take files in uninterpreted mensural notation as input and output them in terms of definite durations. Tinctoris's theory lends itself to such treatment by virtue of his rigorous method and intention to instantiate his rules exhaustively. The proposed system is one natural outgrowth of the online critical edition of Tinctoris's writings produced by the same project team (http://earlymusictheory.org/Tinctoris). Results may be output in a variety of formats: original mensural notation or common-practice notation, score or separate parts. Our system will accept the input of uninterpreted mensural notation produced by other projects; our interpreted output will be available to analytical software developed by still others.We will use machine-learning techniques to improve the system's performance. This will involve training with a graded series of pieces of actual fifteenth-century music: (1) all the music examples Tinctoris composed to illustrate his treatises on mensural notation and counterpoint; (2) all Tinctoris's practical compositions, for which we will produce a new critical edition; (3) selected works of two composers Tinctoris regarded highly, Guillaume du Fay and Antoine Busnoys, whose music was composed with somewhat different notational conventions from those articulated by Tinctoris. We expect the system to be able to interpret the notation of nearly all music from between the early fifteenth century and the early seventeenth (the fourteenth century presents variants we should not have time to address).Students of late-medieval and early-modern music nowadays are less well versed than formerly in the complexities of mensural notation, while at the same time more and more musicians are interested in performing such music from facsimiles of the original sources. Accordingly, we will develop a new online interactive learning tool, with which students, performers, or others can practise the cognitive processes involved in interpreting mensural notation. The tool will present progressive exercises together with target results and a mechanism for annotation, and will be able to give feedback on progress and to offer hints.We expect the development of our software system to generate unpredictable historical discoveries concerning the completeness of Tinctoris's theory and its relation to the wider practice of his time. We will communicate these in the form of standard academic publications. An especially valuable aspect of the project will be a series of public workshops in Birmingham, Oxford, and London, forming a progressive introduction to the software learning tool as it evolves. Principal beneficiaries of this project will include all those involved in the performance, editing, and scholarship of late-medieval and early-modern musical repertories. For all users a much heightened and enriched awareness of the implications of the original, complex notations will be raised, and a highly innovative, practical tool made available to assist with the learning process, as well as to enable the production of new user-led editions of works from this pivotal period of western European music.
这个创新的项目解决了一个中心问题,面对那些谁的工作与音乐来源从早期的十四至十七世纪,无论是作为编辑,分析师,或表演。当时流行的节奏记谱法的“定量”系统是高度语境化的;不像现代的“通用”记谱法,所有的音符只能被2整除(有明确定义的例外称为“二重奏”),因此在持续时间上是确定的,许多音符在定量记谱法中可以分为两个或三个,没有视觉上的区别,并且它们的持续时间根据它们的上下文受到进一步的常规操纵。我们将构建一个在线软件专家系统,模拟15世纪最重要的音乐理论家之一约翰内斯·廷克夫(Johannes Tincket,c.1435-1511)的教导,该系统将以未解释的定量符号作为输入文件,并以确定的持续时间输出它们。廷克夫的理论适合于这样的治疗凭借他的严格的方法和意图,以详尽地实例化他的规则。拟议中的系统是由同一个项目小组(http://earlymusictheory.org/Tincobalt)制作的Tincobalt著作在线评论版的自然产物。结果可以以多种格式输出:原始定量符号或常用符号,分数或单独部分。我们的系统将接受其他项目产生的未解释的定量符号的输入;我们的解释输出将可用于其他项目开发的分析软件。我们将使用机器学习技术来提高系统的性能。这将涉及训练与一系列实际的15世纪的音乐作品的分级:(1)所有的音乐例子,丁格尔组成,以说明他的论文定量记谱法和对位法;(2)所有丁格尔的实际组成,我们将产生一个新的评论版;(3)两个作曲家廷克塞高度评价的作品,纪尧姆杜费和安托万Busnoys,他的音乐与廷克夫的音乐有着不同的记谱惯例。我们希望这个系统能够解释世纪早期到17世纪早期之间几乎所有音乐的记谱法(世纪出现了一些变体,我们没有时间来讨论)。如今研究中世纪晚期和现代早期音乐的学生不像以前那样精通定量记谱法的复杂性,同时,越来越多的音乐家对表演这些来自原始来源的复制品的音乐感兴趣。因此,我们将开发一个新的在线互动学习工具,学生,表演者,或其他人可以练习参与解释定量符号的认知过程。该工具将呈现渐进式练习以及目标结果和注释机制,并能够提供进度反馈和提示。我们希望我们的软件系统的发展能够产生关于廷克塞理论完整性及其与他那个时代更广泛实践的关系的不可预测的历史发现。我们将以标准学术出版物的形式传达这些信息。该项目的一个特别有价值的方面是在伯明翰、牛津和伦敦举办的一系列公共研讨会,随着软件学习工具的发展,逐步介绍软件学习工具。该项目的主要受益者将包括所有参与中世纪晚期和现代早期音乐剧目的表演,编辑和学术研究的人员。对于所有用户来说,将提高对原始复杂符号含义的高度和丰富的认识,并提供一个高度创新的实用工具,以帮助学习过程,并使西欧音乐这一关键时期的作品的新用户主导版本得以制作。

项目成果

期刊论文数量(10)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Antoine Busnoys: Selected works
安托万·布斯努伊斯:作品选
  • DOI:
  • 发表时间:
    2022
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Busnoys, A.
