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Tritone paradox
open-in-new
<h2 id="see-also">See also</h2> <ul><li><a href="/facts/Barberpole_illusion/XRPvdngY">Barberpole illusion</a></li> <li><a href="/facts/Flanging/JU9Kj7WC">Flanging</a></li> <li><a href="/facts/Missing_fundamental/he8aTtd5">Missing fundamental</a></li></ul> <h2 id="notes">Notes</h2> <ul><li>Deutsch, D. (1986). "A musical paradox". <i>Music Perception</i>. 3 (3): 275–280. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.2307%2F40285337">10.2307/40285337</a>. <a href="/facts/JSTOR_(identifier)/YTeVmaJ7">JSTOR</a> <a href="https://www.jstor.org/stable/40285337">40285337</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:6909819">6909819</a>. <a href="http://psycnet.apa.org/?fa=main.doiLanding&uid=1987-27127-001">Weblink</a> <a href="http://philomel.com/pdf/MP-1986_3_275-280.pdf">PDF Document</a></li> <li>Deutsch, D. (1986). <a href="https://doi.org/10.1121%2F1.2024050">"An auditory paradox"</a>. <i>Journal of the Acoustical Society of America</i>. 80 (S1): s93. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1986ASAJ...80...93D">1986ASAJ...80...93D</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1121%2F1.2024050">10.1121/1.2024050</a>. <a href="http://scitation.aip.org/vsearch/servlet/VerityServlet?KEY=ASADL&smode=strresults&sort=chron&maxdisp=25&threshold=0&pjournals=journals&pjournals=JASMAN&pjournals=ARLOFJ&pjournals=NOCOAN&pjournals=SOUCAU&possible1=An%20auditory%20paradox.%20&possible1zone=title&OUTLOG=NO&viewabs=JASMAN&key=DISPLAY&docID=1&page=1&chapter=0">Weblink</a></li> <li>Deutsch, D. (1987). <a href="https://doi.org/10.3758%2FBF03210490">"The tritone paradox: Effects of spectral variables"</a>. <i>Perception & Psychophysics</i>. 41 (6): 563–575. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.3758%2FBF03210490">10.3758/BF03210490</a>. <a href="/facts/PMID_(identifier)/JlHAvMHt">PMID</a> <a href="https://pubmed.ncbi.nlm.nih.gov/3615152">3615152</a>. <a href="http://philomel.com/pdf/P&P-1987_41_563-575.pdf">PDF Document</a></li> <li>Deutsch, D.; North, T.; Ray, L. (1990). "The tritone paradox: Correlate with the listener's vocal range for speech". <i>Music Perception</i>. 7 (4): 371–384. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.2307%2F40285473">10.2307/40285473</a>. <a href="/facts/JSTOR_(identifier)/YTeVmaJ7">JSTOR</a> <a href="https://www.jstor.org/stable/40285473">40285473</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:41891423">41891423</a>. <a href="http://philomel.com/pdf/MP-1990_7_371-384.pdf">PDF Document</a></li> <li>Deutsch, D. (1991). "The tritone paradox: An influence of language on music perception". <i>Music Perception</i>. 8 (4): 335–347. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.2307%2F40285517">10.2307/40285517</a>. <a href="/facts/JSTOR_(identifier)/YTeVmaJ7">JSTOR</a> <a href="https://www.jstor.org/stable/40285517">40285517</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:2255520">2255520</a>. <a href="http://philomel.com/pdf/MP-1991_8_335-347.pdf">PDF Document</a></li> <li>Deutsch, D. (1992). "Paradoxes of musical pitch". <i>Scientific American</i>. 267 (2): 88–95. <a href="/facts/Bibcode_(identifier)/9HtdQSGB">Bibcode</a>:<a href="https://ui.adsabs.harvard.edu/abs/1992SciAm.267b..88D">1992SciAm.267b..88D</a>. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1038%2Fscientificamerican0892-88">10.1038/scientificamerican0892-88</a>. <a href="/facts/PMID_(identifier)/JlHAvMHt">PMID</a> <a href="https://pubmed.ncbi.nlm.nih.gov/1641627">1641627</a>. <a href="http://philomel.com/pdf/Sci_Am-1992-Aug_267_88_95.pdf">PDF Document</a></li> <li>Deutsch, D. (1992). "Some new pitch paradoxes and their implications. In Auditory Processing of Complex Sounds". <i><a href="/facts/Philosophical_Transactions_of_the_Royal_Society_B/6L8udf76">Philosophical Transactions of the Royal Society B</a></i>. 