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To realize midinfrared multi-wavelength transmission within one octave, the modified binary one dimensional photonic crystal (MB-1DPC) is introduced to the hollow core Bragg fiber (HC-BF) as its cladding in this paper. Theoretical analysis shows that the MB-1DPC could provide wider higher-order PBGs than the B-1DPC; hence, the HC-BF with MB-1DPC cladding is prefer to realize multi-wavelength transmission within one octave by two adjacent higher-order PBGs. A HC-BF sample with MB-1DPC cladding was fabricated and measured. The fabricated fiber sample has two low loss transmission bands around 2137 cm-1 and 3016 cm-1, with transmission losses of 3.50 dB/m and 3.79 dB/m, respectively. The multi-wavelength transmission within one octave of the HC-BF with MB-1DPC cladding has great potential in midinfrared multi-wavelength applications, such as multi-species gas sensing and infrared gas lasers.