  • 通讯作者:
    Busnoys, A.
Against the odds: pandemic early choral music
克服困难:流行的早期合唱音乐
  • DOI:
    10.1093/em/caab055
  • 发表时间:
    2021
  • 期刊:
  • 影响因子:
    0.3
  • 作者:
    Goursaud C
  • 通讯作者:
    Goursaud C
Johannes Tinctoris and Music Theory in the Late Fifteenth Century: Essays and Studies
约翰内斯·丁克托里斯和十五世纪后期的音乐理论:论文和研究
  • DOI:
  • 发表时间:
    2020
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Goursaud C
  • 通讯作者:
    Goursaud C
MeRIT: An interactive annotation tool for mensural rhythms
MeRIT:月经节律的交互式注释工具
  • DOI:
    10.1145/3543882.3543888
  • 发表时间:
    2022
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Plaksin A
  • 通讯作者:
    Plaksin A
Modelle zur computergestützten Analyse von Überlieferungen der Mensuralmusik : Empirische Textforschung im Kontext phylogenetischer Verfahren
计算机化的模型对音乐音乐的分析:在上下文系统发育中的经验文本研究
  • DOI:
  • 发表时间:
    2021
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Plaksin, Anna Viktoria Katrin
  • 通讯作者:
    Plaksin, Anna Viktoria Katrin
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Jeffrey Dean其他文献

Comparison of Enamel Matrix Derivative Versus Formocresol as Pulpotomy Agents in the Primary Dentition
  • DOI:
    10.1016/j.joen.2007.12.002
  • 发表时间:
    2008-03-01
  • 期刊:
  • 影响因子:
  • 作者:
    Jumana Sabbarini;Ahmed Mohamed;Nadia Wahba;Omar El-Meligy;Jeffrey Dean
  • 通讯作者:
    Jeffrey Dean
Gemini 1.5: Unlocking multimodal understanding across millions of tokens of context
Gemini 1.5:解锁跨数百万个上下文标记的多模式理解
  • DOI:
    10.48550/arxiv.2403.05530
  • 发表时间:
    2024
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Machel Reid;Nikolay Savinov;Denis Teplyashin;Dmitry Lepikhin;T. Lillicrap;Jean;Radu Soricut;Angeliki Lazaridou;Orhan Firat;Julian Schrittwieser;Ioannis Antonoglou;Rohan Anil;Sebastian Borgeaud;Andrew M. Dai;Katie Millican;Ethan Dyer;Mia Glaese;Thibault Sottiaux;Benjamin Lee;Fabio Viola;Malcolm Reynolds;Yuanzhong Xu;James Molloy;Jilin Chen;M. Isard;Paul Barham;Tom Hennigan;Ross McIlroy;Melvin Johnson;J. Schalkwyk;Eli Collins;Eliza Rutherford;Erica Moreira;Kareem W. Ayoub;Megha Goel;Clemens Meyer;Gregory Thornton;Zhen Yang;H. Michalewski;Zaheer Abbas;Nathan Schucher;Ankesh Anand;Richard Ives;James Keeling;Karel Lenc;Salem Haykal;Siamak Shakeri;Pranav Shyam;Aakanksha Chowdhery;Roman Ring;Stephen Spencer;Eren Sezener;Luke Vilnis;Oscar Chang;Nobuyuki Morioka;George Tucker;Ce Zheng;Oliver Woodman;Nithya Attaluri;Tomás Kociský;Evgenii Eltyshev;Xi Chen;Timothy Chung;Vittorio Selo;Siddhartha Brahma;Petko Georgiev;Ambrose Slone;Zhenkai Zhu;James Lottes;Siyuan Qiao;Ben