336 (1278): 391–397. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1098%2Frstb.1992.0073">10.1098/rstb.1992.0073</a>. <a href="/facts/PMID_(identifier)/JlHAvMHt">PMID</a> <a href="https://pubmed.ncbi.nlm.nih.gov/1354379">1354379</a>. <a href="http://philomel.com/pdf/Proc_Royal_Soc-1992_336_391-397.pdf">PDF Document</a></li> <li>Deutsch, D. (1997). "The tritone paradox: A link between music and speech". <i>Current Directions in Psychological Science</i>. 6 (6): 174–180. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1111%2F1467-8721.ep10772951">10.1111/1467-8721.ep10772951</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:145677671">145677671</a>. <a href="http://philomel.com/pdf/Curr_Dir-1997_6_174-180.pdf">PDF Document</a></li> <li>Deutsch, D.; Henthorn T.; Dolson, M. (2004). "Speech patterns heard early in life influence later perception of the tritone paradox". <i>Music Perception</i>. 21 (3): 357–372. <a href="/facts/Doi_(identifier)/muM9Etpq">doi</a>:<a href="https://doi.org/10.1525%2Fmp.2004.21.3.357">10.1525/mp.2004.21.3.357</a>. <a href="/facts/S2CID_(identifier)/ldJsHa2Y">S2CID</a> <a href="https://api.semanticscholar.org/CorpusID:38512389">38512389</a>. <a href="http://philomel.com/pdf/MP-2004-21_357-372.pdf">PDF Document</a></li> <li>Deutsch, D. (2007). "Mothers and their offspring perceive the tritone paradox in closely similar ways". <i>Archives of Acoustics</i>. 32: 3–14. <a href="http://philomel.com/pdf/archives_of_acoustics-2007_32_3-14.pdf">PDF Document</a></li></ul> <h2 id="external-links">External links</h2> <ul><li><a href="http://www.cs.ubc.ca/nest/imager/contributions/flinn/Illusions/TT/tt.html">Audio example (requires Java)</a> <ul><li>Audio links in <a href="/facts/Au_file_format/bH8R3coK">Au file format</a> with 8-bit <a href="/facts/G.711/kopBvF25">G.711</a> <a href="/facts/Mu-law_algorithm/Ve8vJ6mb">μ-law</a> data encoding at 8000 samples per second with 1 channel: <a href="https://www.cs.ubc.ca/labs/imager/contributions/flinn/Illusions/Applets/tt/a110.au">tt/a110.au</a>, <a href="https://www.cs.ubc.ca/labs/imager/contributions/flinn/Illusions/Applets/tt/b110.au">tt/b110.au</a>, <a href="https://www.cs.ubc.ca/labs/imager/contributions/flinn/Illusions/Applets/tt/a160.au">tt/a160.au</a>, <a href="https://www.cs.ubc.ca/labs/imager/contributions/flinn/Illusions/Applets/tt/b160.au">tt/b160.au</a></li></ul></li> <li><a href="http://deutsch.ucsd.edu/psychology/deutsch_research1.php">Diana Deutsch's page on auditory illusions</a> <a href="https://web.archive.org/web/20110411033545/http://deutsch.ucsd.edu/psychology/deutsch_research1.php">Archived</a> 2011-04-11 at the <a href="/facts/Wayback_Machine/nmQ3a6JC">Wayback Machine</a></li> <li><a href="http://philomel.com/musical_illusions/play.php?fname=Tritone_paradox">Sound example of the tritone paradox</a></li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>R. N. Shepard. "Circularity in judgments of relative pitch". Journal of the Acoustical Society of America, 36(12):2346–2353, 1964. <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Deutsch, D. "A musical paradox". Music Perception, 3:275–280, 1986. <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>Deutsch, D. "The tritone paradox: An influence of language on music perception". Music Perception, 8:335–347, 1991. <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> <li id="fn:4"><p>Deutsch, D., Henthorn T. and Dolson, M. "Speech patterns heard early in life influence later perception of the tritone paradox". Music Perception, 21:357–372, 2004. <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li> </ol>