Caine;Sebastian Riedel;Alex Tomala;Martin Chadwick;J Christopher Love;Peter Choy;Sid Mittal;N. Houlsby;Yunhao Tang;Matthew Lamm;Libin Bai;Qiao Zhang;Luheng He;Yong Cheng;Peter Humphreys;Yujia Li;Sergey Brin;Albin Cassirer;Ying;Lukás Zilka;Taylor Tobin;Kelvin Xu;Lev Proleev;Daniel Sohn;Alberto Magni;Lisa Anne Hendricks;Isabel Gao;Santiago Ontan'on;Oskar Bunyan;Nathan Byrd;Abhanshu Sharma;Biao Zhang;Mario Pinto;Rishika Sinha;Harsh Mehta;Dawei Jia;Sergi Caelles;Albert Webson;Alex Morris;Becca Roelofs;Yifan Ding;Robin Strudel;Xuehan Xiong;Marvin Ritter;Mostafa Dehghani;Rahma Chaabouni;Abhijit Karmarkar;Guangda Lai;Fabian Mentzer;Bibo Xu;YaGuang Li;Yujing Zhang;T. Paine;Alex Goldin;Behnam Neyshabur;Kate Baumli;Anselm Levskaya;Michael Laskin;Wenhao Jia;Jack W. Rae;Kefan Xiao;Antoine He;Skye Giordano;Lakshman Yagati;Jean;Paul Natsev;Sanjay Ganapathy;Fangyu Liu;Danilo Martins;Nanxin Chen;Yunhan Xu;Megan Barnes;Rhys May;Arpi Vezer;Junhyuk Oh;Ken Franko;Sophie Bridgers;Ruizhe Zhao;Boxi Wu;Basil Mustafa;Sean Sechrist;Emilio Parisotto;Thanumalayan Sankaranarayana Pillai;Chris Larkin;Chenjie Gu;Christina Sorokin;M. Krikun;Alexey Guseynov;Jessica Landon;Romina Datta;A. Pritzel;Phoebe Thacker;Fan Yang;Kevin Hui;A.E. Hauth;Chih;David Barker;J. Mao;Sophia Austin;Hannah Sheahan;Parker Schuh;James Svensson;Rohan Jain;V. Ramasesh;Anton Briukhov;Da;Tamara von Glehn;Christina Butterfield;Priya Jhakra;Matt Wiethoff;Justin Frye;Jordan Grimstad;Beer Changpinyo;Charline Le Lan;Anna Bortsova;Yonghui Wu;P. Voigtlaender;Tara N. Sainath;Charlotte Smith;Will Hawkins;Kris Cao;James Besley;S. Srinivasan;Mark Omernick;Colin Gaffney;G. Surita;Ryan Burnell;Bogdan Damoc;Junwhan Ahn;Andrew Brock;Mantas Pajarskas;Anastasia Petrushkina;Seb Noury;Lorenzo Blanco;Kevin Swersky;Arun Ahuja;Thi Avrahami;Vedant Misra;Raoul de Liedekerke;Mariko Iinuma;A. Polozov;Sarah York;George van den Driessche;Paul Michel;Justin Chiu;Rory Blevins;Zach Gleicher;Adrià Recasens;Alban Rrustemi;E. Gribovskaya;Aurko Roy;Wiktor Gworek;S'ebastien M. R. Arnold;Lisa Lee;James Lee;Marcello Maggioni;Enrique Piqueras;Kartikeya Badola;S. Vikram;Lucas Gonzalez;Anirudh Baddepudi;Evan Senter;J. Devlin;James Qin;Michael Azzam;Maja Trebacz;M. Polacek;Kashyap Krishnakumar;Shuo;Matthew Tung;Ivo Penchev;Rishabh Joshi;Kate Olszewska;Carrie Muir;Mateo Wirth;Ale Jakse Hartman;Joshua Newlan;S. Kashem;Vijay Bolina;Elahe Dabir;Joost R. van Amersfoort;Zafarali Ahmed;James Cobon;Aishwarya B Kamath;A. M. Hrafnkelsson;Le Hou;Ian Mackinnon;Alexandre Frechette;Eric Noland;Xiance Si;E. Taropa;Dong Li;Phil Crone;Anmol Gulati;S'ebastien Cevey;Jonas Adler;Ada Ma;David Silver;Simon Tokumine;Richard Powell;Stephan Lee;Michael B. Chang;Samer Hassan;Diana Mincu;Antoine Yang;Nir Levine;Jenny Brennan;Mingqiu Wang;Sarah Hodkinson;Jeffrey Zhao;Josh Lipschultz;Aedan Pope;Michael B. Chang;Cheng Li;Laurent El Shafey;M. Paganini;Sholto Douglas;Bernd Bohnet;Fabio Pardo;Seth Odoom;Mihaela Rosca;Cicero Nogueira dos Santos;Kedar Soparkar;A. Guez;Tom Hudson;Steven Hansen;Chulayuth Asawaroengchai;Ravichandra Addanki;Tianhe Yu;Wojciech Stokowiec;Mina Khan;Justin Gilmer;Jaehoon Lee;Carrie Grimes Bostock;Keran Rong;Jonathan Caton;Pedram Pejman;Filip Pavetic;Geoff Brown;Vivek Sharma;Mario Luvci'c;Rajkumar Samuel;Josip Djolonga;Amol Mandhane;Lars Lowe Sjosund;Elena Buchatskaya;Elspeth White;Natalie Clay;Jiepu Jiang;Hyeontaek Lim;Ross Hemsley;Jane Labanowski;Nicola De Cao;David Steiner;Sayed Hadi Hashemi;Jacob Austin;Anita Gergely;Tim Blyth;Joe Stanton;K. Shivakumar;Aditya Siddhant;Anders Andreassen;Carlos L. Araya;Nikhil Sethi;Rakesh Shivanna;Steven Hand;Ankur Bapna;A. Khodaei;Antoine Miech;Garrett Tanzer;Andy Swing;S. Thakoor;Zhufeng Pan;Zachary Nado;Stephanie Winkler;Dian Yu;Mohammad Saleh;Lorenzo Maggiore;Iain Barr;Minh Giang;Thais Kagohara;Ivo Danihelka;Amit Marathe;Vladimir Feinberg;Mohamed Elhawaty;Nimesh Ghelani;Dan Horgan;Helen Miller;Lexi Walker;Richard Tanburn;Mukarram Tariq;Disha Shrivastava;Fei Xia;Chung;Zoe C. Ashwood;Khuslen Baatarsukh;Sina Samangooei;Fred Alcober;Axel Stjerngren;P. Komarek;Katerina Tsihlas;Anudhyan Boral;Ramona Comanescu;Jeremy Chen;Ruibo Liu;Dawn Bloxwich;Charlie Chen;Yanhua Sun;Fangxiaoyu Feng;M. Mauger;Xerxes Dotiwalla;V. Hellendoorn;Michael Sharman;Ivy Zheng;Krishna Haridasan;Gabriel Barth;Craig Swanson;Dominika Rogozi'nska;Alek Andreev;P. Rubenstein;Ruoxin Sang;Dan Hurt;Gamaleldin Elsayed;Ren;Dave Lacey;Anastasija Ili'c;Yao Zhao;Lora Aroyo;Chimezie Iwuanyanwu;Vitaly Nikolaev;Balaji Lakshminarayanan;Sadegh Jazayeri;Raphael Lopez Kaufman;Mani Varadarajan;Chetan Tekur;Doug Fritz;Misha Khalman;David Reitter;Kingshuk Dasgupta;Shourya Sarcar;T. Ornduff;Javier Snaider;Fantine Huot;Johnson Jia;Rupert Kemp;Nejc Trdin;Anitha Vijayakumar;Lucy Kim;Christof Angermueller;Li Lao;Tianqi Liu;Haibin Zhang;David Engel;Somer Greene;Anais White;Jessica Austin;Lilly Taylor;Shereen Ashraf;Dangyi Liu;Maria Georgaki;Irene Cai;Yana Kulizhskaya;Sonam Goenka;Brennan Saeta;Kiran Vodrahalli;Christian Frank;D. Cesare;Brona Robenek;Harry Richardson;Mahmoud Alnahlawi;Christopher Yew;Priya Ponnapalli;M. Tagliasacchi;Alex Korchemniy;Yelin Kim;Dinghua Li;B. Rosgen;Kyle Levin;Jeremy Wiesner;Praseem Banzal;Praveen Srinivasan;Hongkun Yu;cCauglar Unlu;David Reid;Zora Tung;D. Finchelstein;Ravin Kumar;A. Elisseeff;Jin Huang;Ming Zhang;Rui Zhu;Ricardo Aguilar;Mai Gim'enez;Jiawei Xia;Olivier Dousse;W. Gierke;S. Yeganeh;Damion Yates;Komal Jalan;Lu Li;Eri Latorre;Duc Dung Nguyen;Ken Durden;Praveen Kallakuri;Yaxin Liu;Matthew Johnson;Tomy Tsai;Alice Talbert;Jasmine Liu;Alexander Neitz;Chen Elkind;Marco Selvi;Mimi Jasarevic;Livio Baldini Soares;Albert Cui;Pidong Wang;Alek Wenjiao Wang;Xinyu Ye;Krystal Kallarackal;Lucia Loher;Hoi Lam;Josef Broder;D. Holtmann;Nina Martin;Bramandia Ramadhana;Daniel Toyama;Mrinal Shukla;Sujoy Basu;Abhi Mohan;Nicholas Fernando;Noah Fiedel;Kim Paterson;Hui Li;Ankush Garg;Jane Park;Donghyun Choi;Diane Wu;Sankalp Singh;Zhishuai Zhang;Amir Globerson;Lily Yu;John Carpenter;F. D. C. Quitry;Carey Radebaugh;Chu;Alex Tudor;Prakash Shroff;Drew Garmon;Dayou Du;Neera Vats;Han Lu;Shariq Iqbal;A. Yakubovich;Nilesh Tripuraneni;James Manyika;Haroon Qureshi;Nan Hua;Christel Ngani;Maria Abi Raad;Hannah Forbes;Anna Bulanova;Jeff Stanway;Mukund Sundararajan;Victor Ungureanu;Colton Bishop;Yunjie Li;Balaji Venkatraman;Bo Li;Chloe Thornton;Salvatore Scellato;Nishesh Gupta;Yicheng Wang;Ian Tenney;Xihui Wu;Ashish Shenoy;Gabriel Carvajal;Diana Gage Wright;Ben Bariach;Zhuyun Xiao;Peter Hawkins;Sid Dalmia;Cl'ement Farabet;Pedro Valenzuela;Quan Yuan;Christoper A. Welty;Ananth Agarwal;Mianna Chen;Wooyeol Kim;Brice Hulse;Nandita Dukkipati;Adam Paszke;Andrew Bolt;Elnaz Davoodi;Kiam Choo;Jennifer Beattie;J. Prendki;Harsha Vashisht;Rebeca Santamaria;Luis C. Cobo;Jarek Wilkiewicz;David Madras;Ali Elqursh;Grant Uy;Kevin Ramirez;Matt Harvey;Tyler Liechty;H. Zen;Jeff Seibert;Clara Huiyi Hu;A. Ya. Khorlin;Maigo Le;A. Aharoni;Megan Li;Lily Wang;Sandeep Kumar;Alejandro Lince;Norman Casagrande;Jay Hoover;Dalia El Badawy;David Soergel;Denis Vnukov;Matt Miecnikowski;Jiří Šimša;Anna Koop;Praveen Kumar;Thibault Sellam;Daniel Vlasic;Samira Daruki;Nir Shabat;John Zhang;Guolong Su;Kalpesh Krishna;Jiageng Zhang;Jeremiah Liu;Yi Sun;Evan Palmer;Alireza Ghaffarkhah;Xi Xiong;Victor Cotruta;Michael Fink;Lucas Dixon;Ashwin Sreevatsa;Adrian Goedeckemeyer;Alek Dimitriev;Mohsen Jafari;Remi Crocker;Nicholas A Fitzgerald;Aviral Kumar;Sanjay Ghemawat;Ivan Philips;Frederick Liu;Yannie Liang;Rachel Sterneck;Alena Repina;Marcus Wu;Laura Knight;Marin Georgiev;Hyo Lee;Harry Askham;A. Chakladar;Annie Louis;C. Crous;Hardie Cate;Dessie Petrova;Michael Quinn;Denese Owusu;Achintya Singhal;Nan Wei;Solomon Kim;Damien Vincent;Milad Nasr;Christopher A. Choquette;Reiko Tojo;Shawn Lu;Diego de Las Casas;Yuchung Cheng;Tolga Bolukbasi;Katherine Lee;Saaber Fatehi;R. Ananthanarayanan;Miteyan Patel;C. Kaed;Jing Li;Jakub Sygnowski;S. Belle;Zhe Chen;Jaclyn Konzelmann;Siim Poder;Roopal Garg;Vinod Koverkathu;Adam Brown;Chris Dyer;Rosanne Liu;Azade Nova;Jun Xu;Slav Petrov;D. Hassabis;K. Kavukcuoglu;Jeffrey Dean;O. Vinyals
  • 通讯作者:
    O. Vinyals
Cervicofacial Necrotizing Fasciitis and Steroids: Case Report and Literature Review
  • DOI:
    10.1016/j.joms.2011.02.021
  • 发表时间:
    2012-02-01
  • 期刊:
  • 影响因子:
  • 作者:
    Matthew Murray;Jeffrey Dean;Richard Finn
  • 通讯作者:
    Richard Finn
African clawed toads (Xenopus laevis) sense the distance of lateral line stimuli

Jeffrey Dean的其他文献

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{{ truncateString('Jeffrey Dean', 18)}}的其他基金

Dendroarchaeology in Western North America
北美西部的树木考古学
  • 批准号:
    1112563
  • 财政年份:
    2011
  • 资助金额:
    $ 87.12万
  • 项目类别:
    Continuing Grant
Southwestern Archaeological Tree-Ring Dating
西南考古树木年轮约会
  • 批准号:
    1006417
  • 财政年份:
    2010
  • 资助金额:
    $ 87.12万
  • 项目类别:
    Standard Grant
Southwestern Archaeological Tree-Ring Dating
西南考古树木年轮约会
  • 批准号:
    0706605
  • 财政年份:
    2007
  • 资助金额:
    $ 87.12万
  • 项目类别:
    Standard Grant
Southwestern Archaeological Tree-Ring Dating
西南考古树木年轮约会
  • 批准号:
    0413438
  • 财政年份:
    2004
  • 资助金额:
    $ 87.12万
  • 项目类别:
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Southwestern Archaeological Tree-Ring Dating
西南考古树木年轮约会
  • 批准号:
    0104242
  • 财政年份:
    2001
  • 资助金额:
    $ 87.12万
  • 项目类别:
    Standard Grant
Dendroarchaeology of the Navajo Occupation of the Southwest
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    9910773
  • 财政年份:
    2000
  • 资助金额:
    $ 87.12万
  • 项目类别:
    Standard Grant
Southwestern Archaeological Tree-Ring Dating
西南考古树木年轮约会
  • 批准号:
    9805413
  • 财政年份:
    1998
  • 资助金额:
    $ 87.12万
  • 项目类别:
    Continuing Grant
Dissertation Research: Archives Analysis of the Development of Archaeological Tree-Ring Dating
论文研究:考古树木年轮测年发展的档案分析
  • 批准号:
    9528790
  • 财政年份:
    1996
  • 资助金额:
    $ 87.12万
  • 项目类别:
    Standard Grant
Southwestern Archaeological Tree-Ring Dating
西南考古树木年轮约会
  • 批准号:
    9503516
  • 财政年份:
    1995
  • 资助金额:
    $ 87.12万
  • 项目类别:
    Continuing Grant
International Conference on Tree-Rings, Environment and Humanity
国际树木年轮、环境与人类会议
  • 批准号:
    9320003
  • 财政年份:
    1994
  • 资助金额:
    $ 87.12万
  • 项目类别:
    Standard Grant

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